Use the method of undetermined coefficients to determine the form of a particular solution for
yᵐ + 12yⁿ - 13y = xeˣ + 2x
Answers
The particular solution for yᵐ + 12yⁿ - 13y = xeˣ + 2x using the method of undetermined coefficients is y_p = Ax^2e^x + Bx + C.
To find a particular solution for the non-homogeneous linear differential equation:
yᵐ + 12yⁿ - 13y = xeˣ + 2x
We will use the method of undetermined coefficients. First, we need to find the general solution to the homogeneous equation:
yᵐ + 12yⁿ - 13y = 0
Since this equation has constant coefficients, we can assume a solution of the form:
y = e^(rt)
Substituting this into the homogeneous equation, we get:
e^(rm) + 12e^(rn) - 13e^(rt) = 0
Dividing both sides by e^(rt), we obtain:
e^(r(m-n)) + 12 - 13e^((r-n)t) = 0
This equation holds for all t, so the coefficients must be zero. Thus, we have the following characteristic equation:
r^(m-n) + 12r^(n-m) - 13 = 0
We can simplify this equation by making the substitution u = r^(n-m). Then, we have:
u^2 + 12u - 13 = 0
Solving for u, we get:
u = 1 or u = -13
Substituting back in for u, we obtain the two roots:
r₁ = 1^(1/(n-m))
r₂ = -13^(1/(n-m))
Now, we can write the general solution to the homogeneous equation as:
y_h(t) = c₁e^(r₁t) + c₂e^(r₂t)
To find a particular solution to the non-homogeneous equation, we will assume that the solution has the same form as the non-homogeneous term. Since the right-hand side of the equation is a sum of two terms, we will try to find two particular solutions, one for each term.
For the term xe^x, we will assume a particular solution of the form:
y_p₁(t) = (Ax + B)e^x
Taking the first and second derivatives, we get:
y'_p₁(t) = Ae^x + Axe^x + Be^x
y"_p₁(t) = 2Ae^x + Axe^x + Axe^x + Be^x
Substituting these into the non-homogeneous equation, we get:
[(A + 2Ax + B) + 12(Ax + B) - 13(Ax + B)e^x]e^x = xe^x
Simplifying this equation, we get:
[(13A - A) x + (13B + 2A + B)]e^x = xe^x
Equating coefficients, we get the following system of equations:
12A + 14B = 0
-A + 13B = 1
Solving for A and B, we get:
A = -1/11
B = 6/11
Therefore, the particular solution for the first term is:
y_p₁(t) = (-x/11 + 6/11)e^x
For the term 2x, we will assume a particular solution of the form:
y_p₂(t) = Cx + D
Substituting this into the non-homogeneous equation, we get:
Cn + D + 12C - 13Cx = 2x
Equating coefficients, we get:
-13C = 2
Cn + D + 12C = 0
Solving for C and D, we get:
C = -2/13
D = 24/13
To know more about undetermined coefficients,
https://brainly.com/question/30544830
#SPJ11
Related Questions
is9- -4x=y a linear equation
Answers
The equation 9 + 4x = y given is a linear equation.
What is a linear equation?A linear equation is an equation with a leading degree of 1. An example of a linear equation is expressed as y = mx + b.
where
m is the slope
b is the intercept
Given the expression below
9 - -4x = y
9 + 4x = y
Swap sides
y = 4x + 9
Since the degree of the resulting equation has a leading degree of 1, hence the equation is a linear equation.
Learn more on linear equation here: https://brainly.com/question/2030026
#SPJ1
Find the slope of the line through each pair of points.
1) (13,3), (15,3)
Answers
After answering the presented question, we can conclude that slope Therefore, the slope of the line passing through the points \((13,3)\) and \((15,3)\) is 0.
what is slope?In mathematics, slope is the steepness of a line or curve. It is a measure of how much a function's y-value fluctuates when the x-value changes. A line's slope is commonly symbolised by the letter m and may be calculated as follows: m = (y₂ - y₁) / (x₂ - x₁) (x₁, y₁) and (x₂, y₂) are any two points on the line. The slope of a line might be positive, negative, zero, or unknown. A positive slope means the line ascends from left to right, whereas a negative slope means the line drops from left to right.
To find the slope of the line passing through the two points \((13,3)\) and \((15,3)\), we can use the slope formula:
slope = (y₂ - y₁) / (x₂ - x₁)
where
(x₁.y₁) =\((13,3)\)
and (x₂,y₂) = \((15,3)\)
slope = \((3 - 3) / (15 - 13) = 0 / 2 = 0\)
Therefore, the slope of the line passing through the points \((13,3)\) and \((15,3)\) is 0.
To know more about slope visit:
brainly.com/question/3605446
#SPJ1
PSSR#2 Satta Trees
In 1912. Japan gave the United States several thousand flowering cherry trees as a symbol of friendship.
Similarly, the nation of Cameroon plans to give flowering Satta trees to other countries this year. When
asked how to decide which Satta Tress make good gifts, Cameroon's chief arborist explained:
"We plant Satta trees when they are 6 cm tall, and they
grow 9cm every year. The trees only power when they are
taller than 150 cm.
"When the trees become very old, they stop flowering. Make
sure you choose trees that are no more than 240 cm tall!"
It is very important that the trees Cameroon gives flower this
year! It would be considered an insult to receive a tree that
did not bloom. Luckily, Cameroon has many groves of Satta trees from which to select its gifts. How old
must the trees be so that they will flower within the year?
Answers
The trees must be between 16 and 26 years old
16 < x ≤ 26
Height at which the trees are planted = 6 cm
Yearly growth of trees = 9cm
The tree can only flower when they are taller than 150 cm
The tree to be selected should not be more than 240 cm so that they can flower
Let the age of the tree be represented by x
The equation that represents this illustration is:
150 < 6 + 9x ≤ 240
150 - 6 < 6 + 9x - 6 ≤ 240 - 6
144 < 9x ≤ 234
Divide through by 9
144/9 < x ≤ 234/9
16 < x ≤ 26
For the flower to blossom, it must be older than 16 years and not more than 26 years old
Learn more here: https://brainly.com/question/19042935
MN appears to be tangent to OC, but don't trust the picture!
Use calculations to see if MN is tangent to OC.
Answers
Answer:
8
Step-by-step explanation:
Answer:
I'm not sure I'm sorry good luck
100% CHPLA 100% ON 100% Comed 04 0% UN ON < Question 3 of 11 > Given central angles a 0.6 radians and = 2 radians, find the lengths of arcs s, and s2. The radius of the circle is 4. (Use symbolic nota
Answers
All circles are similar, because we can map any circle onto another using just rigid transformations and dilations. Circles are not all congruent, because they can have different radius lengths.
A sector is the portion of the interior of a circle between two radii. Two sectors must have congruent central angles to be similar.
An arc is the portion of the circumference of a circle between two radii. Likewise, two arcs must have congruent central angles to be similar.
When we studied right triangles, we learned that for a given acute angle measure, the ratio
opposite leg length
hypotenuse length
hypotenuse length
opposite leg length
start fraction, start text, o, p, p, o, s, i, t, e, space, l, e, g, space, l, e, n, g, t, h, end text, divided by, start text, h, y, p, o, t, e, n, u, s, e, space, l, e, n, g, t, h, end text, end fraction was always the same, no matter how big the right triangle was. We call that ratio the sine of the angle.
Something very similar happens when we look at the ratio
arc length
radius length
radius length
arc length
start fraction, start text, a, r, c, space, l, e, n, g, t, h, end text, divided by, start text, r, a, d, i, u, s, space, l, e, n, g, t, h, end text, end fraction in a sector with a given angle. For each claim below, try explaining the reason to yourself before looking at the explanation.
The sectors in these two circles have the same central angle measure.
Learn more about circles are similar here:
https://brainly.com/question/24106562
#SPJ11
When 16 decreased by number it is 15 what is the equation?
Answers
Answer:
16 -x= 15
Step-by-step explanation:
Let the sumber be x.
When 16 is decreased by a number, that number is subtracted from 16. The result after the subtraction (the number that appears on the right-hand side of the equal sign) would then be 5.
This can be represented by the equation:
16 -x= 15
To solve for x, we bring all the constants to one side of the equation:
-x= 15 -16
-x= -1
Divide both sides by -1:
x= 1
please help its urgent
Answers
Step-by-step explanation:
(√3 + √27) / √2
= √3(1 + √9) / √2
= √3(1 + 3) / √2
= 4√3 / √2
= √16 * √3 / √2
= √24. (Shown)
Hence the value of k is 24.
From midnight to 7:00 am, the temperature dropped 0.8°C
temperature at 7:00 am was 4.4 deg * C what was the temperature at midnight?
Answers
Answer:
5.2
Step-by-step explanation:
add back 0.8 from 7 am temp which is 4.4 degrees.
Answer:
5.2 °C
Step-by-step explanation:
4.4°C + 0.8°C = 5.2°C
Two friends, Lucy and Lydia, had just bought their first cars. Lydia uses 3 gallons of gas to drive 114 miles in her car. The graph below represents the number of miles, y that Lucy can drive her car for every gallons of gas. Lucy's Gas Mileage 00 850 600 FO 500 (10,415) NEXT SLIME DO (5,207 5) 13 Gallops of Gas How many miles less doen Lydia's car travel on one gallon of gas than Lucy's car?
Answers
Answer:
3.5 miles
Step-by-step explanation:
Lydia:
3 gallons of gas = 114 miles
We want to know how many miles a friend can travel on one gallon of gas, so we divide both sides by 3
1 gallon of gas = 114/3 miles = 38 miles
Lucy:
One point is
10x corresponds to 415y
10 gallons = 415 miles
divide both sides by 10 to get one gallon on a side
1 gallon = 41.5 miles
Lydia:
38 miles = 1 gallon
Lucy:
41.5 miles = 1 gallon
For 1 gallon, the difference is 3.5 miles, with Lydia having 3.5 miles less than Lucy.
Express the confidence interval
left parenthesis 0.008 comma 0.096 right parenthesis(0.008,0.096)
in the form of
ModifyingAbove p with caret minus Upper E less than p less than ModifyingAbove p with caret plus Upper Ep−E
Answers
Modifying Above p with caret minus Upper E less than p less than ModifyingAbove p with caret plus Upper E
where p is the point estimate, and Upper E is the margin of error.
To express the confidence interval (0.008, 0.096) in the form of ModifyingAbove p with caret minus Upper E less than p less than ModifyingAbove p with caret plus Upper E, we first need to find the point estimate (p) and the margin of error (Upper E).
The point estimate is the midpoint of the interval, which is:
p = (0.008 + 0.096) / 2 = 0.052
The margin of error is half the width of the interval, which is:
Upper E = (0.096 - 0.008) / 2 = 0.044
Therefore, the confidence interval can be expressed as:
ModifyingAbove 0.052 with caret minus 0.044 less than p less than ModifyingAbove 0.052 with caret plus 0.044
This means that we are 95% confident that the true population proportion (p) falls within the range of 0.008 to 0.096.
the confidence interval (0.008, 0.096) can be expressed in the form of Modifying Above p with caret minus Upper E less than p less than Modifying Above p with caret plus Upper E as Modifying Above 0.052 with caret minus 0.044 less than p less than Modifying Above 0.052 with caret plus 0.044. This means that we are 95% confident that the true population proportion falls within this range.
To learn more about interval visit:
https://brainly.com/question/30486507
#SPJ11
Simplify 3/4 - 4r + 1/2r - 1/2+ 1/2r
Answers
Answer:
-3r+1/4
Explanation:
Answer:
-3r+1/4
Step-by-step explanation:
3/4-4r+1/2r-1 x 1/2+1/2 x r
3/4-4r+1r/2-1x1/2+1/2 x r
3/4-4r+ 1r/2-1x1/2+1/2 x r
3/4-4r+ r/2-1 x 1/2 +1/2 x r
3/4-4r+r/2-1 x 1/2+1/2 x r
3/4-4r+r/2-1/2+1/2 x r
3/4-4r+r/2-1/2+1/2r
3/4-4r+r/2-1/2+1r/2
3/4-4r+r/2-1/2+1r/2
3/4-4r+r/2+r/2
3/4-4r+r/2-1/2+r/2
1/4-4r+r/2+r/2
1/4-4r+ 2xr/2 (two times r/2 equals r)
1/4-4r+r
1/4-4+r
1/4-3r
1/4-3r
-3r+1/4
-3r+1/4
and that's how you get your answer.
i hope this helps.
:)
when using a one-way within-groups anova the variablilty due to individual differences is reduced resulting in a
Answers
When using a one-way within-groups ANOVA, the variability due to individual differences is reduced, resulting in a more accurate assessment of the effect of the independent variable on the dependent variable.
How to use an ANOVATo minimize the variation between individuals, their scores are evaluated within the same group rather than comparing them across different groups.
The within-groups ANOVA method utilizes identical individuals in different conditions or treatments to counteract personal variances, thereby enabling a more accurate measurement of the independent variable's impact.
By adopting this method, the analysis gains greater statistical strength, resulting in a more heightened aptitude to identify genuine effects of the independent factor on the dependent element.
Learn more about ANOVA at: https://brainly.com/question/25800044
#SPJ1
Explain the difference between finding the vertex of a function written in vertex form and finding the vertex of a function written in standard form.
Answers
The equation in the vertex form will be y = (x + b/2a)² - b²/4a² + c/a and the equation in the standard form will be ax² + bx + c = 0.
What is a quadratic equation?The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.
Convert the standard equation into a vertex form, then we have
x² + (b/a)x + (c/a) = 0
x² + (b/a)x + b²/4a² - b²/4a² + c/a = 0
(x + b/2a)² - b²/4a² + c/a = 0
Put h = - b/2a and k = - b²/4a² + c/a, where (h, k) be the vertex of the parabola. Then the equation will be
(x - h)² + k = 0
The function written in vertex form will be y = (x - h)² + k and in the standard form will be ax² + bx + c = 0.
More about the quadratic equation link is given below.
https://brainly.com/question/2263981
#SPJ1
a group of n people plays a game. each person puts their name on a slip of paper in a hat, and then picks a name randomly from the hat (without replacement). what is the standard ceviation of the number x of people who pick their own name (assume n≥2)?
Answers
Given that each individual has a \(\frac{1}{n}\) chance of receiving their own name, we may indicate whether or not person I received their own name by using a sequence of n identically distributed Bernoulli random variables with
\(P=\frac{1}{n}\) .
The total number of people who received their own name is the sum of these Bernoullis. The linearity of expectation causes the expected value of the sum to equal the sum of their respective expected values.
Since each summand has expected value \(\frac{1}{n}\) and there are n of them, the expected value is one.
To know more about Bernoulli's Principle visit,
https://brainly.com/question/28061442
#SPJ4
I NEED AN ANSWER ASAP PLEASE
Answers
Step-by-step explanation:
the correct answer is option a 6a-7
For each of the following, find the percent change in the volume of a cube. The length of the side of the cube was first increased by 50% and then decreased by 20%.
Answers
Answer:
the volume increased by 72.8%
Step-by-step explanation:
After the dilations, the scale factor for the length of the side is ...
(1 +50%)·(1 -20%) = 1.50·0.80 = 1.20
The scale factor for volume is the cube of this: 1.20^3 = 1.728
This represents an increase over the original volume of 1 by ...
1.728 -1 = 0.728 = 72.8%
The change in the volume of the cube is an increase of 72.8%.
STOP WITH THE LINKS! please? Help? NO LINKS!?????
Answers
Answer:
The answer is 24
just multiply 6 and 4 together
variables that indicate the distance a target is from the level achieved are called
Answers
Variables that indicate the distance a target is from the level achieved are called performance metrics or progress indicators.
Variables that indicate the distance a target is from the level achieved are called performance metrics or progress indicators. These variables help measure and track progress towards a goal by providing a quantitative or qualitative measure of how far the target is from the desired level of achievement.
Performance metrics can be represented in various forms, such as distance covered, percentage completed, points earned, or even subjective evaluations. For example, in a fitness program, a performance metric could be the number of miles run or the number of push-ups completed.
These metrics enable individuals or organizations to assess their progress and make necessary adjustments to reach their desired outcomes.
To know more about metrics visit.
https://brainly.com/question/32738513
#SPJ11
Which of the following could be an example of a function with a domain
(-∞0,00) and a range (-∞,4)? Check all that apply.
A. V = -(0.25)* - 4
-
□ B. V = − (0.25)*+4
c. V = (3)* +4
□ D. V = − (3)* — 4
-
Answers
The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4
A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.
From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.
Know more about function here:
https://brainly.com/question/11624077
#SPJ8
Expand and simplify 5(5x-2)+3(x-2)
Answers
Answer:
28x - 16
Step-by-step explanation:
multiply in the brackets
5 × 5x = 25x, 5 × -2 = -10, 3 × x = 3x, 3 × -2 = -6
25x - 10 + 3x - 6
simplify by collecting like terms
25x + 3x = 28x
-10 - 6 = -16
final answer = 28x - 16
What is the name of the green segment in the hyperbola below
Answers
The Length of the conjugate axis is equal to 2b. The transverse axis is an essential feature of a hyperbola, as it determines the overall shape of the hyperbola.
In a hyperbola, the name of the green segment is called the transverse axis. The transverse axis is the longest distance between any two points on the hyperbola, and it passes through the center of the hyperbola. It divides the hyperbola into two separate parts called branches.
The transverse axis of a hyperbola lies along the major axis, which is perpendicular to the minor axis. Therefore, it is also sometimes called the major axis.
The other axis of a hyperbola is called the conjugate axis or minor axis. It is perpendicular to the transverse axis and passes through the center of the hyperbola. The length of the conjugate axis is usually shorter than the transverse axis.In the hyperbola above, the green segment is the transverse axis, and it is represented by the letters "2a". Therefore, the length of the transverse axis is equal to 2a.
The blue segment is the conjugate axis, and it is represented by the letters "2b".
Therefore, the length of the conjugate axis is equal to 2b.The transverse axis is an essential feature of a hyperbola, as it determines the overall shape of the hyperbola. In particular, the distance between the two branches of the hyperbola is determined by the length of the transverse axis.
If the transverse axis is longer, then the branches of the hyperbola will be further apart, and the hyperbola will look more stretched out. Conversely, if the transverse axis is shorter, then the branches of the hyperbola will be closer together, and the hyperbola will look more compressed.
For more questions on Length .
https://brainly.com/question/28322552
#SPJ8
You have 4 white marbles and 5 black marbles. What would be the ratio for pulling out a black marble from the bag? 5:4 or 5:9?
Answers
you add up your marbles and that will be your denominator and then since you’re pulling out the black marbles the top will be 5
Integrate by hand the following functions: adr b) (42³-2r+7) dz Upload Choose a File
Answers
The integral of (42³ - 2r + 7) dz is equal to (42³ - 2r + 7)z + C.
To integrate the function (42³ - 2r + 7) dz, we treat r as a constant and integrate with respect to z. The integral of a constant with respect to z is simply the constant multiplied by z:
∫ (42³ - 2r + 7) dz = (42³ - 2r + 7)z + C
where C is the constant of integration.
Note: The integral of a constant term (such as 7) with respect to any variable is simply the constant multiplied by the variable. In this case, the variable is z.
Know more about integration here:
https://brainly.com/question/31744185
#SPJ11
PLSSS HELP ME
(5x5)/[10x22]-4\52
Answers
Answer: 21/572
\(\frac{5.5}{10 . 22} - \frac{4}{52}\)
The dots stand for multiplication
Q14- There are 6 different types of drinks in a store and John wants to buy 5 drinks. Find the number of choices John can do this. a) 6 b) 120 c) 252 d) 30 e) 720
Answers
The number of choices John can make when buying 5 drinks from a store with 6 different types of drinks is 252.
To find the number of choices John can make when buying 5 drinks, we can use the formula for combinations: C(n, r) = n!/r!(n-r)!. Here, n is the total number of drinks available in the store, which is 6, and r is the number of drinks John wants to buy, which is 5.
Plugging in these values, we get C(6, 5) = 6!/5!(6-5)! = 6 choices. Therefore, the answer is option (c) 252. This means that John can choose 252 different combinations of 5 drinks from the 6 available types.
Know more about combinations here:
https://brainly.com/question/3901018
#SPJ11
Someone please help me I’m actually struggling so much rn.
Answers
Answer:
Step-by-step explanation:
okay don't feel bad, you actually got it right, let me help you with some holes!
You calculate slope by the rise over run. These people are confusing you a bit - do problem 2 then 1
the vertical change is -1 horizontal change is 3 so by rise/run=-1/3
-1/3 is the slope
for the second problem this is confusing but just read and try to analyze
vertical change/horizontal change = 5-4/0-3= 1/-3(or -1/3)
The y intercept is the point where the line hits the y axis, so at point (0, 5)
The function is y=mx+b
m is the slope
b is the y intercept
so y=-1/3x+5
How many Total Hours (In Decimals) did you work in a week if you worked 8:15 onMonday, 7:30 on Tuesday, 8:45 on Wednesday, 7:00 on Thursday and 9:15 onFriday?*
Answers
We can convert any of these hours into decimals to solve this question. In this way, we have:
Monday: 8:15 ---> (15/60= 1/4 = 0.25) ---> Monday: 8.25.
Tuesday: 7:30 ---> (30/60 = 1/2 = 0.5) ---> Tuesday: 7.5
Wednesday: 8:45 ---> (45/60= 3/4 = 0.75) --->Wednesday: 8.75.
Thursday: 7:00 ---> Thursday: 7.00.
Friday: 9:15 ---> Friday (15/60 = 1/4 = 0.25) ---Friday: 9.25
Then, we need to sum all of these values:
8.25
7.50
8.75
7.00
9.25
____
40.75 hours
Then, you worked 40.75 hours in a week (in decimals).
1231 Be 40 2) Classify The following numbers whele numbers, terminating decimals and non terminating non repeating non terminating repeating decimals intigers
0. 45
0. 131313
- 12
Answers
Classification of the given numbers as terminating decimal or non-terminating recurring decimal or non-terminating non-recurring decimal:
a. 0.45 : terminating
b. 0.131313 : terminating
c. -12 : terminating
d. 0.09099099909999... : non-terminating non-recurring decimal
e. 3.143256143256... non-terminating recurring decimal
As given,
Classification of the given numbers in the following way :
Terminating decimals : Finite number of digits after decimal.Non-terminating recurring decimal :Infinite number of digits with pattern repetition after decimal.Non-terminating non-recurring decimal : Infinite number of digits without repetition after decimal.a. 0.45 : terminating
b. 0.131313 : terminating
c. -12 : terminating
d. 0.09099099909999... : non-terminating non-recurring decimal
e. 3.143256143256... non-terminating recurring decimal
Therefore, classification of the numbers are given below:
b. 0.131313 : terminating decimal
c. -12 : terminating decimal
d. 0.09099099909999... : non-terminating non-recurring decimal
e. 3.143256143256... non-terminating recurring decimal
The complete question is:
Classify the following numbers as terminating decimal or non-terminating
recurring decimal or non-terminating non-recurring decimal.
a. 0.45
b. 0.131313
c. -12
d. 0.09099099909999...
e. 3.143256143256...
Learn more about non- terminating decimal here
brainly.com/question/2909511
#SPJ4
If a fair die is rolled 7 times, what is the probability, to the nearest thousandth, of getting exactly 3 fours?
Answers
The probability of getting exactly 1 three, to the nearest thousandth is 0.347.
We have,
Binomial distribution is the distribution of a random variable X for which there are only two possibilities. The probability p for the success and the probability of 1-p for the failure, which consist of n trials.
The binomial distribution has the formula,
P(x) = ⁿCₓ pˣ (1-p)ⁿ⁻ˣ
where x : number of times for a specific outcome within n trials
p : probability of success in each trial
n : number of trials
Given that a fair die is rolled 3 times.
Here, n = 3, x = 1
p = probability of getting three for 1 trial = 1/6
1 - p = 1 - 1/6 = 5/6
P(1) = ³C₁ (1/6)¹ (5/6)³⁻¹
= 0.347
Hence the probability of getting exactly 1 three is 0.347.
Learn more about Binomial Distribution here :
brainly.com/question/14565246
#SPJ1
complete question:
If a fair die is rolled 3 times, what is the probability, to the nearest thousandth, of getting exactly 1 three?
Use the vertical line test to determine if the relation whose graph is provided is a function
Answers
Answer:
the graph represents a function.
Step-by-step explanation:
The vertical line test is a test to check if a graph represents a function.
To proceed, draw (imaginary) vertical lines through the entire domain of the graph. If any of the line intersects the graph at any value of x, then the graph does not represent a function.
Here it is not possible to draw a vertical line to intersect the red curve at any point, therefore the graph represents a function.
Answer:
Yes, the graph represents a function.
Step-by-step explanation:
The vertical line test is a test you can do to determine if a graph is a function. Basically, you draw straight vertical lines, and if it intersects with the line more than once, the graph is not a function.
This is because in a function, each input can only have one output.
So, we can draw vertical lines through the graph, and you'll find that each line will only intersect with the line once.
Based on this, the given graph would represent a function.