Which of the following could be an example of a function with a domain (-♾️,♾️) and a range (-♾️,2)? Check all that apply
Answers
Given
The expression are given
\(\begin{gathered} y=-(3)^x+2 \\ y=-(3)^x-2 \\ y=-(0.25)^x+2 \\ y=-(0.25)^x-2 \end{gathered}\)Explanation
The domain is the set of values of x for which the function is defined.
The range is the set of values of y for which the function is defined.
For the options A and C ,
The domain is (-♾,♾) .
The range is (-♾,2)
Answer
Hence the correct options are
A ,C
Related Questions
Solve using tangent and cosine
Answers
The value of side length x in diagram a) is 4.3mm and side length x in diagram b) is 309.7 m.
What are the sides of the triangle labelled x?The figures in the image are right triangles.
A)
angle D = 17 degree
Adjacent to angle D = 14 mm
Opposite to angle D = x
To solve for the missing side length x, we use the trigonometric ratio.
Note that: tangent = opposite / adjacent
Hence:
tan( 17 ) = x/14
x = tan( 17 ) × 14
x = 4.3mm
B)
angle Z = 82 degree
Adjacent to angle Z = 43.1 m
Hypotenuse = x
Using trigonometric ratio,
cosine = adjacent / hypotenuse
cos( 82 ) = 43.1 / x
x = 43.1 / cos( 82 )
x = 309.7 m
Therefore, the measure of x is 309.7 meters.
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Power Function:
Exercise: Recognize and analyze the graph of the power function as the exponent "n" and the coefficient "a" vary.
1. Consider a positive exponent power function
A) Describe the graph of the function when n is even, for this you must attach an image of the graph of the function that meets these conditions.
B) Describe the graph of the function when n is odd, for this you must attach an image of the graph of the function that meets these conditions.
C) Describe what happened when the coefficient a is positive and also when it is negative. Is there any change in the graph?
D) Describe what happened when the coefficient a increases or decreases. What happens to the graph of the function?
2. Consider a negative exponent power function
A) Describe the graph of the function when n is even, for this you must attach an image of the graph of the function that meets these conditions.
B) Describe the graph of the function when n is odd, for this you must attach an image of the graph of the function that meets these conditions.
C) Describe what happened when the coefficient a is positive and also when it is negative. Is there any change in the graph?
D) Describe what happened when the coefficient a increases or decreases. What happens to the graph of the function?
Answers
9514 1404 393
Explanation:
For this purpose, we define your power function as ...
f(x) = a·x^n
Most of the description here applies to any function. A "power function" is a special case of a polynomial function in that it only has one term. The parity of the exponent (even, odd) tells you whether the function is even or odd. As with any even or odd function, there will be a certain symmetry:
f(-x) = f(x) . . . even function; symmetrical about the y-axis
f(-x) = -f(x) . . . odd function; symmetrical about the origin
__
The coefficient of the function is the vertical scale factor. As with the vertical scale factor of any function, when it is negative, the function graph is reflected in the x-axis. When it increases in magnitude, points on the graph move farther from the x-axis; closer when it decreases.
__
1.A) The red graphs in the first attachment are graphs of f(x) = ax^2 for different values of 'a'. As described above, the graph is symmetrical about the y-axis.
B) The black graphs in the first attachment are graphs of f(x) = ax^3 for different values of 'a'. As described above, the graph is symmetrical about the origin.
C) As described above, when the coefficient is negative, the graph of the parent function is reflected across the x-axis. The dashed-line graphs in the first attachment are graphs of the function with a negative coefficient.
D) As described above, the coefficient is the vertical scale factor. Changing it stretches or compresses the graph vertically. The dotted red graph in the first attachment shows a vertical expansion; the dashed black graph shows a vertical compression (reduction in the coefficient magnitude).
__
2.The second attachment shows graphs with negative exponents. Otherwise, the graphs are scaled and reflected the same as they were in Part 1.
A) As described above, the graph is symmetrical about the y-axis.
B) As described above, the graph is symmetrical about the origin.
C) As described above, a negative coefficient causes the graph to be reflected across the x-axis.
D) As described above, the magnitude of the coefficient affects the distance of the graph from the x-axis. Increasing magnitude increases the distance; decreasing magnitude decreases the distance (proportionally).
Evaluate -4a² + 2a - 1 when a = - 3.
Answers
Answer:
-43
Step-by-step explanation:
-4(-3)² + 2(-3) - 1
=-4×9+2(-3)-1
=-36+2(-3)-1
=-36-6-1
=-43
Sketch the graph of each line.
6) y=- - x +4
2
5 3 2 1
Answers
Answer:
TypicL.
Step-by-step explanation:
YUH SO NO NEED TO ADDDD AND SUBTWRCT GIRLS
The length of a rectangular sign is 5 times its width. If the sign’s perimeter is 36 inches, what is the sign’s area?
Answers
First you need to find the length. To do this, you need to find what two numbers, when doubled, equal 36. I just tried trial and error until I got to 3. So 3 times 5 equals 15. Then you have two 15's and two 3's which equals 36. Now that you know the length and width you can then find the area. The formula to find area is L*W=A. Following this the expression would be 15*3=45. So the area is 45
Write each ratio statement as a fraction and reduce to lowest terms.
3 weeks to 10 days
Answers
Step-by-step explanation:
3 weeks=3x7 days
=21 days
3 weeks to 10 days
21/10
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Simplify the expression. (3.5x - 5) + (7.2x + 10)
Answers
Answer: 10.7x + 5
Step-by-step explanation:
(3.5 + 7.2)x + (-5 + 10) = 10.7x + 5
Which expression is equivalent to x2-16 ?
Answers
Answer:
Step-by-step explanation:
You should indicate which type of expression are you expecting.
But intuitively, x^2 + 16 = x^4 + 4^2 = (x+4)^2 - 8x
Fred brought a shirt and a wallet for a total of 34.26 before tax. The price of the wallet was $15 less than the price of the shirt. What was the price of the shirt?
Answers
Answer:
The price of the shirt is $24.63.
Step-by-step explanation:
Let's assume the price of the shirt is x. Then the price of the wallet will be x - 15. We know that the total cost before tax is 34.26, so we can set up the equation:
x + (x - 15) = 34.26
Simplifying, we get:
2x - 15 = 34.26
Adding 15 on both sides:
2x = 49.26
Dividing by 2:
x = 24.63
Therefore, the price of the shirt is $24.63.
If x=1/2 and y=3/2, find the values of i) xy÷(x+y) ii) x+y ÷ x-y
Answers
Answer:
i) 3/8
ii) -2
Step-by-step explanation:
i) 1/2*3/2/(1/2+3/2)
3/4/2
3/4*1/2
3/8.
ii) 1/2+3/2 / 1/3-3/2
2/-1
-2.
Hope this helps :)
Change 55% to fraction a. 55/10 b. 55/100 c. 55/1000 d. 55/10000
Answers
Answer:
55/100
Step-by-step explanation:
55/100
------Answer:
Answer:
55/100
Step-by-step explanation:
55/100
Step-by-step explanation:
Whose dog is that?Identity the husband and dog for each woman. ( show your work!)
Answers
We can construct a table to find the possibilities. The information we know is:
Woman Dog Husband
Abigail George Frank
Bertha
Candy Jerry Horace
Dodi Frank
Eudora Ike
Also we know the Bertha's husband has the same name as George's dog.
First we note that the name Horace it's not in the Dog column, so the Bertha's dog is named Horace.
Woman Dog Husband
Abigail George Frank
Bertha Horace
Candy Jerry Horace
Dodi Frank
Eudora Ike
The Bertha' husband is named Ike becuase Frank and Horace are already used, and can not be George, so the posibilities are Jerry or Ike, but Jerry is the name of Horace's dog and the problem says the Bertha's husband has the same name as George's dog.
So, our table is:
Woman Dog Husband
Abigail George Frank
Bertha Horace Ike
Candy Jerry Horace
Dodi Frank Jerry
Eudora Ike George
The husband of Eudora is named George because his dog is named as Bertha's husband.
And this is the only valid result, because we construct the table with information provided and satisfying the constrains, in the process there was no other unambigous choices.
HELP! 100 POINTS!!!
A baking company has developed two new cookie recipes, however, they only have the resources to add one item to their product line. They decide to randomly sample three groups of 100 people to determine which cookie recipe, A or B, is preferred. The results are shown in the following table.
Recipe A Recipe B
Sample #1 26 67
Sample #2 48 89
Sample #3 22 56
A. Based on the collected data, which recipe should the baking company add to their product line? How confident should the company be in their decision? Explain your reasoning using complete sentences.
B. Using the mean of the data for Recipe A, approximately what percentage of people would you expect to prefer Recipe A over Recipe B?
Answers
Answer:
Question A: They should add product B because it has a 69% rate of approval. They can be 69% confident that the addition of product B will be successful.
Question B: 31% of people would prefer cookie A over cookie B
Step-by-step explanation:
Nicole will attend a 2-year college, and she is planning her budget.
Answer the following.
(a) Below is an estimate of all her expenses and sources of funding for her 2-year college
education.
For each, select whether it is an expense or a source of funding.
Expense
Funding
Books and supplies:
Savings:
Scholarships:
Housing and food:
Tuition and fees:
Transportation:
$1700
$7800
$10,240
$14,020
$11,660
$2040
$11,600
$6200
$2980
Grants:
Student loans:
Personal expenses:
(b) What is the total of her estimated expenses?
$
0000
0000 1000
X
Answers
a. Expenses: Books and supplies, Housing and food, Tuition and fees, Transportation and Personal expenses. Funding: Savings,
Scholarships, Grants and Student loans.
b. Total estimated expenses are $29,400
(a) Below is an estimate of all her expenses and sources of funding for her 2-year college education.
Expense:
Books and supplies: $1700
Housing and food: $14,020
Tuition and fees: $11,660
Transportation: $2040
Personal expenses: $2980
Funding:
Savings: $7800
Scholarships: $10,240
Grants: $11,600
Student loans: $6200
(b) What is the total of her estimated expenses?
To find the total estimated expenses, we need to add up all the expenses mentioned:
$1700 + $14,020 + $11,660 + $2040 + $2980 = $29,400
Therefore, the total estimated expenses for Nicole's 2-year college education is $29,400.
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Kyra is blocking off several rooms in a hotel for guests coming to her wedding. The hotel can reserve large rooms that can hold 8 people, and small rooms that can hold 6 people. Kyra reserved twice as many large rooms as small rooms, which altogether can accommodate 88 guests. Determine the number of small rooms reserved and the number of large rooms reserved.
Answers
The number of small rooms reserved is 4.
The number of large rooms reserved is 8.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
Small rooms are denoted as S.
Large rooms are denoted as L.
Now,
We will make two equations.
L = 2S _____(1)
8L + 6S = 88 ______(2)
Putting (1) in (2) we get,
8L + 6S = 88
8 x (2S) + 6S = 88
16S + 6S = 88
22S = 88
S = 88/22
S = 8/2
S = 4
Now,
Putting S = 4 in (1) we get,
L = 2 x 4
L = 8
Thus,
The number of small rooms and large rooms reserved is 4 and 8.
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x\(x^{2} -12x+36=0\)
Answers
\(x^2-12x+36=0\\(x-6)^2=0\\x-6=0\\x=6\)
Find thr value of x for which 1 II m.
Answers
The value of x is 50 for which line l is parallel to line m and the angles are equal by the properties of parallel lines that is vertically opposite angles are equal.
What is parallel lines?Two lines (in the same plane) are said to be parallel if they never collide, regardless matter how far they are extended on either side. Parallel lines travel parallel to each other, like train tracks. Parallel lines in geometry are two lines in the same plane that are at equal distance from each other but never intersect. They can be both horizontal and vertical in orientation. Parallel lines can be found in everyday life, such as zebra crossings, notepad lines, and railway tracks.
Here,
Since l ⇵ m,
Vertically opposite angles are equal by the properties of parallel lines.
2x-5=95
2x=100
x=50
The value of x is 50, which means that line l is parallel to line m and the angles are equal according to the property of parallel lines, which states that vertically opposing angles are equal.
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Eric was attempting to construct a perpendicular bisector to the segment AB with a
compass and straight edge. Which of the below statements explains what Eric may
have done wrong?
Answers
Erick just needed to open the compass more to create arcs that have a radius of more than half the length of the segment AB. Option C
Steps in constructing a perpendicular bisectorThe steps involved in constructing a perpendicular bisector are:
Draw a line segment XY of any appropriate length. Take a compass, and with X as the center and with more than half of the line segment XY as widthDraw arcs above and below the line segment.Repeat the same step with Y as the center.Label the points of intersection as 'P' and 'Q'Thus, Erick just needed to open the compass more to create arcs that have a radius of more than half the length of the segment AB. Option C
The complete question
Eric was attempting to construct a perpendicular bisector to the segment AB with a compass and straight edge. Which of the below statements explains what Eric may have done wrong?
a. Eric should have started by putting the compass needle point at the midpoint of the segment AB.
b. On the second step, Eric should have placed the compass needle point where the first arc intersected the segment AB.
c. Erick just needed to open the compass more to create arcs that have a radius of more than half the length of the segment AB.
d. Erick didn’t do anything wrong he just needs to connect the opposite endpoints of each arc to finish the construction.
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Which equation matches this graph?
Answers
Answer:
its the 3rd one
Step-by-step explanation:
Bcs i know
Object A is moving at 30 ft per sec. Object B is moving at 20 mph.
Answers
Answer:
what we have to find or to prove.
Compute for the mean expenses of the XYZ Corporation given the following: Name Total Sales Total Expenses Quezon City 14,950.00 4,933.50 Caloocan City 18,290.00 6,035.70 Marikina City 37,200.00 12,276.00 Cebu City 18,900.00 6,237.00 Davao City 45,000.00 14,850.00 Mandaluyong City 23,000.00 7,590.00 Cavite 22,000.00 7,260.00 Laguna 21,000.00 6,930.00 Manila 66,000.00 21,780.00 Iloilo 34,000.00 11,220.00
Answers
The computed mean expenses of the XYZ Corporation based on the given information are 9,911.22.
What is the mean?The mean refers to the average value.
The mean is computed as the quotient that results from dividing the total value of the data set by the number of items in the set.
Name Total Sales Total Expenses
Quezon City 14,950.00 4,933.50
Caloocan City 18,290.00 6,035.70
Marikina City 37,200.00 12,276.00
Cebu City 18,900.00 6,237.00
Davao City 45,000.00 14,850.00
Mandaluyong City 23,000.00 7,590.00
Cavite 22,000.00 7,260.00
Laguna 21,000.00 6,930.00
Manila 66,000.00 21,780.00
Iloilo 34,000.00 11,220.00
Total 99,112.20
Mean Expenses = 9,911.22 (99,112.20 ÷ 10)
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A manufacturer has two options for making cube-shaped boxes. The cost is calculated by multiplying the surface area of the box by the cost per square inch of the cardboard. Answer parts a through c below.
Answers
The quadratic functions are: f(x) = 0.03x² for Design A and g(x) = 0.024x² for Design B.
Describe Quadratic functions?A quadratic function is a type of polynomial function of the form f(x) = ax² + bx + c, where a, b, and c are constants and x is the variable. In a quadratic function, the highest power of the variable is 2.
The graph of a quadratic function is a parabola, which is a U-shaped curve that opens either upwards or downwards depending on the sign of the coefficient a. If a > 0, the parabola opens upwards, and if a < 0, the parabola opens downwards. The vertex of the parabola, which is the point where the curve changes direction, is given by the coordinates (-b/2a, f(-b/2a)).
Quadratic functions have a wide range of applications in various fields such as physics, engineering, economics, and finance. For example, they can be used to model the motion of projectiles, the trajectory of a rocket, the shape of a bridge arch, the optimization of business profits, and the behavior of financial markets.
Let's assume that each side of the cube has a length of x inches. Then, the surface area of the cube is 6x² square inches.
a. For Design A with a cost of $0.005 per square inch, the total cardboard cost can be calculated using the quadratic function:
f(x) = 0.005(6x²) = 0.03x²
b. For Design B with a cost of $0.004 per square inch, the total cardboard cost can be calculated using the quadratic function:
g(x) = 0.004(6x²) = 0.024x²
Therefore, the quadratic functions are:
f(x) = 0.03x² for Design A
g(x) = 0.024x² for Design B
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The complete question is:
Which fraction can be replaced with 0 when estimating with fractions?
A. 1/5
B. 3/4
C. 8/20
D. 4/9
Answers
Would you expect the rates of change of a car's speed during a drive through a city to be constant or variable?
Answers
Answer:Variable
Step-by-step explanation:
The speed would always be changing, meaning varying. It would not be a static speed or constant speed.
What is the length of AB?
A. 2
B. 6
C. 8
D. 4
Answers
Answer:
maybe ; the length of ab is 6
algebra question !!! Please help tyty
Answers
Answer:i belive the answer is 4
Step-by-step explanation:
Answer:
4 isnt a function
Step-by-step explanation:
the have the same x value which is against the rules of a function
5/2÷9/4_________________
Answers
Remember, the trick to dividing fractions is to use keep/change/flip.
First, keep your 5/2 the same. Second, change your division sign to a multiplication sign. Third, flip your 9/4 to get 4/9. Multiply!
Mixed number form: 1 1/9
Exact form: 10/9
Decimal form: 1.1 repeating
Hope this helps!
-abagalecoleman
3x+2>29. solve for x
Answers
Answer:
x>9
Step-by-step explanation:
3x+2−2>29−2
3x>27
divide by 3
3x/3>27/3
perimeter of a rectangle is 80 m if one of the side is 4 m find the area of the rectangle
Answers
Answer:
80m²Step-by-step explanation:
The perimeter of a rectangle is 80 m if one of the side is 4 m find the area of the rectangle
Inverse formula L = A : W
80 : 4 = 20m
Area = L * W
20 * 4 = 80m²
Which equation has the solution set (1, 3)? A. x² + 4x + 3 = 0 B. x² + 4x − 3 = 0 C. x² - 4x - 3 = 0 x² - 4x +3=0
Answers
Answer:
The equation that has the solution set (1, 3) is D. x² - 4x +3=0.
Step-by-step explanation:
To find out which equation has the solution set (1, 3), we can substitute x = 1 and x = 3 into each equation and see which one gives us 0.
A. x² + 4x + 3 = 0
Substituting x = 1: (1)² + 4(1) + 3 = 8 ≠ 0
Substituting x = 3: (3)² + 4(3) + 3 = 24 ≠ 0
B. x² + 4x − 3 = 0
Substituting x = 1: (1)² + 4(1) − 3 = 2 ≠ 0
Substituting x = 3: (3)² + 4(3) − 3 = 18 ≠ 0
C. x² - 4x - 3 = 0
Substituting x = 1: (1)² - 4(1) - 3 = -6 ≠ 0
Substituting x = 3: (3)² - 4(3) - 3 = 0
D. x² - 4x +3=0
Substituting x = 1: (1)² - 4(1) + 3 = 0
Substituting x = 3: (3)² - 4(3) + 3 = 0
The equation that has the solution set (1, 3) is D. x² - 4x +3=0.