Question 1

Use a graphing utility to graph the function and find the zeroes of the function. ​   ​

Accepted Answer

A)    
B)    
C)    
D) ​   
E) no real zeroes 
A)    
B)    
C)    
D) ​   
E) no real zeroes

Question 2

Find the inverse of the one-to-one function. ​
Y = 3x
​

Accepted Answer

A)    
B) f -1(x) = 3x 
C)    
D)    
E) f -1(x) = 9x 
A)    
B) f -1(x) = 3x 
C)    
D)    
E) f -1(x) = 9x

Question 3

Identify the parent function and the transformation shown in the graph.Write an equation for the function shown in the graph. ​   ​

Accepted Answer

A) Reflection in the x-axis and vertical shift of   
B) Vertical shift of x-axis and vertical shift of   
C) Reflection in the x-axis and vertical shift of   
D) Horizontal shift of x-axis and vertical shift of   
E) Horizontal shift of x-axis and vertical shift of   
A) Reflection in the x-axis and vertical shift of   
B) Vertical shift of x-axis and vertical shift of   
C) Reflection in the x-axis and vertical shift of   
D) Horizontal shift of x-axis and vertical shift of   
E) Horizontal shift of x-axis and vertical shift of

Question 4

The number of lumens (time rate of flow of light) L from a fluorescent lamp can be approximated by the model ​
L = -0.294x2 + 97.744x - 664.875, 20 ≤ x ≤ 90
​
Where x is the wattage of the lamp.
​
Use a graphing utility to select the graph of the function.Use the graph to estimate the wattage necessary to obtain 2400 lumens.
​

Accepted Answer

A) ​   40W 
B) ​   30W 
C) ​   45W 
D) ​   25W 
E) ​   35W 
A) ​   40W 
B) ​   30W 
C) ​   45W 
D) ​   25W 
E) ​   35W

Question 5

Let the function   be defined by the equation   , where   and   are real numbers.Find the domain of the function   ​

Accepted Answer

A) ​domain:   
B) ​​domain:   
C) ​domain:   
D) ​domain:   
E) ​domain:   
A) ​domain:   
B) ​​domain:   
C) ​domain:   
D) ​domain:   
E) ​domain:

Question 6

Select the correct graph of the given function. ​   ​

Accepted Answer

A) ​   
B) ​   
C) ​   
D) ​   
E) ​   
A) ​   
B) ​   
C) ​   
D) ​   
E) ​

Question 7

The following is the slope of line representing daily revenue y in term of time x in day.Use the slope to interpret any change in daily revenues for a one-day increase in time. ​
The line has a slope of m = 500.
​

Accepted Answer

A) Revenues increasing 500 units/day 
B) No change in revenues 
C) Revenues decreasing 500 units/day 
D) None of the above 
A) Revenues increasing 500 units/day 
B) No change in revenues 
C) Revenues decreasing 500 units/day 
D) None of the above

Question 8

Find the slope of the line passing through the pair of points. ​
(4)1, 3.1), (-3.8, 3.1)
​

Accepted Answer

A)    m = 0.40 
B)    m = -Infinity 
C)    m = 0.80 
D)    m = 0.00 
E)    m = 20.67 
A)    m = 0.40 
B)    m = -Infinity 
C)    m = 0.80 
D)    m = 0.00 
E)    m = 20.67

Question 9

List the coefficients of the variable terms in the expression:

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 10

Use the graph of   to write an equation for the function whose graph is shown. ​
​   ​

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 11

Select the graph of the function, and use the Horizontal Line Test to determine whether the function is one-to-one and so has an inverse function. ​   ​
​

Accepted Answer

A) ​   The function does not have inverse. 
B) ​   The function does not have inverse. 
C) ​   The function does not have inverse. 
D) ​   The function does not have inverse. 
E) ​   The function does not have inverse. 
A) ​   The function does not have inverse. 
B) ​   The function does not have inverse. 
C) ​   The function does not have inverse. 
D) ​   The function does not have inverse. 
E) ​   The function does not have inverse.

Question 12

Write the number in decimal notation. One bushel equals approximately 3.524 × 101 liters.

Accepted Answer

A) 35.24 
B) 3524 
C) 352.4 
D) -35.24 
E) 3.524 
A) 35.24 
B) 3524 
C) 352.4 
D) -35.24 
E) 3.524

Question 13

Use the intercept form to find the equation of the line with the given intercepts.The intercept form of the equation of a line with intercepts (a, 0) and (0, b) is   ​​ Point on line: (4, 6)
X-intercept: (c, 0)
Y-intercept: (0, c), c ≠ 0
​
​

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 14

The number of people playing tennis T (in millions) in the United States from 2000 through 2007 can be approximated by the function ​   ​
And the U.S.population P (in millions) from 2000 through 2007 can be approximated by the function   , where t represents the year, with t = 0 corresponding to 2000.
Find   .
​

Accepted Answer

A)    ​ 
B)    ​ 
C)    
D)    ​ 
E)    
A)    ​ 
B)    ​ 
C)    
D)    ​ 
E)

Question 15

Use absolute value notation to describe the situation. The elevation at the bottom of a mountain is 398 feet above sea level.The elevation at the top of the mountain is 4672 feet above sea level.What is the height of the mountain?

Accepted Answer

A) |398| + |4672| 
B) |398| - |4672| 
C) -|398| - |4672| 
D) |398 + 4672| 
E) |398 - 4672| 
A) |398| + |4672| 
B) |398| - |4672| 
C) -|398| - |4672| 
D) |398 + 4672| 
E) |398 - 4672|

Question 16

Complete the following statement using the appropriate symbol. ​   ____   ​

Accepted Answer

A) > B) = C) < D) ≤ E) ≥ A) > B) = C) < D) ≤ E) ≥

Question 17

Find any x- or y-intercepts for the graph of the equation   . ​

Accepted Answer

A) x-intercepts: (0, 12) y-intercepts: (2, 0), (6, 0) 
B) x-intercepts: (-2, 0), (-6, 0) y-intercepts: (0, 12) 
C) x-intercepts: (2, 0), (6, 0) y-intercepts: none 
D) x-intercepts: (0, 2), (0, 6) y-intercepts: (12, 0) 
E) x-intercepts: (2, 0), (6, 0) y-intercepts: (0, 12) 
A) x-intercepts: (0, 12) y-intercepts: (2, 0), (6, 0) 
B) x-intercepts: (-2, 0), (-6, 0) y-intercepts: (0, 12) 
C) x-intercepts: (2, 0), (6, 0) y-intercepts: none 
D) x-intercepts: (0, 2), (0, 6) y-intercepts: (12, 0) 
E) x-intercepts: (2, 0), (6, 0) y-intercepts: (0, 12)

Question 18

A sub shop purchases a used pizza oven for $885.After 5 years, the oven will have to be replaced.Select the linear equation giving the value V of the equipment during the 5 years it will be in use. ​

Accepted Answer

A)    
B)    
C)    
D)    
E)    ​ 
A)    
B)    
C)    
D)    
E)    ​

Question 19

Show algebraically that f and g are inverse functions.   , x ≥ 8 g(x) = x2 + 8, x ≥ 0

Accepted Answer

Question 20

You purchase an all-terrain vehicle (ATV) for $2,000.The depreciated value y after t years is given by y = 2,000 - 500t​, 0 ≤ t ≤ 6.Sketch the graph of the equation.
​

Accepted Answer

A) ​   
B) ​   ​ 
C) ​   
D) ​   
E) ​   
A) ​   
B) ​   ​ 
C) ​   
D) ​   
E) ​

Use a graphing utility to graph the function and find the zeroes of the function.

Find the inverse of the one-to-one function. Y = 3x

Identify the parent function and the transformation shown in the graph.Write an equation for the function shown in the graph.

Let the function be defined by the equation , where and are real numbers.Find the domain of the function

Select the correct graph of the given function.

The following is the slope of line representing daily revenue y in term of time x in day.Use the slope to interpret any change in daily revenues for a one-day increase in time. The line has a slope of m = 500.

Find the slope of the line passing through the pair of points. (4)1, 3.1), (-3.8, 3.1)

List the coefficients of the variable terms in the expression:

Use the graph of to write an equation for the function whose graph is shown.

Select the graph of the function, and use the Horizontal Line Test to determine whether the function is one-to-one and so has an inverse function.

Write the number in decimal notation. One bushel equals approximately 3.524 × 10¹ liters.

Use the intercept form to find the equation of the line with the given intercepts.The intercept form of the equation of a line with intercepts (a, 0) and (0, b) is Point on line: (4, 6) X-intercept: (c, 0) Y-intercept: (0, c), c ≠ 0

Use absolute value notation to describe the situation. The elevation at the bottom of a mountain is 398 feet above sea level.The elevation at the top of the mountain is 4672 feet above sea level.What is the height of the mountain?

Complete the following statement using the appropriate symbol. ____

Find any x- or y-intercepts for the graph of the equation .

A sub shop purchases a used pizza oven for $885.After 5 years, the oven will have to be replaced.Select the linear equation giving the value V of the equipment during the 5 years it will be in use.

Show algebraically that f and g are inverse functions. , x ≥ 8 g(x) = x² + 8, x ≥ 0

You purchase an all-terrain vehicle (ATV) for $2,000.The depreciated value y after t years is given by y = 2,000 - 500t, 0 ≤ t ≤ 6.Sketch the graph of the equation.

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Filters

Exam 7: Prerequisites

Use a graphing utility to graph the function and find the zeroes of the function. ​ ​

Find the inverse of the one-to-one function. ​ Y = 3x ​

Identify the parent function and the transformation shown in the graph.Write an equation for the function shown in the graph. ​ ​

Let the function be defined by the equation , where and are real numbers.Find the domain of the function ​

Select the correct graph of the given function. ​ ​

The following is the slope of line representing daily revenue y in term of time x in day.Use the slope to interpret any change in daily revenues for a one-day increase in time. ​ The line has a slope of m = 500. ​

Find the slope of the line passing through the pair of points. ​ (4)1, 3.1), (-3.8, 3.1) ​

List the coefficients of the variable terms in the expression:

Use the graph of to write an equation for the function whose graph is shown. ​ ​ ​

Select the graph of the function, and use the Horizontal Line Test to determine whether the function is one-to-one and so has an inverse function. ​ ​ ​

Write the number in decimal notation. One bushel equals approximately 3.524 × 101 liters.

Use the intercept form to find the equation of the line with the given intercepts.The intercept form of the equation of a line with intercepts (a, 0) and (0, b) is ​​ Point on line: (4, 6) X-intercept: (c, 0) Y-intercept: (0, c), c ≠ 0 ​ ​

Use absolute value notation to describe the situation. The elevation at the bottom of a mountain is 398 feet above sea level.The elevation at the top of the mountain is 4672 feet above sea level.What is the height of the mountain?

Complete the following statement using the appropriate symbol. ​ ____ ​

Find any x- or y-intercepts for the graph of the equation . ​

A sub shop purchases a used pizza oven for $885.After 5 years, the oven will have to be replaced.Select the linear equation giving the value V of the equipment during the 5 years it will be in use. ​

Show algebraically that f and g are inverse functions. , x ≥ 8 g(x) = x2 + 8, x ≥ 0

You purchase an all-terrain vehicle (ATV) for $2,000.The depreciated value y after t years is given by y = 2,000 - 500t​, 0 ≤ t ≤ 6.Sketch the graph of the equation. ​

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Filters

Use a graphing utility to graph the function and find the zeroes of the function.

Find the inverse of the one-to-one function. Y = 3x

Identify the parent function and the transformation shown in the graph.Write an equation for the function shown in the graph.

Let the function be defined by the equation , where and are real numbers.Find the domain of the function

Select the correct graph of the given function.

The following is the slope of line representing daily revenue y in term of time x in day.Use the slope to interpret any change in daily revenues for a one-day increase in time. The line has a slope of m = 500.

Find the slope of the line passing through the pair of points. (4)1, 3.1), (-3.8, 3.1)

Use the graph of to write an equation for the function whose graph is shown.

Select the graph of the function, and use the Horizontal Line Test to determine whether the function is one-to-one and so has an inverse function.

Write the number in decimal notation. One bushel equals approximately 3.524 × 10¹ liters.

Use the intercept form to find the equation of the line with the given intercepts.The intercept form of the equation of a line with intercepts (a, 0) and (0, b) is Point on line: (4, 6) X-intercept: (c, 0) Y-intercept: (0, c), c ≠ 0

Complete the following statement using the appropriate symbol. ____

Find any x- or y-intercepts for the graph of the equation .

A sub shop purchases a used pizza oven for $885.After 5 years, the oven will have to be replaced.Select the linear equation giving the value V of the equipment during the 5 years it will be in use.

Show algebraically that f and g are inverse functions. , x ≥ 8 g(x) = x² + 8, x ≥ 0

You purchase an all-terrain vehicle (ATV) for $2,000.The depreciated value y after t years is given by y = 2,000 - 500t, 0 ≤ t ≤ 6.Sketch the graph of the equation.