Question 1

Does the function have an inverse function? ​   ​

Accepted Answer

A) No 
B) Yes 
A) No 
B) Yes

Question 2

Solve the following equation. ​   ​

Accepted Answer

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

Question 3

Find the average rate of change of the function from x1 = 1 to x2 = 5. ​   ​

Accepted Answer

A) The average rate of change from x1 = 1 to x2 = 5 is 24. 
B) The average rate of change from x1 = 1 to x2 = 5 is -4. 
C) The average rate of change from x1 = 1 to x2 = 5 is -24. 
D) The average rate of change from x1 = 1 to x2 = 5 is -18. 
E) The average rate of change from x1 = 1 to x2 = 5 is 4. 
A) The average rate of change from x1 = 1 to x2 = 5 is 24. 
B) The average rate of change from x1 = 1 to x2 = 5 is -4. 
C) The average rate of change from x1 = 1 to x2 = 5 is -24. 
D) The average rate of change from x1 = 1 to x2 = 5 is -18. 
E) The average rate of change from x1 = 1 to x2 = 5 is 4.

Question 4

The period T (in seconds) of a pendulum is   , where L is the length of the pendulum (in feet).Find the period of a pendulum whose length is 10.0000 feet. ​

Accepted Answer

A) 1.010 sec 
B) 3.511 sec 
C) 5.511 sec 
D) 4.511sec 
E) 4.011 sec 
A) 1.010 sec 
B) 3.511 sec 
C) 5.511 sec 
D) 4.511sec 
E) 4.011 sec

Question 5

Write the exponential expression below in simplest form. ​

Accepted Answer

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

Question 6

Use a calculator to approximate the number.(Round your answer to three decimal places.)   ​

Accepted Answer

A) -1.666 
B) 5.474 
C) -5.474 
D) 0.789 
E) 5.605 
A) -1.666 
B) 5.474 
C) -5.474 
D) 0.789 
E) 5.605

Question 7

Determine which numbers in the set are rational numbers. -8.3535..., -14,   ,   ,   , 6.020020002...,

Accepted Answer

A) -8.3535..., -14,   ,   
B) -8.3535..., -14,   , 6.020020002... 
C) -8.3535..., -14,   ,   
D) -14,   ,   ,   
E) -8.3535..., -14,   , 6.020020002...,   
A) -8.3535..., -14,   ,   
B) -8.3535..., -14,   , 6.020020002... 
C) -8.3535..., -14,   ,   
D) -14,   ,   ,   
E) -8.3535..., -14,   , 6.020020002...,

Question 8

Evaluate the expression. ​
-7|-7|
​

Accepted Answer

A) -16 
B) 42 
C) -21 
D) 45 
E) -49 
A) -16 
B) 42 
C) -21 
D) 45 
E) -49

Question 9

Select the correct graph of the given function. ​   ​

Accepted Answer

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

Question 10

Select the graph of the given function and determine the interval(s) for which f(x) ≥ 0. ​   ​

Accepted Answer

A) ​   ​
F(x) > 6 for all x. 
B) ​   ​
F(x)  0 for all x. 
A) ​   ​
F(x) > 6 for all x. 
B) ​   ​
F(x)  0 for all x.

Question 11

Evaluate the expression for the given value of x. x4 x = 3

Accepted Answer

A) 12 
B)    
C)    
D) 81 
E) -81 
A) 12 
B)    
C)    
D) 81 
E) -81

Question 12

Fill in the missing form of the expression. ​
Radical Form Rational Exponent Form
------   ​

Accepted Answer

A)    ​ 
B) 83 
C)    ​ 
D)    ​ 
E)    
A)    ​ 
B) 83 
C)    ​ 
D)    ​ 
E)

Question 13

Use the functions given by f(x) = x + 6 and g(x) = 7x - 3 to find g-1 º f-1. ​

Accepted Answer

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

Question 14

Select the correct graph for the given function. ​   ​

Accepted Answer

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

Question 15

Write the height h of the rectangle as a function of x.

Accepted Answer

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

Question 16

Evaluate the expression without using a calculator. 128(-1/7)

Accepted Answer

A) -2 
B) 128 
C) -128 
D)    
E)    
A) -2 
B) 128 
C) -128 
D)    
E)

Question 17

Select the correct graph of the given function. ​   ​

Accepted Answer

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

Question 18

Determine whether the lines are parallel, perpendicular, or neither. ​
L1: y =   x - 4
L2: y = -   x - 2
​

Accepted Answer

A) Parallel 
B) Perpendicular 
C) Neither 
A) Parallel 
B) Perpendicular 
C) Neither

Question 19

Select the correct graph of the given function. ​   ​

Accepted Answer

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

Question 20

Use inequality notation to describe the set. r is positive

Accepted Answer

A) r > 0 B) r ≥ 0 C) r ≤ 0 D) r < ∞ E) r ≤ ∞ A) r > 0 B) r ≥ 0 C) r ≤ 0 D) r < ∞ E) r ≤ ∞

Does the function have an inverse function?

Solve the following equation.

Find the average rate of change of the function from x₁ = 1 to x₂ = 5.

The period T (in seconds) of a pendulum is , where L is the length of the pendulum (in feet).Find the period of a pendulum whose length is 10.0000 feet.

Write the exponential expression below in simplest form.

Use a calculator to approximate the number.(Round your answer to three decimal places.)

Determine which numbers in the set are rational numbers. -8.3535..., -14, , , , 6.020020002...,

Evaluate the expression. -7|-7|

Select the correct graph of the given function.

Select the graph of the given function and determine the interval(s) for which f(x) ≥ 0.

Evaluate the expression for the given value of x. x⁴ x = 3

Fill in the missing form of the expression. Radical Form Rational Exponent Form ------

Use the functions given by f(x) = x + 6 and g(x) = 7x - 3 to find g^-1 _º f^-1.

Select the correct graph for the given function.

Write the height h of the rectangle as a function of x.

Evaluate the expression without using a calculator. 128^(-1/7)

Select the correct graph of the given function.

Determine whether the lines are parallel, perpendicular, or neither. L1: y = x - 4 L2: y = - x - 2

Select the correct graph of the given function.

Use inequality notation to describe the set. r is positive

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Filters

Exam 7: Prerequisites

Does the function have an inverse function? ​ ​

Solve the following equation. ​ ​

Find the average rate of change of the function from x1 = 1 to x2 = 5. ​ ​

The period T (in seconds) of a pendulum is , where L is the length of the pendulum (in feet).Find the period of a pendulum whose length is 10.0000 feet. ​

Write the exponential expression below in simplest form. ​

Use a calculator to approximate the number.(Round your answer to three decimal places.) ​

Determine which numbers in the set are rational numbers. -8.3535..., -14, , , , 6.020020002...,

Evaluate the expression. ​ -7|-7| ​

Select the correct graph of the given function. ​ ​

Select the graph of the given function and determine the interval(s) for which f(x) ≥ 0. ​ ​

Evaluate the expression for the given value of x. x4 x = 3

Fill in the missing form of the expression. ​ Radical Form Rational Exponent Form ------ ​

Use the functions given by f(x) = x + 6 and g(x) = 7x - 3 to find g-1 º f-1. ​

Select the correct graph for the given function. ​ ​

Write the height h of the rectangle as a function of x.

Evaluate the expression without using a calculator. 128(-1/7)

Select the correct graph of the given function. ​ ​

Determine whether the lines are parallel, perpendicular, or neither. ​ L1: y = x - 4 L2: y = - x - 2 ​

Select the correct graph of the given function. ​ ​

Use inequality notation to describe the set. r is positive

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Filters

Does the function have an inverse function?

Solve the following equation.

Find the average rate of change of the function from x₁ = 1 to x₂ = 5.

The period T (in seconds) of a pendulum is , where L is the length of the pendulum (in feet).Find the period of a pendulum whose length is 10.0000 feet.

Write the exponential expression below in simplest form.

Use a calculator to approximate the number.(Round your answer to three decimal places.)

Evaluate the expression. -7|-7|

Select the correct graph of the given function.

Select the graph of the given function and determine the interval(s) for which f(x) ≥ 0.

Evaluate the expression for the given value of x. x⁴ x = 3

Fill in the missing form of the expression. Radical Form Rational Exponent Form ------

Use the functions given by f(x) = x + 6 and g(x) = 7x - 3 to find g^-1 _º f^-1.

Select the correct graph for the given function.

Evaluate the expression without using a calculator. 128^(-1/7)

Select the correct graph of the given function.

Determine whether the lines are parallel, perpendicular, or neither. L1: y = x - 4 L2: y = - x - 2

Select the correct graph of the given function.