Question 1

Evaluate q(4) if   . ​

Accepted Answer

A) q(4) =   
B) q(4) =   
C) q(4) =   
D) q(4) =   
E) q(4) =   
A) q(4) =   
B) q(4) =   
C) q(4) =   
D) q(4) =   
E) q(4) =   C

Question 2

Find all real value of x such that f (x) = 0.

Accepted Answer

A) x =   
B) x =   
C) x = ±   
D) x =   
E) x = ±   
A) x =   
B) x =   
C) x = ±   
D) x =   
E) x = ±   A

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) Horizontal shift of   
B) Vertical shift of   
C) Vertical shift of   
D) Horizontal shift of   
E) Vertical shift of   
A) Horizontal shift of   
B) Vertical shift of   
C) Vertical shift of   
D) Horizontal shift of   
E) Vertical shift of   A

Question 4

Find all real value of x such that f (x) = 0. f(x) = 64x2 - 36

Accepted Answer

A) ​x = ±   
B) ​x = ±   
C) ​x = -   
D) ​x =   
E) ​x = ±   
A) ​x = ±   
B) ​x = ±   
C) ​x = -   
D) ​x =   
E) ​x = ±

Question 5

For following function, select (on the same set of coordinate axes) a graph of function for   . ​   ​

Accepted Answer

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

Question 6

Use the functions given by   and g(x) = x3 to find (f º g)-1. ​

Accepted Answer

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

Question 7

Simplify the following expression. ​   ​

Accepted Answer

A) ​4y2 
B) 9y2 
C) 96y2 
D) 6y2 
E) 24y2 
A) ​4y2 
B) 9y2 
C) 96y2 
D) 6y2 
E) 24y2

Question 8

Use absolute value notation to describe the situation. ​
The distance between x and -12 is at least 5.
​

Accepted Answer

A) |x + 12| > 5 B) |x + 12| ≤ 5 C) |x + 12| = 5 D) |x + 12| < 5 E) |x + 12| ≥ 5 A) |x + 12| > 5 B) |x + 12| ≤ 5 C) |x + 12| = 5 D) |x + 12| < 5 E) |x + 12| ≥ 5

Question 9

Evaluate the function   at f(7). ​

Accepted Answer

A) f(7) = 61 
B) f(7) = 58 
C) f(7) = 57 
D) f(7) = 59 
E) f(7) = 60 
A) f(7) = 61 
B) f(7) = 58 
C) f(7) = 57 
D) f(7) = 59 
E) f(7) = 60

Question 10

Use the given graph of f to select the graph for following function. ​     ​

Accepted Answer

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

Question 11

Evaluate the function h(x) = 2[[x]] for x = -4. ​

Accepted Answer

A) ​h(x) = -8 
B) ​h(x) = -6 
C) ​​h(x) = 4 
D) ​h(x) = -4 
E) ​h(x) = -2 
A) ​h(x) = -8 
B) ​h(x) = -6 
C) ​​h(x) = 4 
D) ​h(x) = -4 
E) ​h(x) = -2

Question 12

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 13

Simplify the following expression. ​   ​

Accepted Answer

A)    (x + y)2​ 
B)    (x + y) 
C)    (x + y) 
D)    (x + y)3 
E)    (x + y)2 
A)    (x + y)2​ 
B)    (x + y) 
C)    (x + y) 
D)    (x + y)3 
E)    (x + y)2

Question 14

Evaluate f(0) if   . ​

Accepted Answer

A) f(0) = -9 
B) f(0) = 6 
C) f(0) = 9 
D) f(0) = -6 
E) f(0) = 0 
A) f(0) = -9 
B) f(0) = 6 
C) f(0) = 9 
D) f(0) = -6 
E) f(0) = 0

Question 15

Use the given graph of f to select the graph for the following function. ​
Y = f(2x)
​   ​

Accepted Answer

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

Question 16

Approximate the numbers and place the correct symbol () between them. ​   ​

Accepted Answer

A) -6.5  -3.5 
E) -6.5 ≤ -3.5 
A) -6.5  -3.5 
E) -6.5 ≤ -3.5

Question 17

Find the inverse function of f informally. ​
F(x) = 6x
​

Accepted Answer

A) f-1(x) = 6 - x 
B) f-1(x) = 6 + x 
C)    
D) f-1(x) = x - 6 
E) f(x) = 6x 
A) f-1(x) = 6 - x 
B) f-1(x) = 6 + x 
C)    
D) f-1(x) = x - 6 
E) f(x) = 6x

Question 18

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

Accepted Answer

A) 40.791 
B) 39.791 
C) 34.791 
D) 67082.039 
E) 44.791 
A) 40.791 
B) 39.791 
C) 34.791 
D) 67082.039 
E) 44.791

Question 19

Evaluate the expression. ​   ​

Accepted Answer

A) -1 
B) 9 
C) 8 
D) 1 
E) 7 
A) -1 
B) 9 
C) 8 
D) 1 
E) 7

Question 20

Find the slope of the line passing through the pair of points. ​
(14, 0), (0, -3)
​

Accepted Answer

A)    m =   
B)    m =   
C)    m =   
D)    m = -   
E)    m = -   
A)    m =   
B)    m =   
C)    m =   
D)    m = -   
E)    m = -

Evaluate q(4) if .

Find all real value of x such that f (x) = 0.

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

Find all real value of x such that f (x) = 0. f(x) = 64x² - 36

For following function, select (on the same set of coordinate axes) a graph of function for .

Use the functions given by and g(x) = x³ to find (f _º g)^-1.

Simplify the following expression.

Use absolute value notation to describe the situation. The distance between x and -12 is at least 5.

Evaluate the function at f(7).

Use the given graph of f to select the graph for following function.

Evaluate the function h(x) = 2[[x]] for x = -4.

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

Simplify the following expression.

Evaluate f(0) if .

Use the given graph of f to select the graph for the following function. Y = f(2x)

Approximate the numbers and place the correct symbol (< or >) between them.

Find the inverse function of f informally. F(x) = 6x

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

Evaluate the expression.

Find the slope of the line passing through the pair of points. (14, 0), (0, -3)

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Filters

Exam 7: Prerequisites

Evaluate q(4) if . ​

Find all real value of x such that f (x) = 0.

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

Find all real value of x such that f (x) = 0. f(x) = 64x2 - 36

For following function, select (on the same set of coordinate axes) a graph of function for . ​ ​

Use the functions given by and g(x) = x3 to find (f º g)-1. ​

Simplify the following expression. ​ ​

Use absolute value notation to describe the situation. ​ The distance between x and -12 is at least 5. ​

Evaluate the function at f(7). ​

Use the given graph of f to select the graph for following function. ​ ​

Evaluate the function h(x) = 2[[x]] for x = -4. ​

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

Simplify the following expression. ​ ​

Evaluate f(0) if . ​

Use the given graph of f to select the graph for the following function. ​ Y = f(2x) ​ ​

Approximate the numbers and place the correct symbol (< or >) between them. ​ ​

Find the inverse function of f informally. ​ F(x) = 6x ​

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

Evaluate the expression. ​ ​

Find the slope of the line passing through the pair of points. ​ (14, 0), (0, -3) ​

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Filters

Evaluate q(4) if .

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

Find all real value of x such that f (x) = 0. f(x) = 64x² - 36

For following function, select (on the same set of coordinate axes) a graph of function for .

Use the functions given by and g(x) = x³ to find (f _º g)^-1.

Simplify the following expression.

Use absolute value notation to describe the situation. The distance between x and -12 is at least 5.

Evaluate the function at f(7).

Use the given graph of f to select the graph for following function.

Evaluate the function h(x) = 2[[x]] for x = -4.

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

Simplify the following expression.

Evaluate f(0) if .

Use the given graph of f to select the graph for the following function. Y = f(2x)

Approximate the numbers and place the correct symbol (< or >) between them.

Find the inverse function of f informally. F(x) = 6x

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

Evaluate the expression.

Find the slope of the line passing through the pair of points. (14, 0), (0, -3)