Question 1

Let  And  What is   ?

Accepted Answer

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

Question 2

Given the graph of f below, solve   . If there is more than one answer, enter them from least to greatest, separated by semicolons. If there are no solutions, enter "none".

Accepted Answer

The answer of Given the graph of f below, solve...

Question 3

Let  And   What   ?

Accepted Answer

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

Question 4

If   , which of the following could be true? Mark all that apply.

Accepted Answer

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

Question 5

The function  Is shown in the first figure.    Which transformation of   is shown in the second figure?

Accepted Answer

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

Question 6

Accepted Answer

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

Question 7

If  And  , what is   ?

Accepted Answer

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

Question 8

Is the quotient of two even functions odd, even, or neither?

Accepted Answer

The answer of Is the quotient of two even functions...

Question 9

Let  Be a linear function with a negative slope and  Be a different linear function with a positive slope. Describe the graph of   
.

Accepted Answer

A)  A pair of curves that approach both a horizontal and a vertical asymptote. 
B)  A parabola that opens downward. 
C)  A parabola that opens upward. 
D)  Another linear function. 
A)  A pair of curves that approach both a horizontal and a vertical asymptote. 
B)  A parabola that opens downward. 
C)  A parabola that opens upward. 
D)  Another linear function.

Question 10

Find    if   and   .

Accepted Answer

The answer of Find    if  ...

Question 11

Let f be defined by the following graph.   Describe the graph of
  .

Accepted Answer

A)  A version of the graph of f flipped about the y-axis and shifted up by 2 units. 
B)  A version of the graph of f flipped about the y-axis and shifted down by 2 units. 
C)  A version of the graph of f flipped about the x-axis and shifted down by 2 units. 
D)  A version of the graph of f flipped about the x-axis and shifted up by 2 units. 
A)  A version of the graph of f flipped about the y-axis and shifted up by 2 units. 
B)  A version of the graph of f flipped about the y-axis and shifted down by 2 units. 
C)  A version of the graph of f flipped about the x-axis and shifted down by 2 units. 
D)  A version of the graph of f flipped about the x-axis and shifted up by 2 units.

Question 12

The functions    and   are defined by the graph below. The dashed graph is   and the solid graph is      Evaluate   
.

Accepted Answer

The answer of The functions    and ...

Question 13

Let    . Does   ?

Accepted Answer

A) True 
 B)False

Question 14

Given    , solve   . Round to 3 decimal places.

Accepted Answer

The answer of Given    , solve ...

Question 15

Is the function    the inverse of the function   ?

Accepted Answer

A) True 
 B)False

Question 16

Find    for

Accepted Answer

The answer of Find    for  ...

Question 17

Let    and   . Does   ?

Accepted Answer

A) True 
 B)False

Question 18

The functions   and   are defined by the graph below. The dashed graph is   and the solid graph is   .
   Evaluate   .

Accepted Answer

The answer of The functions   and  ...

Question 19

Let    and  for positive constants a and b. Let   . If   and   , what is   ?

Accepted Answer

The answer of Let    and  for...

Question 20

Suppose  What is the range of   ?

Accepted Answer

A)  All real numbers less than or equal to 0. 
B)  All real numbers greater than or equal to 0. 
C)  All real numbers less than or equal to 7. 
D)  All real numbers greater than or equal to 7. 
A)  All real numbers less than or equal to 0. 
B)  All real numbers greater than or equal to 0. 
C)  All real numbers less than or equal to 7. 
D)  All real numbers greater than or equal to 7.

Let And What is ?

Given the graph of f below, solve . If there is more than one answer, enter them from least to greatest, separated by semicolons. If there are no solutions, enter "none".

Let And What is ?

If , which of the following could be true? Mark all that apply.

The function Is shown in the first figure. Which transformation of is shown in the second figure?

If And , what is ?

Is the quotient of two even functions odd, even, or neither?

Let Be a linear function with a negative slope and Be a different linear function with a positive slope. Describe the graph of .

Find if and .

Let f be defined by the following graph. Describe the graph of .

The functions and are defined by the graph below. The dashed graph is and the solid graph is Evaluate .

Let . Does ?

Given , solve . Round to 3 decimal places.

Is the function the inverse of the function ?

Find for

Let and . Does ?

The functions and are defined by the graph below. The dashed graph is and the solid graph is . Evaluate .

Let and for positive constants a and b. Let . If and , what is ?

Suppose What is the range of ?

Linear Functions and Change

Functions

Quadratic Functions

Exponential Functions

Logarithmic Functions

Transformations of Functions and Their Graphs

Trigonometry in Circles and Triangles

Trigonometric Functions

Trigonometric Identities and Their Applications

Polynomial and Rational Functions

Vectors and Matrices

Sequences and Series

Parametric Equations and Conic Sections

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Exam 10: Compositions, Inverses, and Combinations of Functions

Let And What is ?

Given the graph of f below, solve . If there is more than one answer, enter them from least to greatest, separated by semicolons. If there are no solutions, enter "none".

Let And What is ?

If , which of the following could be true? Mark all that apply.

The function Is shown in the first figure. Which transformation of is shown in the second figure?

If And , what is ?

Is the quotient of two even functions odd, even, or neither?

Let Be a linear function with a negative slope and Be a different linear function with a positive slope. Describe the graph of .

Find if and .

Let f be defined by the following graph. Describe the graph of .

The functions and are defined by the graph below. The dashed graph is and the solid graph is Evaluate .

Let . Does ?

Given , solve . Round to 3 decimal places.

Is the function the inverse of the function ?

Find for

Let and . Does ?

The functions and are defined by the graph below. The dashed graph is and the solid graph is . Evaluate .

Let and for positive constants a and b. Let . If and , what is ?

Suppose What is the range of ?

Linear Functions and Change

Functions

Quadratic Functions

Exponential Functions

Logarithmic Functions

Transformations of Functions and Their Graphs

Trigonometry in Circles and Triangles

Trigonometric Functions

Trigonometric Identities and Their Applications

Polynomial and Rational Functions

Vectors and Matrices

Sequences and Series

Parametric Equations and Conic Sections

Filters