Question 1

Answer the question about the given function.
-Given the function   what is f(x)? What point is on the graph of f?

Accepted Answer

A) 13; (1, 13) 
B) 13; (13, 1) 
C) -11; (1, -11) 
D) -11; (-11, 1) 
A) 13; (1, 13) 
B) 13; (13, 1) 
C) -11; (1, -11) 
D) -11; (-11, 1)

Question 2

For the given functions f and g, find the requested function and state its domain.
-f(x)=   Find f ∙ g.

Accepted Answer

A) (f ∙ g)(x)=   
B) (f ∙ g)(x)=   
C) (f ∙ g)(x)=   
D) (f ∙ g)(x)=   
A) (f ∙ g)(x)=   
B) (f ∙ g)(x)=   
C) (f ∙ g)(x)=   
D) (f ∙ g)(x)=

Question 3

Solve the problem.
-Jacey, a commissioned salesperson, earns $420 base pay plus $49 per item sold. Express Jaceyʹs grosssalary G as a function of the number x of items sold.

Accepted Answer

A) G(x)= 49x + 420 
B) G(x)= 420x +49 
C) G(x)= 49(x + 420) 
D) G(x)= 420(x + 49) 
A) G(x)= 49x + 420 
B) G(x)= 420x +49 
C) G(x)= 49(x + 420) 
D) G(x)= 420(x + 49)

Question 4

The graph of a function f is given. Use the graph to answer the question.
-How often does the line y = 4 intersect the graph?

Accepted Answer

A) once 
B) twice 
C) three times 
D) does not intersect 
A) once 
B) twice 
C) three times 
D) does not intersect

Question 5

Solve the problem.
-Given f(x)=   find the function g.

Accepted Answer

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

Question 6

Find and simplify the difference quotient of f,   for the function.
-

Accepted Answer

A) 2x+ h + 6 
B)    
C) 2x+ h - 9 
D) 1 
A) 2x+ h + 6 
B)    
C) 2x+ h - 9 
D) 1

Question 7

Determine whether the relation represents a function. If it is a function, state the domain and range.
-{(-4, 20), (-3, 13), (0, 4), (3, 13),

Accepted Answer

A) function domain: {-4, -3, 0, 3, 5}
Range: {20, 13, 4, 29}
(5, 29)} 
B) function domain: {20, 13, 4, 29}
Range: {-4, -3, 0, 3, 5} 
C) not a function 
A) function domain: {-4, -3, 0, 3, 5}
Range: {20, 13, 4, 29}
(5, 29)} 
B) function domain: {20, 13, 4, 29}
Range: {-4, -3, 0, 3, 5} 
C) not a function

Question 8

Solve the problem.
-If a rock falls from a height of 30 meters on Earth, the height H (in meters)after x seconds is approximately   What is the height of the rock when x = 1.7 seconds? Round to the nearest hundredth, if necessary.

Accepted Answer

A) 15.84 m 
B) 44.16 m 
C) 21.67 m 
D) 16.13 m 
A) 15.84 m 
B) 44.16 m 
C) 21.67 m 
D) 16.13 m

Question 9

For the given functions f and g, find the requested function and state its domain.
-f(x)=   Find f ∙ g.

Accepted Answer

A)    all real numbers 
B)    all real numbers 
C) (   
D)    all real numbers 
A)    all real numbers 
B)    all real numbers 
C) (   
D)    all real numbers

Question 10

Determine whether the graph is that of a function. If it is, use the graph to find its domain and range, the intercepts,
if any, and any symmetry with respect to the x-axis, the y-axis, or the origin.
-

Accepted Answer

A) function domain: all real numbers
Range:  
Intercept: (0, -8)symmetry: none 
B) function domain:  
Range: all real numbers
Intercept: (-8, 0)symmetry: x-axis 
C) function domain: all real numbers
Range: all real numbers
Intercept: (0, -8)symmetry: none 
D) not a function 
A) function domain: all real numbers
Range:  
Intercept: (0, -8)symmetry: none 
B) function domain:  
Range: all real numbers
Intercept: (-8, 0)symmetry: x-axis 
C) function domain: all real numbers
Range: all real numbers
Intercept: (0, -8)symmetry: none 
D) not a function

Question 11

Find the value for the function.
-Find f(x + h)when f(x)=

Accepted Answer

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

Question 12

Answer the question about the given function.
-Given the function   what is the domain of f?

Accepted Answer

A)    
B)    
C) {x|x ≠ 5} 
D)    
A)    
B)    
C) {x|x ≠ 5} 
D)

Question 13

Match the function with the graph that best describes the situation.
-The height of an animal as a function of time.

Accepted Answer

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

Question 14

Find the value for the function.
-Find f(2x)when f(x)=   .

Accepted Answer

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

Question 15

Write the word or phrase that best completes each statement or answers the question.
Solve the problem.
-A steel can in the shape of a right circular cylinder must be designed to hold 450 cubic centimeters of juice(see figure). It can be shown that the total surface area of the can (including the ends)is given by     where r is the radius of the can in centimeters. Using the TABLE feature of a graphing utility,find the radius that minimizes the surface area (and thus the cost)of the can. Round to the nearest tenth ofa centimeter.

Accepted Answer

A) 4.2 cm 
B) 5.4 cm 
C) 3.4 cm 
D) 0 cm 
A) 4.2 cm 
B) 5.4 cm 
C) 3.4 cm 
D) 0 cm

Question 16

Determine whether the relation represents a function. If it is a function, state the domain and range.
- 
A)function domain: {Alice, Brad, Carl}
Range: {snake, cat, dog}
B)function domain: {snake, cat, dog}
Range: {Alice, Brad, Carl}

Accepted Answer

The answer of Determine whether the relation represents a function....

Question 17

Find the domain of the function.
-

Accepted Answer

A)    
B)    
C)    
D) all real numbers 
A)    
B)    
C)    
D) all real numbers

Question 18

Find and simplify the difference quotient of f,   for the function.
-f(x)= 4

Accepted Answer

A) 0 
B) 1 
C)    
D) 4 
A) 0 
B) 1 
C)    
D) 4

Question 19

Find the value for the function.
-Find f(-9)when f(x)=

Accepted Answer

A) 3 
B) -15 
C) 15 
D) -3 
A) 3 
B) -15 
C) 15 
D) -3

Question 20

Solve the problem.
-It has been determined that the number of fish f(t)that can be caught in t minutes in a certain pond using acertain bait is   Find the approximate number of fish that can be caught if you fishfor 30 minutes.

Accepted Answer

A) About 9 fish 
B) About 20 fish 
C) About 32 fish 
D) About 34 fish 
A) About 9 fish 
B) About 20 fish 
C) About 32 fish 
D) About 34 fish

Answer the question about the given function. -Given the function what is f(x)? What point is on the graph of f?

For the given functions f and g, find the requested function and state its domain. -f(x)= Find f ∙ g.

Solve the problem. -Jacey, a commissioned salesperson, earns $420 base pay plus $49 per item sold. Express Jaceyʹs grosssalary G as a function of the number x of items sold.

The graph of a function f is given. Use the graph to answer the question. -How often does the line y = 4 intersect the graph?

Solve the problem. -Given f(x)= find the function g.

Find and simplify the difference quotient of f, for the function. -

Determine whether the relation represents a function. If it is a function, state the domain and range. -{(-4, 20), (-3, 13), (0, 4), (3, 13),

Solve the problem. -If a rock falls from a height of 30 meters on Earth, the height H (in meters)after x seconds is approximately What is the height of the rock when x = 1.7 seconds? Round to the nearest hundredth, if necessary.

For the given functions f and g, find the requested function and state its domain. -f(x)= Find f ∙ g.

Determine whether the graph is that of a function. If it is, use the graph to find its domain and range, the intercepts, if any, and any symmetry with respect to the x-axis, the y-axis, or the origin. -

Find the value for the function. -Find f(x + h)when f(x)=

Answer the question about the given function. -Given the function what is the domain of f?

Match the function with the graph that best describes the situation. -The height of an animal as a function of time.

Find the value for the function. -Find f(2x)when f(x)= .

Determine whether the relation represents a function. If it is a function, state the domain and range. - A)function domain: {Alice, Brad, Carl} Range: {snake, cat, dog} B)function domain: {snake, cat, dog} Range: {Alice, Brad, Carl}

Find the domain of the function. -

Find and simplify the difference quotient of f, for the function. -f(x)= 4

Find the value for the function. -Find f(-9)when f(x)=

Solve the problem. -It has been determined that the number of fish f(t)that can be caught in t minutes in a certain pond using acertain bait is Find the approximate number of fish that can be caught if you fishfor 30 minutes.

Equations and Inequalities

Graphs

Linear and Quadratic Functions

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Analytic Geometry

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

Graphing Utilities

Filters

Exam 3: Functions and Their Graphs

Answer the question about the given function. -Given the function what is f(x)? What point is on the graph of f?

For the given functions f and g, find the requested function and state its domain. -f(x)= Find f ∙ g.

Solve the problem. -Jacey, a commissioned salesperson, earns $420 base pay plus $49 per item sold. Express Jaceyʹs grosssalary G as a function of the number x of items sold.

The graph of a function f is given. Use the graph to answer the question. -How often does the line y = 4 intersect the graph?

Solve the problem. -Given f(x)= find the function g.

Find and simplify the difference quotient of f, for the function. -

Determine whether the relation represents a function. If it is a function, state the domain and range. -{(-4, 20), (-3, 13), (0, 4), (3, 13),

Solve the problem. -If a rock falls from a height of 30 meters on Earth, the height H (in meters)after x seconds is approximately What is the height of the rock when x = 1.7 seconds? Round to the nearest hundredth, if necessary.

For the given functions f and g, find the requested function and state its domain. -f(x)= Find f ∙ g.

Determine whether the graph is that of a function. If it is, use the graph to find its domain and range, the intercepts, if any, and any symmetry with respect to the x-axis, the y-axis, or the origin. -

Find the value for the function. -Find f(x + h)when f(x)=

Answer the question about the given function. -Given the function what is the domain of f?

Match the function with the graph that best describes the situation. -The height of an animal as a function of time.

Find the value for the function. -Find f(2x)when f(x)= .

Determine whether the relation represents a function. If it is a function, state the domain and range. - A)function domain: {Alice, Brad, Carl} Range: {snake, cat, dog} B)function domain: {snake, cat, dog} Range: {Alice, Brad, Carl}

Find the domain of the function. -

Find and simplify the difference quotient of f, for the function. -f(x)= 4

Find the value for the function. -Find f(-9)when f(x)=

Solve the problem. -It has been determined that the number of fish f(t)that can be caught in t minutes in a certain pond using acertain bait is Find the approximate number of fish that can be caught if you fishfor 30 minutes.

Equations and Inequalities

Graphs

Linear and Quadratic Functions

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Analytic Geometry

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

Graphing Utilities

Filters