Question 1

Solve the problem.
-Find (f - g)(5)when f(x)=   - 1 and g(x)= x + 7.

Accepted Answer

A) 87 
B)    
C) 101 
D) 97 
A) 87 
B)    
C) 101 
D) 97

Question 2

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:  
Range: all real numbers
Intercept: (1, 0)symmetry: none 
B) function domain:  
Range: all real numbers
Intercept: (0, 1)symmetry: origin 
C) function domain: all real numbers
Range:  
Intercept: (1, 0)symmetry: none 
D) not a function 
A) function domain:  
Range: all real numbers
Intercept: (1, 0)symmetry: none 
B) function domain:  
Range: all real numbers
Intercept: (0, 1)symmetry: origin 
C) function domain: all real numbers
Range:  
Intercept: (1, 0)symmetry: none 
D) not a function

Question 3

Find the domain of the function.
-

Accepted Answer

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

Question 4

Determine whether the equation defines y as a function of x.
-

Accepted Answer

A) function 
B) not a function 
A) function 
B) not a function

Question 5

Determine whether the equation defines y as a function of x.
-

Accepted Answer

A) function 
B) not a function 
A) function 
B) not a function

Question 6

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

Accepted Answer

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

Question 7

Match the function with the graph that best describes the situation.
-The amount of rainfall as a function of time, if the rain fell more and more softly.

Accepted Answer

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

Question 8

Answer the question about the given function.
-Given the function f(x)=   is the point (2, 2)on the graph of f?

Accepted Answer

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

Question 9

Solve the problem.
-Suppose that P(x)represents the percentage of income spent on housing in year x and I(x)representsincome in year x. Determine a function H that represents total housing expenditures in year x.

Accepted Answer

A) H(x)= (P ∙ I)(x) 
B) H(x)= (P + I)(x) 
C) H(x)= (I - P)(x) 
D)    
A) H(x)= (P ∙ I)(x) 
B) H(x)= (P + I)(x) 
C) H(x)= (I - P)(x) 
D)

Question 10

Solve the problem.
-Express the gross salary G of a person who earns $40 per hour as a function of the number x of hoursworked.

Accepted Answer

A) G(x)= 40x 
B) G(x)= 40 + x 
C)    
D)    
A) G(x)= 40x 
B) G(x)= 40 + x 
C)    
D)

Question 11

Answer the question about the given function.
-Given the function   is the point (1, 1)on the graph of f?

Accepted Answer

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

Question 12

For the given functions f and g, find the requested function and state its domain.
-f(x)= 4x - 9; g(x)= 6x - 2Find f - g.

Accepted Answer

A) (f - g)(x)= -2x - 7; all real numbers 
B)    
C)    
D) (f - g)(x)= 2x + 7; all real numbers 
A) (f - g)(x)= -2x - 7; all real numbers 
B)    
C)    
D) (f - g)(x)= 2x + 7; all real numbers

Question 13

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

Accepted Answer

A)    
B) 2 
C)    
D) 4 
A)    
B) 2 
C)    
D) 4

Question 14

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:  
Range:  
Intercepts: (-4, 0), (0, -4), (0, 4), (4, 0)symmetry: x-axis, y-axis, origin 
B) function domain:  
Range:  
Intercepts: (-4, 0), (0, -4), (0, 4), (4, 0)symmetry: x-axis, y-axis 
C) function domain:  
Range:  
Intercepts: (-4, 0), (0, -4), (0, 0), (0, 4), (4, 0)symmetry: origin 
D) not a function 
A) function domain:  
Range:  
Intercepts: (-4, 0), (0, -4), (0, 4), (4, 0)symmetry: x-axis, y-axis, origin 
B) function domain:  
Range:  
Intercepts: (-4, 0), (0, -4), (0, 4), (4, 0)symmetry: x-axis, y-axis 
C) function domain:  
Range:  
Intercepts: (-4, 0), (0, -4), (0, 0), (0, 4), (4, 0)symmetry: origin 
D) not a function

Question 15

Write the word or phrase that best completes each statement or answers the question.
Solve the problem.
-Michael decides to walk to the mall to do some errands. He leaves home, walks 2 blocks in 10 minutes at aconstant speed, and realizes that he forgot his wallet at home. So Michael runs back in 6 minutes. At home,it takes him 3 minutes to find his wallet and close the door. Michael walks 2 blocks in 10 minutes and thendecides to jog to the mall. It takes him 8 minutes to get to the mall which is 3 blocks away. Draw a graph ofMichaelʹs distance from home (in blocks)as a function of time.

Accepted Answer

The answer of Write the word or phrase that best...

Question 16

Solve the problem.
-Find (f + g)(-4)when f(x)= x - 2 and g(x)= x + 1.

Accepted Answer

A) -9 
B) -5 
C) -11 
D) -7 
A) -9 
B) -5 
C) -11 
D) -7

Question 17

Solve the problem.
-The function   gives the pressure, in atmospheres (atm), at a depth d feet in the sea. Find thepressure at 39 feet.

Accepted Answer

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

Question 18

Determine whether the equation defines y as a function of x.
-

Accepted Answer

A) function 
B) not a function 
A) function 
B) not a function

Question 19

Find the domain of the function.
-

Accepted Answer

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

Question 20

For the given functions f and g, find the requested function and state its domain.
-  Find

Accepted Answer

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

Solve the problem. -Find (f - g)(5)when f(x)= - 1 and g(x)= x + 7.

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 domain of the function. -

Determine whether the equation defines y as a function of x. -

Determine whether the equation defines y as a function of x. -

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

Match the function with the graph that best describes the situation. -The amount of rainfall as a function of time, if the rain fell more and more softly.

Answer the question about the given function. -Given the function f(x)= is the point (2, 2)on the graph of f?

Solve the problem. -Suppose that P(x)represents the percentage of income spent on housing in year x and I(x)representsincome in year x. Determine a function H that represents total housing expenditures in year x.

Solve the problem. -Express the gross salary G of a person who earns $40 per hour as a function of the number x of hoursworked.

Answer the question about the given function. -Given the function is the point (1, 1)on the graph of f?

For the given functions f and g, find the requested function and state its domain. -f(x)= 4x - 9; g(x)= 6x - 2Find f - g.

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

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. -

Solve the problem. -Find (f + g)(-4)when f(x)= x - 2 and g(x)= x + 1.

Solve the problem. -The function gives the pressure, in atmospheres (atm), at a depth d feet in the sea. Find thepressure at 39 feet.

Determine whether the equation defines y as a function of x. -

Find the domain of the function. -

For the given functions f and g, find the requested function and state its domain. - Find

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

Solve the problem. -Find (f - g)(5)when f(x)= - 1 and g(x)= x + 7.

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 domain of the function. -

Determine whether the equation defines y as a function of x. -

Determine whether the equation defines y as a function of x. -

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

Match the function with the graph that best describes the situation. -The amount of rainfall as a function of time, if the rain fell more and more softly.

Answer the question about the given function. -Given the function f(x)= is the point (2, 2)on the graph of f?

Solve the problem. -Suppose that P(x)represents the percentage of income spent on housing in year x and I(x)representsincome in year x. Determine a function H that represents total housing expenditures in year x.

Solve the problem. -Express the gross salary G of a person who earns $40 per hour as a function of the number x of hoursworked.

Answer the question about the given function. -Given the function is the point (1, 1)on the graph of f?

For the given functions f and g, find the requested function and state its domain. -f(x)= 4x - 9; g(x)= 6x - 2Find f - g.

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

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. -

Solve the problem. -Find (f + g)(-4)when f(x)= x - 2 and g(x)= x + 1.

Solve the problem. -The function gives the pressure, in atmospheres (atm), at a depth d feet in the sea. Find thepressure at 39 feet.

Determine whether the equation defines y as a function of x. -

Find the domain of the function. -

For the given functions f and g, find the requested function and state its domain. - Find

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