Question 1

Given the equations f(x) = 10x + 4 and g(x) = 10x - 10, find

Accepted Answer

A)  20x - 6 
B)  100x - 100 
C)  100x - 96 
D)  100x + 100

Question 2

The function

,

Is a one-to-one function. Find its inverse.

Accepted Answer

A)   
B)  y = 7 
C)   
D)

Question 3

Typical supply and demand relationships state that as the number of units for sale increases, the market price decreases. Assume that the market price, p, and the number of units for sale, x, are related by the demand equation:
  Assume that the cost, C(x), of producing x items is governed by the equation
  and the revenue, R(x), generated by selling x units is governed by
  a. Write the cost as a function of price p.
b. Write the revenue as a function of price p.
c. Write the profit as a function of price p.

Accepted Answer

The answer of Typical supply and demand relationships state that...

Question 4

Given the functions f(x) = 17 - 9x and g(x) = 4x + 3, find (f - g)(x)

Accepted Answer

A)  -13x + 14 
B)  -13x - 14 
C)  -13x + 20 
D)  13x + 20

Question 5

The function

,

Is a one-to-one function. Find its inverse.

Accepted Answer

A)   
B)  y = -5 
C)   
D)

Question 6

Classify the following relationship as a function or not a function.
{(-7, -17), (-7, 14), (-7, -12), (-7, -1)}

Accepted Answer

A)  a function 
B)  not a function 
C)  cannot be determined

Question 7

Find the average rate of change of the function from x = 0 to x = 4.
  
Round your answer to 3 decimal places if necessary.

Accepted Answer

The answer of Find the average rate of change of...

Question 8

Determine if the function h(x) = 8|x| - 8 is even, odd, or neither even nor odd.

Accepted Answer

A)  even 
B)  odd 
C)  neither even nor odd

Question 9

Determine if the relationship f = {(20, -2), (20, -14), (4, -14), (-16, -6)} is a one-to-one function.

Accepted Answer

A)  not a function 
B)  a one-to-one function 
C)  a function, but not one-to-one

Question 10

Given the equations f(x) = 
  
and g(x) = 10x - 6, find the domain of

Accepted Answer

The answer of Given the equations f(x) = 
 ...

Question 11

For the given graph of a function f(x) draw the indicated function.
  y = f(x - 3) - 1

Accepted Answer

The answer of For the given graph of a function...

Question 12

Write the function that results from shifting

To the right 8 and up 7.

Accepted Answer

A)   
B)   
C)   
D)

Question 13

The average temperature in Denver , Colorado , in the spring time is given by the function T(x) = -0.65x²+ 14.5x - 26.8 , where T is the temperature in degrees Fahrenheit and x is the time of day in military time and is restricted to 6 < x < 18 (sunrise to sunset). What is the temperature at 11 A.M.? What is the temperature at 6 P.M.?

Accepted Answer

The answer of The average temperature in Denver , Colorado...

Question 14

Use the vertical line test to determine if the graph below defines a function.

Accepted Answer

A)  not a function 
B)  a function 
C)  cannot be determined

Question 15

Graph the piecewise-defined function. State the domain and range in interval notation. Determine the intervals where the function is increasing, decreasing, or constant.

Accepted Answer

A)    
B)    
C)    
D)

Question 16

Determine if the relationship f = {(10, 1), (-15, -9), (-17, -9), (17, -4)} is a one-to-one function.

Accepted Answer

A)  not a function 
B)  a one-to-one function 
C)  a function, but not one-to-one

Question 17

Verify that the function 
  
is the inverse of

Accepted Answer

A) True 
 B)False

Question 18

Given the funtion G(t) = t2 - 3t + 5, evaluate

Accepted Answer

A)  h + 7 
B)  h - 7 
C)  h 
D) h - 5

Question 19

The graph of y = |x| + 10 is expanded by a factor of 9 and reflected about the x-axis. Write the resulting function.

Accepted Answer

The answer of The graph of y = |x| +...

Question 20

Given the graph of a one-to-one function: plot its inverse.

Accepted Answer

The answer of Given the graph of a one-to-one function:...

Exam 1: Functions and Their Graphs

Given the equations f(x) = 10x + 4 and g(x) = 10x - 10, find

The function , Is a one-to-one function. Find its inverse.

Given the functions f(x) = 17 - 9x and g(x) = 4x + 3, find (f - g) (x)

The function , Is a one-to-one function. Find its inverse.

Classify the following relationship as a function or not a function. {(-7, -17) , (-7, 14) , (-7, -12) , (-7, -1) }

Find the average rate of change of the function from x = 0 to x = 4. Round your answer to 3 decimal places if necessary.

Determine if the function h(x) = 8|x| - 8 is even, odd, or neither even nor odd.

Determine if the relationship f = {(20, -2) , (20, -14) , (4, -14) , (-16, -6) } is a one-to-one function.

Given the equations f(x) = and g(x) = 10x - 6, find the domain of

For the given graph of a function f(x) draw the indicated function. y = f(x - 3) - 1

Write the function that results from shifting To the right 8 and up 7.

Use the vertical line test to determine if the graph below defines a function.

Graph the piecewise-defined function. State the domain and range in interval notation. Determine the intervals where the function is increasing, decreasing, or constant.

Determine if the relationship f = {(10, 1) , (-15, -9) , (-17, -9) , (17, -4) } is a one-to-one function.

Verify that the function is the inverse of

Given the funtion G(t) = t² - 3t + 5, evaluate

The graph of y = |x| + 10 is expanded by a factor of 9 and reflected about the x-axis. Write the resulting function.

Given the graph of a one-to-one function: plot its inverse.