Question 1

The function f(x) = x2 + 3, x $\ge$ 0 is a one-to-one function. Find its inverse.

Accepted Answer

A)  y = x + 3 
B)    
C)    
D)    
A)  y = x + 3 
B)    
C)    
D)

Question 2

Given the functions f(x) = 9x - 3 and g(x) = 3x + 2, determine f + g, f - g, fg, and 
   
.

Accepted Answer

The answer of Given the functions f(x) = 9x -...

Question 3

Given the graph of the one-to-one function

Accepted Answer

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

Question 4

Given the function f(x) = x2 - 7x - 10, evaluate   
.

Accepted Answer

A)  2x + h - 7 
B)    
C)  2x + h + 7 
D) 1 
A)  2x + h - 7 
B)    
C)  2x + h + 7 
D) 1

Question 5

Determine whether the function is a one-to-one function.

Accepted Answer

A)  a one-to-one function 
B)  not a one-to-one function 
A)  a one-to-one function 
B)  not a one-to-one function

Question 6

The cost of Internet access in a hotel is $20 for the first 10 minutes and $0.07 per minute for each additional minute. Write a function describing the cost of the service as a function of minutes used online.

Accepted Answer

The answer of The cost of Internet access in a...

Question 7

For the given graph of a function f(x) draw the indicated function.

Accepted Answer

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

Question 8

Determine if the equation x = y13 is a function.

Accepted Answer

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

Question 9

Verify that the function 
   
is the inverse of

Accepted Answer

A) True 
 B)False

Question 10

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

Accepted Answer

The answer of Use the vertical line test to determine...

Question 11

The graph of y = |x| is reflected about the x-axis and shifted up 7. Write the resulting function.

Accepted Answer

A)  y = |x| + 7 
B)  y = -|x + 7| 
C)  y = -|x| + 7 
D)  y = -|x - 7| 
A)  y = |x| + 7 
B)  y = -|x + 7| 
C)  y = -|x| + 7 
D)  y = -|x - 7|

Question 12

Verify that the function 
   
is the inverse of

Accepted Answer

A) True 
 B)False

Question 13

The graph of y = x4 is expanded by a factor of 9. Write the resulting function.

Accepted Answer

A)  y = 9x4 
B)  y = x4 - 9 
C)  y = x4 + 9 
D)    
A)  y = 9x4 
B)  y = x4 - 9 
C)  y = x4 + 9 
D)

Question 14

Determine if the equation
 
Is a function with independent variable x and dependent variable y.

Accepted Answer

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

Question 15

Determine if the function f(x) = x15 -x13 is even, odd, or neither even nor odd.

Accepted Answer

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

Question 16

The graph of
 
Is reflected about the x-axis and shifted to the right 14 and up 7. Write the resulting function.

Accepted Answer

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

Question 17

State the domain and range for the given graph of the piece-wise function.

Accepted Answer

Part A: do

Question 18

The graph of y = x4 is contracted by a factor of 3. Write the resulting function.

Accepted Answer

A)  y = 3x4 
B)  y = x4 - 3 
C)  y = x4 + 3 
D)    
A)  y = 3x4 
B)  y = x4 - 3 
C)  y = x4 + 3 
D)

Question 19

Determine if the relationship 
   
,
   
is a function. If it is, determine if it is a one-to-one function.

Accepted Answer

a one-to-o

Question 20

Graph the piece-wise defined function.

Accepted Answer

The answer of Graph the piece-wise defined function.
  ...

The function f(x) = x² + 3, x $\ge$ 0 is a one-to-one function. Find its inverse.

Given the functions f(x) = 9x - 3 and g(x) = 3x + 2, determine f + g, f - g, fg, and .

Given the graph of the one-to-one function

Given the function f(x) = x² - 7x - 10, evaluate .

Determine whether the function is a one-to-one function.

The cost of Internet access in a hotel is $20 for the first 10 minutes and $0.07 per minute for each additional minute. Write a function describing the cost of the service as a function of minutes used online.

For the given graph of a function f(x) draw the indicated function.

Determine if the equation x = y¹³ is a function.

Verify that the function is the inverse of

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

The graph of y = |x| is reflected about the x-axis and shifted up 7. Write the resulting function.

Verify that the function is the inverse of

The graph of y = x⁴ is expanded by a factor of 9. Write the resulting function.

Determine if the equation Is a function with independent variable x and dependent variable y.

Determine if the function f(x) = x¹⁵-x¹³is even, odd, or neither even nor odd.

The graph of Is reflected about the x-axis and shifted to the right 14 and up 7. Write the resulting function.

State the domain and range for the given graph of the piece-wise function.

The graph of y = x⁴is contracted by a factor of 3. Write the resulting function.

Determine if the relationship , is a function. If it is, determine if it is a one-to-one function.

Graph the piece-wise defined function.

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions of Angles

Trigonometric Functions of Real Numbers

Analytic Trigonometry

Vectors, the Complex Plane, and Polar Coordinates

Systems of Linear Equations and Inequalities

Conics, Systems of Nonlinear Equations and Inequalities, and Parametric Equations

Sequences and Series

Limits: A Preview to Calculus

Review: Equations and Inequalities

Filters

Exam 1: Functions and Their Graphs

The function f(x) = x2 + 3, x ≥\ge≥ 0 is a one-to-one function. Find its inverse.

Given the functions f(x) = 9x - 3 and g(x) = 3x + 2, determine f + g, f - g, fg, and .

Given the graph of the one-to-one function

Given the function f(x) = x2 - 7x - 10, evaluate .

Determine whether the function is a one-to-one function.

The cost of Internet access in a hotel is $20 for the first 10 minutes and $0.07 per minute for each additional minute. Write a function describing the cost of the service as a function of minutes used online.

For the given graph of a function f(x) draw the indicated function.

Determine if the equation x = y13 is a function.

Verify that the function is the inverse of

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

The graph of y = |x| is reflected about the x-axis and shifted up 7. Write the resulting function.

Verify that the function is the inverse of

The graph of y = x4 is expanded by a factor of 9. Write the resulting function.

Determine if the equation Is a function with independent variable x and dependent variable y.

Determine if the function f(x) = x15 -x13 is even, odd, or neither even nor odd.

The graph of Is reflected about the x-axis and shifted to the right 14 and up 7. Write the resulting function.

State the domain and range for the given graph of the piece-wise function.

The graph of y = x4 is contracted by a factor of 3. Write the resulting function.

Determine if the relationship , is a function. If it is, determine if it is a one-to-one function.

Graph the piece-wise defined function.

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions of Angles

Trigonometric Functions of Real Numbers

Analytic Trigonometry

Vectors, the Complex Plane, and Polar Coordinates

Systems of Linear Equations and Inequalities

Conics, Systems of Nonlinear Equations and Inequalities, and Parametric Equations

Sequences and Series

Limits: A Preview to Calculus

Review: Equations and Inequalities

Filters

The function f(x) = x² + 3, x $\ge$ 0 is a one-to-one function. Find its inverse.

Given the function f(x) = x² - 7x - 10, evaluate .

Determine if the equation x = y¹³ is a function.

The graph of y = x⁴ is expanded by a factor of 9. Write the resulting function.

Determine if the function f(x) = x¹⁵-x¹³is even, odd, or neither even nor odd.

The graph of y = x⁴is contracted by a factor of 3. Write the resulting function.