Question 1

Classify the following relationship as a function or not a function.
{(11, 16), (-3, 16), (3, 16), (10, 16)}

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 2

Determine if the function h(x) = 3|x -5 |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 3

Given the functions
 
, and
 
, find
 
And

Accepted Answer

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

Question 4

For the given graph of a function f(x) draw the indicated function.
   y = f(x + 4) - 4

Accepted Answer

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

Question 5

Write the function that results from shifting y = x2 + 3 to the left 2 and reflecting about the x-axis.

Accepted Answer

A)  y = -(x + 2)2 - 3 
B)  y = -(x - 2)2 - 3 
C)  y = -(x + 2)2 + 3 
D)  y = -(x - 2)2 + 3 
A)  y = -(x + 2)2 - 3 
B)  y = -(x - 2)2 - 3 
C)  y = -(x + 2)2 + 3 
D)  y = -(x - 2)2 + 3

Question 6

Transform the function f(x) = 
   
to the form f(x) = c(x - h)2 + k, where c, h, and k are constants, by completing the square.

Accepted Answer

Question 7

Determine if the relationship x = (y - 20)2 + 18 is a function. If it is a function, determine if it 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 
A)  not a function 
B)  a one-to-one function 
C)  a function, but not one-to-one

Question 8

Given the equations f(x) = 5x + 3 and g(x) = 5x - 9, find the domain of

Accepted Answer

domain = a

Question 9

Given the functions f(x) = 5x2 + 6x and g(x) = -11x2 + 11x, find (f - g)(x)

Accepted Answer

A)  16x2 + 5x 
B)  16x2 - 5x 
C)  -6x2 - 17x 
D)  -6x2 - 5x 
A)  16x2 + 5x 
B)  16x2 - 5x 
C)  -6x2 - 17x 
D)  -6x2 - 5x

Question 10

The graph of y = x2 is expanded by a factor of 4, shifted to the left 16, and up 13. Write the resulting function.

Accepted Answer

Question 11

Given the functions f(x) = 13x2 + 3 and g(x) = -9x2 - 13, find (f + g)(x)

Accepted Answer

A)  4x2 - 10 
B)  -4x2 - 10 
C)  4x2 + 10 
D)  -4x2 + 10 
A)  4x2 - 10 
B)  -4x2 - 10 
C)  4x2 + 10 
D)  -4x2 + 10

Question 12

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

The answer of Graph the piecewise-defined function. State the domain...

Question 13

Determine if the function
 
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 14

Find the average rate of change of the function from x = 3 to x = 8.
   
Round your answer to 3 decimal places if necessary.

Accepted Answer

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

Question 15

Determine if the function h(t) = |10t| is even, odd, or neither even nor odd.

Accepted Answer

The answer of Determine if the function h(t) = |10t|...

Question 16

Given the function f(x) = -1 - 5x, evaluate   
.

Accepted Answer

A)  5 
B)  -5 
C)    
D) 1 
A)  5 
B)  -5 
C)    
D) 1

Question 17

Given the functions f(x) = 2x2 - 3 and g(x) = 3 - 3x, find   
.

Accepted Answer

A)  69 
B)  -75 
C)  -18x2 - 27 
D)  285 
A)  69 
B)  -75 
C)  -18x2 - 27 
D)  285

Classify the following relationship as a function or not a function. {(11, 16), (-3, 16), (3, 16), (10, 16)}

Determine if the function h(x) = 3|x -5 |is even, odd, or neither even nor odd.

Given the functions , and , find And

For the given graph of a function f(x) draw the indicated function. y = f(x + 4) - 4

Write the function that results from shifting y = x² + 3 to the left 2 and reflecting about the x-axis.

Transform the function f(x) = to the form f(x) = c(x - h)² + k, where c, h, and k are constants, by completing the square.

Determine if the relationship x = (y - 20)² + 18 is a function. If it is a function, determine if it is a one-to-one function.

Given the equations f(x) = 5x + 3 and g(x) = 5x - 9, find the domain of

Given the functions f(x) = 5x² + 6x and g(x) = -11x² + 11x, find (f - g)(x)

The graph of y = x²is expanded by a factor of 4, shifted to the left 16, and up 13. Write the resulting function.

Given the functions f(x) = 13x² + 3 and g(x) = -9x² - 13, find (f + g)(x)

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 function Is even, odd, or neither even nor odd.

Find the average rate of change of the function from x = 3 to x = 8. Round your answer to 3 decimal places if necessary.

Determine if the function h(t) = |10t| is even, odd, or neither even nor odd.

Given the function f(x) = -1 - 5x, evaluate .

Given the functions f(x) = 2x² - 3 and g(x) = 3 - 3x, find .

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

Classify the following relationship as a function or not a function. {(11, 16), (-3, 16), (3, 16), (10, 16)}

Determine if the function h(x) = 3|x -5 |is even, odd, or neither even nor odd.

Given the functions , and , find And

For the given graph of a function f(x) draw the indicated function. y = f(x + 4) - 4

Write the function that results from shifting y = x2 + 3 to the left 2 and reflecting about the x-axis.

Transform the function f(x) = to the form f(x) = c(x - h)2 + k, where c, h, and k are constants, by completing the square.

Determine if the relationship x = (y - 20)2 + 18 is a function. If it is a function, determine if it is a one-to-one function.

Given the equations f(x) = 5x + 3 and g(x) = 5x - 9, find the domain of

Given the functions f(x) = 5x2 + 6x and g(x) = -11x2 + 11x, find (f - g)(x)

The graph of y = x2 is expanded by a factor of 4, shifted to the left 16, and up 13. Write the resulting function.

Given the functions f(x) = 13x2 + 3 and g(x) = -9x2 - 13, find (f + g)(x)

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 function Is even, odd, or neither even nor odd.

Find the average rate of change of the function from x = 3 to x = 8. Round your answer to 3 decimal places if necessary.

Determine if the function h(t) = |10t| is even, odd, or neither even nor odd.

Given the function f(x) = -1 - 5x, evaluate .

Given the functions f(x) = 2x2 - 3 and g(x) = 3 - 3x, find .

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

Write the function that results from shifting y = x² + 3 to the left 2 and reflecting about the x-axis.

Transform the function f(x) = to the form f(x) = c(x - h)² + k, where c, h, and k are constants, by completing the square.

Determine if the relationship x = (y - 20)² + 18 is a function. If it is a function, determine if it is a one-to-one function.

Given the functions f(x) = 5x² + 6x and g(x) = -11x² + 11x, find (f - g)(x)

The graph of y = x²is expanded by a factor of 4, shifted to the left 16, and up 13. Write the resulting function.

Given the functions f(x) = 13x² + 3 and g(x) = -9x² - 13, find (f + g)(x)

Given the functions f(x) = 2x² - 3 and g(x) = 3 - 3x, find .