Question 1

Determine if the function h(t) = |6t| is even, odd, or neither even nor odd.

Accepted Answer

The answer of Determine if the function h(t) = |6t|...

Question 2

Hooke's Law in physics states that if a spring at rest (equilibrium position ) has a weight attached to it, then the distance the spring stretches is directly proportional to the force (weight). 
F = kx
where F is the force in Newtons(N), x is the distance stretched in meters (m), and k is the spring constant (N/m).
A force of 300 N will stretch the spring 20 cm. How much force is required to stretch the spring

Accepted Answer

The answer of Hooke's Law in physics states that if...

Question 3

Given the equations f (x) = 2x + 6 and g(x) = 3x - 10, find (f ? g)(x).

Accepted Answer

A)  5x - 4 
B)  6x - 20 
C)  6x - 14 
D)  6x + 20 
A)  5x - 4 
B)  6x - 20 
C)  6x - 14 
D)  6x + 20

Question 4

For the given graph of a function f (x) draw the indicated function.
   
-2f (x - 1) + 3

Accepted Answer

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

Question 5

(a) Graph the piece-wise function. (b) State the domain and range in interval notation.

Accepted Answer

The answer of (a) Graph the piece-wise function. (b) State...

Question 6

For the given graph of a function f (x) draw the indicated function.
 
Y = f (x - 2) - 3

Accepted Answer

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

Question 7

Determine if the equation x =   is a function.

Accepted Answer

A)  a function 
B)  not a function 
C)  don't know 
A)  a function 
B)  not a function 
C)  don't know

Question 8

Determine if the function h(t) = 2   - 9 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 9

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:...

Question 10

Given the equations   ,find (f ? g)(x).

Accepted Answer

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

Question 11

Let f (x) = 2x   - 21   and find the values of x that corresponds to f (x) = 0.

Accepted Answer

A)  {3/4, -7/2, 11/4} 
B)  {-3/4, 7/2, 11/4} 
C)  {-3/4, 7/2} 
D)  {21/2, 11/4} 
A)  {3/4, -7/2, 11/4} 
B)  {-3/4, 7/2, 11/4} 
C)  {-3/4, 7/2} 
D)  {21/2, 11/4}

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

A)

B)

C)

D)

A)

B)

C)

D)

Question 13

Given the functions f (x) = and g(x) = 7 - x, find (g ? f)(x).

Accepted Answer

A)    
B)  7 -   
C)    
D)    
A)    
B)  7 -   
C)    
D)

Question 14

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

Accepted Answer

A)  a function 
B)  not a function 
C)  don't know 
A)  a function 
B)  not a function 
C)  don't know

Question 15

Given the function G(t) =   - 7t + 3, evaluate   .

Accepted Answer

A)  h + 17 
B)  h - 17 
C)  h 
D)  h - 12 
A)  h + 17 
B)  h - 17 
C)  h 
D)  h - 12

Question 16

Given the functions   find (f + g)(x).

Accepted Answer

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

Question 17

Write an equation that describes the variation. Use k as the constant of variation.
P varies inversely with the square of h.

Accepted Answer

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

Question 18

The graph of y =   is reflected about the x-axis and shifted to the left 5. Write the resulting function.

Accepted Answer

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

Question 19

The function f (x) =   + 6, x ? 1 is a one-to-one function. Verify that   + 5 is its inverse.

Accepted Answer

A)  The function is not the inverse of f (x) 
B)  The function is the inverse of f (x) 
C)  The function f (x) does not have an inverse 
A)  The function is not the inverse of f (x) 
B)  The function is the inverse of f (x) 
C)  The function f (x) does not have an inverse

Question 20

Determine if the function g(x) = 3 + x 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

Determine if the function h(t) = |6t| is even, odd, or neither even nor odd.

Given the equations f (x) = 2x + 6 and g(x) = 3x - 10, find (f ? g)(x).

For the given graph of a function f (x) draw the indicated function. -2f (x - 1) + 3

(a) Graph the piece-wise function. (b) State the domain and range in interval notation.

For the given graph of a function f (x) draw the indicated function. Y = f (x - 2) - 3

Determine if the equation x = is a function.

Determine if the function h(t) = 2 - 9 is even, odd, or neither even nor odd.

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

Given the equations ,find (f ? g)(x).

Let f (x) = 2x - 21 and find the values of x that corresponds to f (x) = 0.

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

Given the functions f (x) = and g(x) = 7 - x, find (g ? f)(x).

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

Given the function G(t) = - 7t + 3, evaluate .

Given the functions find (f + g)(x).

Write an equation that describes the variation. Use k as the constant of variation. P varies inversely with the square of h.

The graph of y = is reflected about the x-axis and shifted to the left 5. Write the resulting function.

The function f (x) = + 6, x ? 1 is a one-to-one function. Verify that + 5 is its inverse.

Determine if the function g(x) = 3 + x is even, odd, or neither even nor odd.

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Exam 3: Functions and Their Graphs

Determine if the function h(t) = |6t| is even, odd, or neither even nor odd.

Given the equations f (x) = 2x + 6 and g(x) = 3x - 10, find (f ? g)(x).

For the given graph of a function f (x) draw the indicated function. -2f (x - 1) + 3

(a) Graph the piece-wise function. (b) State the domain and range in interval notation.

For the given graph of a function f (x) draw the indicated function. Y = f (x - 2) - 3

Determine if the equation x = is a function.

Determine if the function h(t) = 2 - 9 is even, odd, or neither even nor odd.

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

Given the equations ,find (f ? g)(x).

Let f (x) = 2x - 21 and find the values of x that corresponds to f (x) = 0.

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

Given the functions f (x) = and g(x) = 7 - x, find (g ? f)(x).

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

Given the function G(t) = - 7t + 3, evaluate .

Given the functions find (f + g)(x).

Write an equation that describes the variation. Use k as the constant of variation. P varies inversely with the square of h.

The graph of y = is reflected about the x-axis and shifted to the left 5. Write the resulting function.

The function f (x) = + 6, x ? 1 is a one-to-one function. Verify that + 5 is its inverse.

Determine if the function g(x) = 3 + x is even, odd, or neither even nor odd.

Equations and Inequalities

Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Systems of Linear Equations and Inequalities

Matrices

Conics and Systems of Nonlinear Equations and Inequalities

Sequences, Series, and Probability

Filters