Question 1

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

Accepted Answer

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

Question 2

Determine if the function h(x) = 7|x| + 17 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

Write an equation that describes the variation. Use k as the constant of variation.
F is inversely proportional to   .

Accepted Answer

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

Question 4

Classify the following relationship as a function or not a function.{(15, 10), (-10, -20), (-20, -16), (-14, 1), (-12, -14)}

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 5

Transform the function f (x) = -2   - 12x - 18 to the form f (x) = c   + k, where c, h, and k are constants, by completing the square.

Accepted Answer

The answer of Transform the function f (x) = -2...

Question 6

Determine if the relationship x =   + 20 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 7

Transform the function f (x) = 8   - 96x + 297 to the form f (x) = c   + k, where c, h, and k are constants, by completing the square.

Accepted Answer

The answer of Transform the function f (x) = 8...

Question 8

The function f (x) =   , x > -8 is a one-to-one function. Find its inverse.

Accepted Answer

A)  y =   
B)  y = -8 
C)  y = -   
D)  y =   
A)  y =   
B)  y = -8 
C)  y = -   
D)  y =

Question 9

Find the average rate of change for the function
f (x) =   
over the range x = 3 to x = 7. Round the answer to 3 decimal places if necessary.

Accepted Answer

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

Question 10

The graph of y =   is shifted up 8 and to the left 13. Write the resulting function.

Accepted Answer

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

Question 11

Determine if the function h(x) = 7|x + 10| 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 12

Given the function G(t) =   , state the domain in interval notation.

Accepted Answer

A)  [10, ?) 
B)  (-?, 10) ? (10, ?) 
C)  (-?, ?) 
D)  (-?, -10) ? (10, ?) 
A)  [10, ?) 
B)  (-?, 10) ? (10, ?) 
C)  (-?, ?) 
D)  (-?, -10) ? (10, ?)

Question 13

Write an equation that describes the variation. 
s varies inversely with both x and the square root of q. s = 47 when x = 18 and q = 1.

Accepted Answer

The answer of Write an equation that describes the variation....

Question 14

Given the function h(t) =   , state the domain in interval notation.

Accepted Answer

A)  (-?, 8] 
B)  (8, ?) 
C)  (-?, ?) 
D)  (-?, 8) 
A)  (-?, 8] 
B)  (8, ?) 
C)  (-?, ?) 
D)  (-?, 8)

Question 15

Determine if the relationship f = {(18, 12), (2, 1), (-8, 1), (-20, -3)} 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 16

Determine if the function in the graph is even, odd, or neither:

Accepted Answer

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

Question 17

A projectile is fired straight up from an initial height of 230 feet, and its height is a function of time, h(t) = -16   + 128t + 230 where h is the height in feet and t is the time in second with t = 0 corresponding to the instant it launches. What is the height 4 seconds after launch?

Accepted Answer

The answer of A projectile is fired straight up from...

Question 18

Write an equation that describes the variation. Use k as the constant of variation.
f varies inversely with both   and   .

Accepted Answer

The answer of Write an equation that describes the variation....

Question 19

Given the functions f (x) = 3x + 6 and g(x) = -6x + 8, find (f + g)(x).

Accepted Answer

A)  -3x + 14 
B)  -3x + 2 
C)  9x + 14 
D)  -18x + 48 
A)  -3x + 14 
B)  -3x + 2 
C)  9x + 14 
D)  -18x + 48

Question 20

In physics, the inverse square law states that any physical quantity or strength is inversely proportional to the square of the distance from the source of that physical quantity. In particular, the intensity of light radiating from a point source is inversely proportional to the square of the distance from the source. Below is a table of average distances from the Sun:
 
The solar radiation on the Earth is approximately 1560 watts per square meter. How much solar radiation is there on Mercury? Round to the nearest hundred watts per square meter.

Accepted Answer

A)  605,172,413.79 watts per square meter 
B)  4034.48 watts per square meter 
C)  10,434.01 watts per square meter 
D)  0.07 watts per square meter 
A)  605,172,413.79 watts per square meter 
B)  4034.48 watts per square meter 
C)  10,434.01 watts per square meter 
D)  0.07 watts per square meter

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

Determine if the function h(x) = 7|x| + 17 is even, odd, or neither even nor odd.

Write an equation that describes the variation. Use k as the constant of variation. F is inversely proportional to .

Classify the following relationship as a function or not a function.{(15, 10), (-10, -20), (-20, -16), (-14, 1), (-12, -14)}

Transform the function f (x) = -2 - 12x - 18 to the form f (x) = c + k, where c, h, and k are constants, by completing the square.

Determine if the relationship x = + 20 is a function. If it is a function, determine if it is a one-to-one function.

Transform the function f (x) = 8 - 96x + 297 to the form f (x) = c + k, where c, h, and k are constants, by completing the square.

The function f (x) = , x > -8 is a one-to-one function. Find its inverse.

Find the average rate of change for the function f (x) = over the range x = 3 to x = 7. Round the answer to 3 decimal places if necessary.

The graph of y = is shifted up 8 and to the left 13. Write the resulting function.

Determine if the function h(x) = 7|x + 10| is even, odd, or neither even nor odd.

Given the function G(t) = , state the domain in interval notation.

Write an equation that describes the variation. s varies inversely with both x and the square root of q. s = 47 when x = 18 and q = 1.

Given the function h(t) = , state the domain in interval notation.

Determine if the relationship f = {(18, 12), (2, 1), (-8, 1), (-20, -3)} is a one-to-one function.

Determine if the function in the graph is even, odd, or neither:

A projectile is fired straight up from an initial height of 230 feet, and its height is a function of time, h(t) = -16 + 128t + 230 where h is the height in feet and t is the time in second with t = 0 corresponding to the instant it launches. What is the height 4 seconds after launch?

Write an equation that describes the variation. Use k as the constant of variation. f varies inversely with both and .

Given the functions f (x) = 3x + 6 and g(x) = -6x + 8, find (f + g)(x).

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Exam 3: Functions and Their Graphs

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

Determine if the function h(x) = 7|x| + 17 is even, odd, or neither even nor odd.

Write an equation that describes the variation. Use k as the constant of variation. F is inversely proportional to .

Classify the following relationship as a function or not a function.{(15, 10), (-10, -20), (-20, -16), (-14, 1), (-12, -14)}

Transform the function f (x) = -2 - 12x - 18 to the form f (x) = c + k, where c, h, and k are constants, by completing the square.

Determine if the relationship x = + 20 is a function. If it is a function, determine if it is a one-to-one function.

Transform the function f (x) = 8 - 96x + 297 to the form f (x) = c + k, where c, h, and k are constants, by completing the square.

The function f (x) = , x > -8 is a one-to-one function. Find its inverse.

Find the average rate of change for the function f (x) = over the range x = 3 to x = 7. Round the answer to 3 decimal places if necessary.

The graph of y = is shifted up 8 and to the left 13. Write the resulting function.

Determine if the function h(x) = 7|x + 10| is even, odd, or neither even nor odd.

Given the function G(t) = , state the domain in interval notation.

Write an equation that describes the variation. s varies inversely with both x and the square root of q. s = 47 when x = 18 and q = 1.

Given the function h(t) = , state the domain in interval notation.

Determine if the relationship f = {(18, 12), (2, 1), (-8, 1), (-20, -3)} is a one-to-one function.

Determine if the function in the graph is even, odd, or neither:

A projectile is fired straight up from an initial height of 230 feet, and its height is a function of time, h(t) = -16 + 128t + 230 where h is the height in feet and t is the time in second with t = 0 corresponding to the instant it launches. What is the height 4 seconds after launch?

Write an equation that describes the variation. Use k as the constant of variation. f varies inversely with both and .

Given the functions f (x) = 3x + 6 and g(x) = -6x + 8, find (f + g)(x).

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