Question 1

Determine whether the equation defines y as a function of x.
-$$y = | x |$$

Accepted Answer

A)  function 
B)  not a function 
A)  function 
B)  not a function

Question 2

Find the value for the function.
-Find -f(x) when f(x) = -2x2 - 5x + 2.

Accepted Answer

A)  $2 x ^ { 2 } + 5 x + 2$ 
B)  $- 2 x ^ { 2 } + 5 x + 2$ 
C)  $- 2 x ^ { 2 } + 5 x - 2$ 
D)  $2 x ^ { 2 } + 5 x - 2$ 
A)  $2 x ^ { 2 } + 5 x + 2$ 
B)  $- 2 x ^ { 2 } + 5 x + 2$ 
C)  $- 2 x ^ { 2 } + 5 x - 2$ 
D)  $2 x ^ { 2 } + 5 x - 2$

Question 3

Solve the problem.
-A rectangle that is x feet wide is inscribed in a circle of radius 16 feet. Express the area of the rectangle as a function of x.

Accepted Answer

A)  $A ( x ) = x \sqrt { 768 - x }$ 
B)  $A ( x ) = x ^ { 2 } \sqrt { 512 - x ^ { 2 } }$ 
C)  $\mathrm { A } ( \mathrm { x } ) = \sqrt { 1024 - \mathrm { x } ^ { 2 } }$ 
D)  $\mathrm { A } ( \mathrm { x } ) = \mathrm { x } \left( 1024 - \mathrm { x } ^ { 2 } \right)$ 
A)  $A ( x ) = x \sqrt { 768 - x }$ 
B)  $A ( x ) = x ^ { 2 } \sqrt { 512 - x ^ { 2 } }$ 
C)  $\mathrm { A } ( \mathrm { x } ) = \sqrt { 1024 - \mathrm { x } ^ { 2 } }$ 
D)  $\mathrm { A } ( \mathrm { x } ) = \mathrm { x } \left( 1024 - \mathrm { x } ^ { 2 } \right)$

Question 4

Determine algebraically whether the function is even, odd, or neither.
-$$f ( x ) = \frac { x } { x ^ { 2 } - 5 }$$

Accepted Answer

A)  even 
B)  odd 
C)  neither 
A)  even 
B)  odd 
C)  neither

Question 5

The graph of a function f is given. Use the graph to answer the question.
-How often does the line y = 5 intersect the graph?

Accepted Answer

A)  once 
B)  twice 
C)  three times 
D)  does not intersect 
A)  once 
B)  twice 
C)  three times 
D)  does not intersect

Question 6

Find the average rate of change for the function between the given values.
-f(x) = 2x - 6; from 1 to 3

Accepted Answer

A)  -2 
B)  -6 
C)  6 
D)  2 
A)  -2 
B)  -6 
C)  6 
D)  2

Question 7

Based on the graph, find the range of y = f(x).
-$f ( x ) = \left\{ \begin{array} { l l } 
4 & \text { if } - 5 \leq x < - 2 \
| x | & \text { if } - 2 \leq x < 7 \
\sqrt [ 3 ] { x } & \text { if } 7 \leq x \leq 14
\end{array} \right.$

Accepted Answer

A)  $[ 0 , \infty )$ 
B)  $[ 0,7 ]$ 
C)  $[ 0 , \sqrt [ 3 ] { 14 } ]$ 
D)  $[ 0,7 )$ 
A)  $[ 0 , \infty )$ 
B)  $[ 0,7 ]$ 
C)  $[ 0 , \sqrt [ 3 ] { 14 } ]$ 
D)  $[ 0,7 )$

Question 8

Graph the function.
-$f ( x ) = \left\{ \begin{array} { l l } 
1 & \text { if } - 3 \leq x < 7 \
| x | & \text { if } 7 \leq x < 9 \
3 \sqrt { x } & \text { if } 9 \leq x \leq 11
\end{array} \right.$

Accepted Answer

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

Question 9

The graph of a function is given. Determine whether the function is increasing, decreasing, or constant on the given
interval.
-(-2, 0)

Accepted Answer

A)  constant 
B)  decreasing 
C)  increasing 
A)  constant 
B)  decreasing 
C)  increasing

Question 10

Determine whether the equation defines y as a function of x.
-$$x + 8 y = 4$$

Accepted Answer

A)  function 
B)  not a function 
A)  function 
B)  not a function

Question 11

Solve the problem.
-$$( x ) = \frac { x - B } { x - A } , f ( - 1 ) = 0 \text {, and } f ( - 3 )$$

Accepted Answer

A)  A = 1, B = 3 
B)  A = 3, B = 1 
C)  A = -3, B = -1 
D)  A = -1, B = -3 
A)  A = 1, B = 3 
B)  A = 3, B = 1 
C)  A = -3, B = -1 
D)  A = -1, B = -3

Question 12

Find the value for the function.
-Find f( $( x - 1 ) \text { when } f ( x ) = 2 x ^ { 2 } - 2 x + 2$

Accepted Answer

A)  $2 x ^ { 2 } + 2 x + 2$ 
B)  $2 x ^ { 2 } - 6 x + 2$ 
C)  $- 6 x ^ { 2 } + 2 x + 6$ 
D)  $2 x ^ { 2 } - 6 x + 6$ 
A)  $2 x ^ { 2 } + 2 x + 2$ 
B)  $2 x ^ { 2 } - 6 x + 2$ 
C)  $- 6 x ^ { 2 } + 2 x + 6$ 
D)  $2 x ^ { 2 } - 6 x + 6$

Question 13

Use the graph to find the intervals on which it is increasing, decreasing, or constant.
-

Accepted Answer

A)  Decreasing on $\left( - \pi , - \frac { \pi } { 2 } \right)$ and $\left( \frac { \pi } { 2 } , \pi \right)$; increasing on $\left( - \frac { \pi } { 2 } , \frac { \pi } { 2 } \right)$ 
B)  Increasing on $\left( - \pi , - \frac { \pi } { 2 } \right)$ and $\left( \frac { \pi } { 2 } , \pi \right) ;$ decreasing on $\left( - \frac { \pi } { 2 } , \frac { \pi } { 2 } \right)$ 
C)  Increasing on $( - \infty , \infty )$ 
D)  Decreasing on $( - \pi , 0 )$; increasing on $( 0 , \pi )$ 
A)  Decreasing on $\left( - \pi , - \frac { \pi } { 2 } \right)$ and $\left( \frac { \pi } { 2 } , \pi \right)$; increasing on $\left( - \frac { \pi } { 2 } , \frac { \pi } { 2 } \right)$ 
B)  Increasing on $\left( - \pi , - \frac { \pi } { 2 } \right)$ and $\left( \frac { \pi } { 2 } , \pi \right) ;$ decreasing on $\left( - \frac { \pi } { 2 } , \frac { \pi } { 2 } \right)$ 
C)  Increasing on $( - \infty , \infty )$ 
D)  Decreasing on $( - \pi , 0 )$; increasing on $( 0 , \pi )$

Question 14

Solve the problem.
-The price $p$ and $x$, the quantity of a certain product sold, obey the demand equation
$p = - \frac { 1 } { 10 } x + 100 , \{ x \mid 0 \leq x \leq 1000 \}$ 
a) Express the revenue R as a function of x.
b) What is the revenue if 450 units are sold?
c) Graph the revenue function using a graphing utility.
d) What quantity x maximizes revenue? What is the maximum revenue?
e) What price should the company charge to maximize revenue?

Accepted Answer

a.@#LAT-DLM& 
b. R(450) = $24,

Question 15

Determine algebraically whether the function is even, odd, or neither.
-$$f ( x ) = - 4 x ^ { 3 }$$

Accepted Answer

A)  even 
B)  odd 
C)  neither 
A)  even 
B)  odd 
C)  neither

Question 16

Graph the function.
-

Accepted Answer

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

Question 17

The graph of a function is given. Decide whether it is even, odd, or neither.
-

Accepted Answer

A)  even 
B)  odd 
C)  neither 
A)  even 
B)  odd 
C)  neither

Question 18

For the given functions f and g, find the requested function and state its domain.
-$\begin{array} { l } 
f ( x ) = x + 6 ; g ( x ) = 3 x ^ { 2 } \  { Find } f + g
\end{array}$

Accepted Answer

A)  $( f + g ) ( x ) = - 3 x ^ { 2 } + x + 6$; all real numbers 
B)  $( f + g ) ( x ) = 3 x ^ { 2 } - x - 6 ;$ all real numbers 
C)  $( f + g ) ( x ) = 3 x ^ { 2 } + x + 6 ; \{ x \mid x \neq - 6 \}$ 
D)  $( f + g ) ( x ) = 3 x ^ { 2 } + x + 6$; all real numbers 
A)  $( f + g ) ( x ) = - 3 x ^ { 2 } + x + 6$; all real numbers 
B)  $( f + g ) ( x ) = 3 x ^ { 2 } - x - 6 ;$ all real numbers 
C)  $( f + g ) ( x ) = 3 x ^ { 2 } + x + 6 ; \{ x \mid x \neq - 6 \}$ 
D)  $( f + g ) ( x ) = 3 x ^ { 2 } + x + 6$; all real numbers

Question 19

Graph the function by starting with the graph of the basic function and then using the techniques of shifting,
compressing, stretching, and/or reflecting.
-$f ( x ) = - 2 ( x + 1 ) ^ { 2 } - 2$

Accepted Answer

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

Question 20

Match the graph to the function listed whose graph most resembles the one given.
-

Accepted Answer

A)  linear function 
B)  constant function 
C)  reciprocal function 
D)  absolute value function 
A)  linear function 
B)  constant function 
C)  reciprocal function 
D)  absolute value function

Determine whether the equation defines y as a function of x. - $y = | x |$

Find the value for the function. -Find -f(x) when f(x) = -2x² - 5x + 2.

Solve the problem. -A rectangle that is x feet wide is inscribed in a circle of radius 16 feet. Express the area of the rectangle as a function of x.

Determine algebraically whether the function is even, odd, or neither. - $f ( x ) = \frac { x } { x ^ { 2 } - 5 }$

The graph of a function f is given. Use the graph to answer the question. -How often does the line y = 5 intersect the graph?

Find the average rate of change for the function between the given values. -f(x) = 2x - 6; from 1 to 3

The graph of a function is given. Determine whether the function is increasing, decreasing, or constant on the given interval. -(-2, 0)

Determine whether the equation defines y as a function of x. - $x + 8 y = 4$

Solve the problem. - $( x ) = \frac { x - B } { x - A } , f ( - 1 ) = 0 \text {, and } f ( - 3 )$

Find the value for the function. -Find f( $( x - 1 ) \text { when } f ( x ) = 2 x ^ { 2 } - 2 x + 2$

Use the graph to find the intervals on which it is increasing, decreasing, or constant. -

Determine algebraically whether the function is even, odd, or neither. - $f ( x ) = - 4 x ^ { 3 }$

Graph the function. -

The graph of a function is given. Decide whether it is even, odd, or neither. -

For the given functions f and g, find the requested function and state its domain. - f(x)=x+6;g(x)=3 Find f+g

Match the graph to the function listed whose graph most resembles the one given. -

Linear and Quadratic Functions

Polynomial and Rational Functions

Conics

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

Filters

Exam 1: Functions and Their Graphs

Determine whether the equation defines y as a function of x. - y=∣x∣y = | x |y=∣x∣

Find the value for the function. -Find -f(x) when f(x) = -2x2 - 5x + 2.

Solve the problem. -A rectangle that is x feet wide is inscribed in a circle of radius 16 feet. Express the area of the rectangle as a function of x.

Determine algebraically whether the function is even, odd, or neither. - f(x)=xx2−5f ( x ) = \frac { x } { x ^ { 2 } - 5 }f(x)=x2−5x​

The graph of a function f is given. Use the graph to answer the question. -How often does the line y = 5 intersect the graph?

Find the average rate of change for the function between the given values. -f(x) = 2x - 6; from 1 to 3

The graph of a function is given. Determine whether the function is increasing, decreasing, or constant on the given interval. -(-2, 0)

Determine whether the equation defines y as a function of x. - x+8y=4x + 8 y = 4x+8y=4

Solve the problem. - (x)=x−Bx−A,f(−1)=0, and f(−3)( x ) = \frac { x - B } { x - A } , f ( - 1 ) = 0 \text {, and } f ( - 3 )(x)=x−Ax−B​,f(−1)=0, and f(−3)

Find the value for the function. -Find f( (x−1) when f(x)=2x2−2x+2( x - 1 ) \text { when } f ( x ) = 2 x ^ { 2 } - 2 x + 2(x−1) when f(x)=2x2−2x+2

Use the graph to find the intervals on which it is increasing, decreasing, or constant. -

Determine algebraically whether the function is even, odd, or neither. - f(x)=−4x3f ( x ) = - 4 x ^ { 3 }f(x)=−4x3

Graph the function. -

The graph of a function is given. Decide whether it is even, odd, or neither. -

For the given functions f and g, find the requested function and state its domain. - f(x)=x+6;g(x)=3 Find f+g

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. - f(x)=−2(x+1)2−2f ( x ) = - 2 ( x + 1 ) ^ { 2 } - 2f(x)=−2(x+1)2−2

Match the graph to the function listed whose graph most resembles the one given. -

Linear and Quadratic Functions

Polynomial and Rational Functions

Conics

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

Filters

Determine whether the equation defines y as a function of x. - $y = | x |$

Find the value for the function. -Find -f(x) when f(x) = -2x² - 5x + 2.

Determine algebraically whether the function is even, odd, or neither. - $f ( x ) = \frac { x } { x ^ { 2 } - 5 }$

Determine whether the equation defines y as a function of x. - $x + 8 y = 4$

Solve the problem. - $( x ) = \frac { x - B } { x - A } , f ( - 1 ) = 0 \text {, and } f ( - 3 )$

Find the value for the function. -Find f( $( x - 1 ) \text { when } f ( x ) = 2 x ^ { 2 } - 2 x + 2$

Determine algebraically whether the function is even, odd, or neither. - $f ( x ) = - 4 x ^ { 3 }$