Question 1

The slope of a line is given. Find the slope of a line perpendicular to the given line.
-$$m = \frac { 14 } { 5 }$$

Accepted Answer

A)  $\frac { 14 } { 5 }$ 
B)  $- \frac { 5 } { 14 }$ 
C)  $\frac { 5 } { 14 }$ 
D)  $- \frac { 14 } { 5 }$ 
A)  $\frac { 14 } { 5 }$ 
B)  $- \frac { 5 } { 14 }$ 
C)  $\frac { 5 } { 14 }$ 
D)  $- \frac { 14 } { 5 }$

Question 2

Determine if the lines defined by the given equations are parallel, perpendicular, or neither.
-$$\begin{array} { l } 
- 4 x - 4 y = - 1 \
- \frac { 1 } { 2 } x + \frac { 1 } { 2 } y = 3
\end{array}$$

Accepted Answer

A)  perpendicular 
B)  parallel 
C)  neither 
A)  perpendicular 
B)  parallel 
C)  neither

Question 3

The slope of a line is given.
a. Determine the slope of a line parallel to the given line, if possible.
b. Determine the slope of a line perpendicular to the given line, if possible.
-$m$ is undefined

Accepted Answer

A)  a. $m = 0$; b. $m = - 1$ 
B)  a. $m = 0$; b. $m = 1$ 
C)  a. $m = 0$; b. $m$ is undefined 
D)  a. $m$ is undefined; b. $m = 0$ 
A)  a. $m = 0$; b. $m = - 1$ 
B)  a. $m = 0$; b. $m = 1$ 
C)  a. $m = 0$; b. $m$ is undefined 
D)  a. $m$ is undefined; b. $m = 0$

Question 4

Produce a rule for the function whose graph is shown.
-

Accepted Answer

A)  $g ( x ) = \left\{ \begin{array} { l l } 1 & \text { for } x \geq 3 \ 3 & \text { for } x  3 \end{array} \right.$ 
D)  $g ( x ) = \left\{ \begin{array} { l l } 3 & \text { for } x \geq 1 \ 3 & \text { for } x < 3 \end{array} \right.$ 
A)  $g ( x ) = \left\{ \begin{array} { l l } 1 & \text { for } x \geq 3 \ 3 & \text { for } x  3 \end{array} \right.$ 
D)  $g ( x ) = \left\{ \begin{array} { l l } 3 & \text { for } x \geq 1 \ 3 & \text { for } x < 3 \end{array} \right.$

Question 5

Use the graph of y = f (x) to answer the questions.
-a. Determine the $y$-intercept
b. Find $f ( - 4 )$

Accepted Answer

A)  $y$-intercept: $( 0 , - 1 ) ; f ( - 4 ) = 2$ 
B)  $y$-intercept: $( 1,0 ) ; f ( - 4 ) = - 2$ 
C)  $y$-intercept: $( 1,0 ) ; f ( - 4 ) = 2$ 
D)  $y$-intercept: $( 0 , - 1 ) ; f ( - 4 ) = - 2$ 
A)  $y$-intercept: $( 0 , - 1 ) ; f ( - 4 ) = 2$ 
B)  $y$-intercept: $( 1,0 ) ; f ( - 4 ) = - 2$ 
C)  $y$-intercept: $( 1,0 ) ; f ( - 4 ) = 2$ 
D)  $y$-intercept: $( 0 , - 1 ) ; f ( - 4 ) = - 2$

Question 6

Write the word or phrase that best completes each statement or answers the question. Provide the missing information.
-Given a function defined by y= f (x), to find the x-intercept(s), substitute 0 for ________and solve for x.

Accepted Answer

The answer of Write the word or phrase that best...

Question 7

Write the word or phrase that best completes each statement or answers the question.
Provide the missing information.
-The graph of $y = f \left( \frac { 1 } { 3 } x \right)$ is the graph of $y = f ( x )$ with a (choose one: vertical stretch, vertical shrink, horizontal stretch, horizontal shrink).

Accepted Answer

The answer of Write the word or phrase that best...

Question 8

Choose the one alternative that best completes the statement or answers the question.
Solve the problem.
-$$\text { Is the point } ( - 3 , - 1 ) \text { on the circle defined by } ( x + 3 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 9$$

Accepted Answer

A)  No 
B)  Yes 
A)  No 
B)  Yes

Question 9

Find two functions f and g such that $h ( x ) = ( f \circ g ) ( x )$
-$$h ( x ) = \frac { 6 } { x - 6 }$$

Accepted Answer

A)  $f ( x ) = - 6$ and $g ( x ) = \frac { 6 } { x }$ 
B)  $f ( x ) = \frac { 6 } { x }$ and $g ( x ) = x - 6$ 
C)  $f ( x ) = 6$ and $g ( x ) = \frac { 1 } { x - 6 }$ 
D)  $f ( x ) = \frac { 1 } { x - 6 }$ and $g ( x ) = 6$ 
A)  $f ( x ) = - 6$ and $g ( x ) = \frac { 6 } { x }$ 
B)  $f ( x ) = \frac { 6 } { x }$ and $g ( x ) = x - 6$ 
C)  $f ( x ) = 6$ and $g ( x ) = \frac { 1 } { x - 6 }$ 
D)  $f ( x ) = \frac { 1 } { x - 6 }$ and $g ( x ) = 6$

Question 10

Determine if the function is odd, even, or neither.
-$f ( x ) = \frac { x ^ { 3 } } { | x + 5 | }$

Accepted Answer

A)  Even 
B)  Neither 
C)  Odd 
A)  Even 
B)  Neither 
C)  Odd

Question 11

Identify the center and radius of the circle.
-Identify the center and radius of the circle.
$$\left( x - \frac { 4 } { 7 } \right) ^ { 2 } + y ^ { 2 } = 12$$

Accepted Answer

A)  Center $= \left( \frac { 4 } { 7 } , 0 \right) ; r = 2 \sqrt { 3 }$ 
B)  Center $= \left( \frac { 4 } { 7 } , 0 \right) ; r = 12$ 
C)  Center $= \left( - \frac { 4 } { 7 } , 0 \right) ; r = 2 \sqrt { 3 }$ 
D)  Center $= \left( 0 , \frac { 4 } { 7 } \right) ; r = 12$ 
A)  Center $= \left( \frac { 4 } { 7 } , 0 \right) ; r = 2 \sqrt { 3 }$ 
B)  Center $= \left( \frac { 4 } { 7 } , 0 \right) ; r = 12$ 
C)  Center $= \left( - \frac { 4 } { 7 } , 0 \right) ; r = 2 \sqrt { 3 }$ 
D)  Center $= \left( 0 , \frac { 4 } { 7 } \right) ; r = 12$

Question 12

Write the word or phrase that best completes each statement or answers the question.
Provide the missing information.
-Write the formula for the slope of a line between the two distinct points ( $$\left( x _ { 1 } , y _ { 1 } \right) \text { and } \left( x _ { 2 } , y _ { 2 } \right)$$

Accepted Answer

The answer of Write the word or phrase that best...

Question 13

Find the indicated function and write its domain in interval notation.
-$$s ( x ) = \frac { x - 5 } { x ^ { 2 } - 49 } , t ( x ) = \frac { x - 7 } { 5 - x } , ( s \cdot t ) ( x ) = ?$$

Accepted Answer

A)  $- \frac { 1 } { x + 7 } ; ( - \infty , - 7 ) \cup ( 7 , \infty )$ 
B)  $\frac { 1 } { 7 - x } ; ( - \infty , - 7 ) \cup ( - 7,5 ) \cup ( 5,7 ) \cup ( 7 , \infty )$ 
C)  $\frac { 1 } { 7 - x } ; ( - \infty , 7 ) \cup ( 7 , \infty )$ 
D)  $- \frac { 1 } { x + 7 } ; ( - \infty , - 7 ) \cup ( - 7,5 ) \cup ( 5,7 ) \cup ( 7 , \infty )$ 
A)  $- \frac { 1 } { x + 7 } ; ( - \infty , - 7 ) \cup ( 7 , \infty )$ 
B)  $\frac { 1 } { 7 - x } ; ( - \infty , - 7 ) \cup ( - 7,5 ) \cup ( 5,7 ) \cup ( 7 , \infty )$ 
C)  $\frac { 1 } { 7 - x } ; ( - \infty , 7 ) \cup ( 7 , \infty )$ 
D)  $- \frac { 1 } { x + 7 } ; ( - \infty , - 7 ) \cup ( - 7,5 ) \cup ( 5,7 ) \cup ( 7 , \infty )$

Question 14

Write a function based on the given parent function and the transformations in the given order.
-Parent function: $y = x ^ { 3 }$ 
1. Shift 6.8 units to the right. 
2. Reflect across the y-axis.
3. Shift downward 5.2 units.

Accepted Answer

A)  $y = ( - x + 6.8 ) ^ { 3 } + 5.2$ 
B)  $y = - ( x + 6.8 ) ^ { 3 } + 5.2$ 
C)  $y = ( - x - 6.8 ) ^ { 3 } - 5.2$ 
D)  $y = - ( x - 6.8 ) ^ { 3 } - 5.2$ 
A)  $y = ( - x + 6.8 ) ^ { 3 } + 5.2$ 
B)  $y = - ( x + 6.8 ) ^ { 3 } + 5.2$ 
C)  $y = ( - x - 6.8 ) ^ { 3 } - 5.2$ 
D)  $y = - ( x - 6.8 ) ^ { 3 } - 5.2$

Question 15

Choose the one alternative that best completes the statement or answers the question.
-Sarita needs to drive 350 mi. After having driven x miles, the distance remaining r(x) (in mi) is given by r(x) = 350 - x. Evaluate r(250) and interpret the meaning.

Accepted Answer

A)  $r ( 250 ) = 250$; Sarita has traveled 250 miles. 
B)  $r ( 250 ) = 100$; Sarita still has 100 miles remaining. 
C)  $r ( 250 ) = 100$; Sarita has traveled 100 miles. 
D)  $r ( 250 ) = 250$; Sarita still has 250 miles remaining. 
A)  $r ( 250 ) = 250$; Sarita has traveled 250 miles. 
B)  $r ( 250 ) = 100$; Sarita still has 100 miles remaining. 
C)  $r ( 250 ) = 100$; Sarita has traveled 100 miles. 
D)  $r ( 250 ) = 250$; Sarita still has 250 miles remaining.

Question 16

Write the domain in interval notation.
-$$y ( t ) = \sqrt { 8 - t }$$

Accepted Answer

A)  $( - \infty , 8 )$ 
B)  $( - \infty , 8 ]$ 
C)  $( - \infty , \infty )$ 
D)  $[ 0,16 ]$ 
A)  $( - \infty , 8 )$ 
B)  $( - \infty , 8 ]$ 
C)  $( - \infty , \infty )$ 
D)  $[ 0,16 ]$

Question 17

Find $f ( - x )$ ) and determine whether f is odd, even, or neither.
-$$f ( x ) = 4 x ^ { 5 } - 5 x ^ { 4 }$$

Accepted Answer

A)  $f ( - x ) = - 4 x ^ { 5 } + 5 x ^ { 4 } ; f$ is odd. 
B)  $f ( - x ) = - 4 x ^ { 5 } - 5 x ^ { 4 } ; f$ is neither odd nor even. 
C)  $f ( - x ) = 4 x ^ { 5 } + 5 x ^ { 4 } ; f$ is neither odd nor even. 
D)  $f ( - x ) = - 4 x ^ { 5 } - 5 x ^ { 4 }$; $f$ is even. 
A)  $f ( - x ) = - 4 x ^ { 5 } + 5 x ^ { 4 } ; f$ is odd. 
B)  $f ( - x ) = - 4 x ^ { 5 } - 5 x ^ { 4 } ; f$ is neither odd nor even. 
C)  $f ( - x ) = 4 x ^ { 5 } + 5 x ^ { 4 } ; f$ is neither odd nor even. 
D)  $f ( - x ) = - 4 x ^ { 5 } - 5 x ^ { 4 }$; $f$ is even.

Question 18

Use the graph of y = f(x) below to graph $y = - f ( x )$
-

Accepted Answer

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

Question 19

Find the midpoint of the line segment whose endpoints are the given points.
-$( \sqrt { 7 } , - \sqrt { 3 } )$ and $( 6 \sqrt { 7 } , - 5 \sqrt { 3 } )$

Accepted Answer

A)  $\left( \frac { 5 \sqrt { 7 } } { 2 } , - 2 \sqrt { 3 } \right)$ 
B)  $\left( \frac { 7 \sqrt { 7 } } { 2 } , - 3 \sqrt { 3 } \right)$ 
C)  $( 5 \sqrt { 7 } , - 4 \sqrt { 3 } )$ 
D)  $( 7 \sqrt { 7 } , - 6 \sqrt { 3 } )$ 
A)  $\left( \frac { 5 \sqrt { 7 } } { 2 } , - 2 \sqrt { 3 } \right)$ 
B)  $\left( \frac { 7 \sqrt { 7 } } { 2 } , - 3 \sqrt { 3 } \right)$ 
C)  $( 5 \sqrt { 7 } , - 4 \sqrt { 3 } )$ 
D)  $( 7 \sqrt { 7 } , - 6 \sqrt { 3 } )$

Question 20

Use the graph to determine if the function is even, odd, or neither.
-

Accepted Answer

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

The slope of a line is given. Find the slope of a line perpendicular to the given line. - $m = \frac { 14 } { 5 }$

Determine if the lines defined by the given equations are parallel, perpendicular, or neither. - -4x-4y=-1 -x+y=3

The slope of a line is given. a. Determine the slope of a line parallel to the given line, if possible. b. Determine the slope of a line perpendicular to the given line, if possible. - $m$ is undefined

Produce a rule for the function whose graph is shown. -

Use the graph of y = f (x) to answer the questions. -a. Determine the $y$ -intercept b. Find $f ( - 4 )$

Write the word or phrase that best completes each statement or answers the question. Provide the missing information. -Given a function defined by y= f (x), to find the x-intercept(s), substitute 0 for ________and solve for x.

Write the word or phrase that best completes each statement or answers the question. Provide the missing information. -The graph of $y = f \left( \frac { 1 } { 3 } x \right)$ is the graph of $y = f ( x )$ with a (choose one: vertical stretch, vertical shrink, horizontal stretch, horizontal shrink).

Choose the one alternative that best completes the statement or answers the question. Solve the problem. - $\text { Is the point } ( - 3 , - 1 ) \text { on the circle defined by } ( x + 3 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 9$

Find two functions f and g such that $h ( x ) = ( f \circ g ) ( x )$ - $h ( x ) = \frac { 6 } { x - 6 }$

Determine if the function is odd, even, or neither. - $f ( x ) = \frac { x ^ { 3 } } { | x + 5 | }$

Identify the center and radius of the circle. -Identify the center and radius of the circle. $\left( x - \frac { 4 } { 7 } \right) ^ { 2 } + y ^ { 2 } = 12$

Write the word or phrase that best completes each statement or answers the question. Provide the missing information. -Write the formula for the slope of a line between the two distinct points ( $\left( x _ { 1 } , y _ { 1 } \right) \text { and } \left( x _ { 2 } , y _ { 2 } \right)$

Find the indicated function and write its domain in interval notation. - $s ( x ) = \frac { x - 5 } { x ^ { 2 } - 49 } , t ( x ) = \frac { x - 7 } { 5 - x } , ( s \cdot t ) ( x ) = ?$

Write a function based on the given parent function and the transformations in the given order. -Parent function: $y = x ^ { 3 }$ 1. Shift 6.8 units to the right. 2. Reflect across the y-axis. 3. Shift downward 5.2 units.

Choose the one alternative that best completes the statement or answers the question. -Sarita needs to drive 350 mi. After having driven x miles, the distance remaining r(x) (in mi) is given by r(x) = 350 - x. Evaluate r(250) and interpret the meaning.

Write the domain in interval notation. - $y ( t ) = \sqrt { 8 - t }$

Find $f ( - x )$ ) and determine whether f is odd, even, or neither. - $f ( x ) = 4 x ^ { 5 } - 5 x ^ { 4 }$

Use the graph of y = f(x) below to graph $y = - f ( x )$ -

Find the midpoint of the line segment whose endpoints are the given points. - $( \sqrt { 7 } , - \sqrt { 3 } )$ and $( 6 \sqrt { 7 } , - 5 \sqrt { 3 } )$

Use the graph to determine if the function is even, odd, or neither. -

Equations and Inequalities

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Systems of Equations and Inequalities

Matrices and Determinants and Applications

Analytic Geometry

Sequences, Series, Induction, and Probability

Review of Prerequisites

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Exam 2: Functions and Relations

The slope of a line is given. Find the slope of a line perpendicular to the given line. - m=145m = \frac { 14 } { 5 }m=514​

Determine if the lines defined by the given equations are parallel, perpendicular, or neither. - -4x-4y=-1 -x+y=3

The slope of a line is given. a. Determine the slope of a line parallel to the given line, if possible. b. Determine the slope of a line perpendicular to the given line, if possible. - mmm is undefined

Produce a rule for the function whose graph is shown. -

Use the graph of y = f (x) to answer the questions. -a. Determine the yyy -intercept b. Find f(−4)f ( - 4 )f(−4)

Write the word or phrase that best completes each statement or answers the question. Provide the missing information. -Given a function defined by y= f (x), to find the x-intercept(s), substitute 0 for ________and solve for x.

Find two functions f and g such that h(x)=(f∘g)(x)h ( x ) = ( f \circ g ) ( x )h(x)=(f∘g)(x) - h(x)=6x−6h ( x ) = \frac { 6 } { x - 6 }h(x)=x−66​

Determine if the function is odd, even, or neither. - f(x)=x3∣x+5∣f ( x ) = \frac { x ^ { 3 } } { | x + 5 | }f(x)=∣x+5∣x3​

Identify the center and radius of the circle. -Identify the center and radius of the circle. (x−47)2+y2=12\left( x - \frac { 4 } { 7 } \right) ^ { 2 } + y ^ { 2 } = 12(x−74​)2+y2=12

Find the indicated function and write its domain in interval notation. - s(x)=x−5x2−49,t(x)=x−75−x,(s⋅t)(x)=?s ( x ) = \frac { x - 5 } { x ^ { 2 } - 49 } , t ( x ) = \frac { x - 7 } { 5 - x } , ( s \cdot t ) ( x ) = ?s(x)=x2−49x−5​,t(x)=5−xx−7​,(s⋅t)(x)=?

Write a function based on the given parent function and the transformations in the given order. -Parent function: y=x3y = x ^ { 3 }y=x3 1. Shift 6.8 units to the right. 2. Reflect across the y-axis. 3. Shift downward 5.2 units.

Choose the one alternative that best completes the statement or answers the question. -Sarita needs to drive 350 mi. After having driven x miles, the distance remaining r(x) (in mi) is given by r(x) = 350 - x. Evaluate r(250) and interpret the meaning.

Write the domain in interval notation. - y(t)=8−ty ( t ) = \sqrt { 8 - t }y(t)=8−t​

Find f(−x)f ( - x )f(−x) ) and determine whether f is odd, even, or neither. - f(x)=4x5−5x4f ( x ) = 4 x ^ { 5 } - 5 x ^ { 4 }f(x)=4x5−5x4

Use the graph of y = f(x) below to graph y=−f(x)y = - f ( x )y=−f(x) -

Find the midpoint of the line segment whose endpoints are the given points. - (7,−3)( \sqrt { 7 } , - \sqrt { 3 } )(7​,−3​) and (67,−53)( 6 \sqrt { 7 } , - 5 \sqrt { 3 } )(67​,−53​)

Use the graph to determine if the function is even, odd, or neither. -

Equations and Inequalities

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Systems of Equations and Inequalities

Matrices and Determinants and Applications

Analytic Geometry

Sequences, Series, Induction, and Probability

Review of Prerequisites

Filters

The slope of a line is given. Find the slope of a line perpendicular to the given line. - $m = \frac { 14 } { 5 }$

The slope of a line is given. a. Determine the slope of a line parallel to the given line, if possible. b. Determine the slope of a line perpendicular to the given line, if possible. - $m$ is undefined

Use the graph of y = f (x) to answer the questions. -a. Determine the $y$ -intercept b. Find $f ( - 4 )$

Find two functions f and g such that $h ( x ) = ( f \circ g ) ( x )$ - $h ( x ) = \frac { 6 } { x - 6 }$

Determine if the function is odd, even, or neither. - $f ( x ) = \frac { x ^ { 3 } } { | x + 5 | }$

Identify the center and radius of the circle. -Identify the center and radius of the circle. $\left( x - \frac { 4 } { 7 } \right) ^ { 2 } + y ^ { 2 } = 12$

Find the indicated function and write its domain in interval notation. - $s ( x ) = \frac { x - 5 } { x ^ { 2 } - 49 } , t ( x ) = \frac { x - 7 } { 5 - x } , ( s \cdot t ) ( x ) = ?$

Write a function based on the given parent function and the transformations in the given order. -Parent function: $y = x ^ { 3 }$ 1. Shift 6.8 units to the right. 2. Reflect across the y-axis. 3. Shift downward 5.2 units.

Write the domain in interval notation. - $y ( t ) = \sqrt { 8 - t }$

Find $f ( - x )$ ) and determine whether f is odd, even, or neither. - $f ( x ) = 4 x ^ { 5 } - 5 x ^ { 4 }$

Use the graph of y = f(x) below to graph $y = - f ( x )$ -

Find the midpoint of the line segment whose endpoints are the given points. - $( \sqrt { 7 } , - \sqrt { 3 } )$ and $( 6 \sqrt { 7 } , - 5 \sqrt { 3 } )$