Question 1

Determine if the lines defined by the given equations are parallel, perpendicular, or neither.
-$$\begin{array} { l } 
y = \frac { 7 } { 5 } x - 2 \
y = - \frac { 7 } { 5 } x - 4
\end{array}$$

Accepted Answer

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

Question 2

Find the x- and y-intercepts.
-$$y = | x + 1 | - 5$$

Accepted Answer

A)  $x$-intercepts: $( 4,0 )$ and $( - 6,0 ) ; y$-intercept: $( 0 , - 5 )$ 
B)  $x$-intercepts: $( 4,0 )$ and $( - 6,0 ) ; y$-intercept: $( 0 , - 4 )$ 
C)  $x$-intercept: $( - 6,0 ) ; y$-intercept: $( 0 , - 5 )$ 
D)  $x$-intercept: $( 4,0 ) ; y$-intercept: $( 0 , - 4 )$ 
A)  $x$-intercepts: $( 4,0 )$ and $( - 6,0 ) ; y$-intercept: $( 0 , - 5 )$ 
B)  $x$-intercepts: $( 4,0 )$ and $( - 6,0 ) ; y$-intercept: $( 0 , - 4 )$ 
C)  $x$-intercept: $( - 6,0 ) ; y$-intercept: $( 0 , - 5 )$ 
D)  $x$-intercept: $( 4,0 ) ; y$-intercept: $( 0 , - 4 )$

Question 3

Determine if the function is odd, even, or neither.
-$f ( x ) = 3 x ^ { 4 } + 3 \left| x ^ { 3 } \right| - 3$

Accepted Answer

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

Question 4

Sketch the graph using transformations of a parent function (without a table of values).
-$$a ( x ) = x ^ { 2 } - 3$$

Accepted Answer

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

Question 5

Graph the equation with a graphing utility on the given viewing window.
-$y = 1,000 x ^ { 2 } - 1,800 x$ on $[ - 5,5,1 ]$ by $[ - 1000,2000,500 ]$

Accepted Answer

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

Question 6

Identify the center and radius of the circle.
-$$x ^ { 2 } - 10 x + y ^ { 2 } = 11$$

Accepted Answer

A)  Center: $( 10,0 ) ; \quad r = 36$ 
B)  Center: $( 0 , - 5 ) ; \quad r = 6$ 
C)  Center: $( 5,0 ) ; \quad r = 6$ 
D)  Center: $( 10,0 ) ; \quad r = \sqrt { 11 }$ 
A)  Center: $( 10,0 ) ; \quad r = 36$ 
B)  Center: $( 0 , - 5 ) ; \quad r = 6$ 
C)  Center: $( 5,0 ) ; \quad r = 6$ 
D)  Center: $( 10,0 ) ; \quad r = \sqrt { 11 }$

Question 7

Write the word or phrase that best completes each statement or answers the question.
Provide the missing information.
-$( 3 , - 3 )$ and $( - 4 , - 5 )$

Accepted Answer

A)  $y = \frac { 7 } { 2 } x - \frac { 27 } { 7 }$ 
B)  $y = - \frac { 2 } { 7 } x - \frac { 3 } { 7 }$ 
C)  $y = \frac { 2 } { 7 } x - \frac { 27 } { 7 }$ 
D)  $y = - \frac { 7 } { 2 } x - \frac { 3 } { 7 }$ 
A)  $y = \frac { 7 } { 2 } x - \frac { 27 } { 7 }$ 
B)  $y = - \frac { 2 } { 7 } x - \frac { 3 } { 7 }$ 
C)  $y = \frac { 2 } { 7 } x - \frac { 27 } { 7 }$ 
D)  $y = - \frac { 7 } { 2 } x - \frac { 3 } { 7 }$

Question 8

Use translations to graph the given function.
-$$b ( x ) = | x - 2 | + 3$$

Accepted Answer

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

Question 9

Find the x- and y-intercepts.
-$$x ^ { 2 } + y = 64$$

Accepted Answer

A)  $x$-intercept: $( 8,0 ) ; y$-intercept: $( 0,64 )$ 
B)  $x$-intercept: $( 0,64 ) ; y$-intercepts: $( - 8,0 )$ and $( 8,0 )$ 
C)  $x$-intercepts: $( - 8,0 )$ and $( 8,0 ) ; y$-intercept: $( 0,64 )$ 
D)  $x$-intercept: none; $y$-intercept: $( 0,64 )$ 
A)  $x$-intercept: $( 8,0 ) ; y$-intercept: $( 0,64 )$ 
B)  $x$-intercept: $( 0,64 ) ; y$-intercepts: $( - 8,0 )$ and $( 8,0 )$ 
C)  $x$-intercepts: $( - 8,0 )$ and $( 8,0 ) ; y$-intercept: $( 0,64 )$ 
D)  $x$-intercept: none; $y$-intercept: $( 0,64 )$

Question 10

Write an equation of the line satisfying the given conditions. Write the answer in standard form.
-The line has a slope of $- \frac { 6 } { 7 }$ and contains the point $( - 5 , - 8 )$.

Accepted Answer

A)  $y = - \frac { 6 } { 7 } x - \frac { 86 } { 7 }$ 
B)  $6 x + 7 y = - 86$ 
C)  $\frac { 6 } { 7 } x + y = \frac { 83 } { 7 }$ 
D)  $6 x + 7 y = 86$ 
A)  $y = - \frac { 6 } { 7 } x - \frac { 86 } { 7 }$ 
B)  $6 x + 7 y = - 86$ 
C)  $\frac { 6 } { 7 } x + y = \frac { 83 } { 7 }$ 
D)  $6 x + 7 y = 86$

Question 11

Find the midpoint of the line segment whose endpoints are the given points.
-(-24.6, 38.1) and (-25.7, -17.7)

Accepted Answer

A)  (0.55, 27.9) 
B)  (-25.15, 10.2) 
C)  (6.75, -21.7) 
D)  (-25.15, 27.9) 
A)  (0.55, 27.9) 
B)  (-25.15, 10.2) 
C)  (6.75, -21.7) 
D)  (-25.15, 27.9)

Question 12

Write the word or phrase that best completes each statement or answers the question.
Provide the missing information.
-$$\text { If } m _ { 1 } \text { and } m _ { 2 } \text { represent the slopes of two nonvertical perpendicular lines, then } m _ { 1 } m _ { 2 } =$$ .

Accepted Answer

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

Question 13

Use the scatter plot to determine if a linear regression model appears to be appropriate.
-

Accepted Answer

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

Question 14

Use transformations to graph the given function.
-$$f ( x ) = \sqrt { - x - 4 }$$

Accepted Answer

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

Question 15

A function g is given. Identify the parent function. Then use the steps for graphing multiple
transformations of functions to list, in order, the transformations applied to the parent function to obtain
the graph of g.
-$$g ( x ) = \frac { 4 } { x + 5 } - 3$$

Accepted Answer

A)  Parent function: $f ( x ) = \frac { 1 } { x }$; Shift the graph of $f$ to the left 5 units, stretch the graph vertically by a factor of 4 , and shift the graph downward by 3 units. 
B)  Parent function: $f ( x ) = \frac { 1 } { x }$; Shift the graph of $f$ to the right 5 units, shrink the graph vertically by a factor of $\frac { 1 } { 4 }$, and shift the graph upward by 3 units. 
C)  Parent function: $f ( x ) = \frac { 1 } { x }$; Shift the graph of $f$ to the left 5 units, shrink the graph vertically by a factor of $\frac { 1 } { 4 }$, and shift the graph downward by 3 units. 
D)  Parent function: $f ( x ) = \frac { 1 } { x }$; Shift the graph of $f$ to the right 5 units, stretch the graph vertically by a factor of 4 , and shift the graph upward by 3 units. 
A)  Parent function: $f ( x ) = \frac { 1 } { x }$; Shift the graph of $f$ to the left 5 units, stretch the graph vertically by a factor of 4 , and shift the graph downward by 3 units. 
B)  Parent function: $f ( x ) = \frac { 1 } { x }$; Shift the graph of $f$ to the right 5 units, shrink the graph vertically by a factor of $\frac { 1 } { 4 }$, and shift the graph upward by 3 units. 
C)  Parent function: $f ( x ) = \frac { 1 } { x }$; Shift the graph of $f$ to the left 5 units, shrink the graph vertically by a factor of $\frac { 1 } { 4 }$, and shift the graph downward by 3 units. 
D)  Parent function: $f ( x ) = \frac { 1 } { x }$; Shift the graph of $f$ to the right 5 units, stretch the graph vertically by a factor of 4 , and shift the graph upward by 3 units.

Question 16

Use the graph of y = f (x) to answer the questions.
-a. Determine $f ( - 1 )$
b. Find the range of $f$.

Accepted Answer

A)  $f ( - 1 ) = 1$; Range: $[ - 2 , \infty )$ 
B)  $f ( - 1 ) = - 2 ;$ Range: $[ - 2 , \infty )$ 
C)  $f ( - 1 ) = 1 ;$ Range: $\{ - 2 \} \cup [ 0 , \infty )$ 
D)  $f ( - 1 ) = - 2 ;$ Range: $\{ - 2 \} \cup [ 0 , \infty )$ 
A)  $f ( - 1 ) = 1$; Range: $[ - 2 , \infty )$ 
B)  $f ( - 1 ) = - 2 ;$ Range: $[ - 2 , \infty )$ 
C)  $f ( - 1 ) = 1 ;$ Range: $\{ - 2 \} \cup [ 0 , \infty )$ 
D)  $f ( - 1 ) = - 2 ;$ Range: $\{ - 2 \} \cup [ 0 , \infty )$

Question 17

Choose the one alternative that best completes the statement or answers the question.
-At one college, a study found that the average grade point average decreased linearlyaccording to the function $g ( h ) = 3.00 - 0.10 h$ where h is the number of hours per week spent watching reality shows on television. Compute g(5)
And interpret its meaning.

Accepted Answer

A)  g(5) = 3.50. This tells us that the average GPA of students that watch 5 hours of reality programming per week is 3.50. 
B)  g(5) = 2.50. This tells us that the average GPA of students that watch 5 hours of reality programming per week is 2.50. 
C)  g(5) = 2.50. On average, watching 5 hours of reality programming per week will decrease your GPA by 2.50. 
D)  g(5) = 3.50. On average, watching 5 hours of reality programming per week will increase your GPA by 3.50. 
A)  g(5) = 3.50. This tells us that the average GPA of students that watch 5 hours of reality programming per week is 3.50. 
B)  g(5) = 2.50. This tells us that the average GPA of students that watch 5 hours of reality programming per week is 2.50. 
C)  g(5) = 2.50. On average, watching 5 hours of reality programming per week will decrease your GPA by 2.50. 
D)  g(5) = 3.50. On average, watching 5 hours of reality programming per week will increase your GPA by 3.50.

Question 18

Write the word or phrase that best completes each statement or answers the question.
Provide the missing information.
-Let c represent a positive real number. The graph of y = f (x) + c is the graph of y = f (x) shifted
(up/down/left/right) c units.

Accepted Answer

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

Question 19

Graph the equation by plotting points.
-$$y = | x - 3 |$$

Accepted Answer

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

Question 20

Determine the slope of the line passing through the given points.
-$( - 2 , - 2 )$ and $( - 2,3 )$

Accepted Answer

A)  0 
B)  5 
C)  Undefined 
D)  1 
A)  0 
B)  5 
C)  Undefined 
D)  1

Determine if the lines defined by the given equations are parallel, perpendicular, or neither. - y=x-2 y=-x-4

Find the x- and y-intercepts. - $y = | x + 1 | - 5$

Determine if the function is odd, even, or neither. - $f ( x ) = 3 x ^ { 4 } + 3 \left| x ^ { 3 } \right| - 3$

Sketch the graph using transformations of a parent function (without a table of values). - $a ( x ) = x ^ { 2 } - 3$

Graph the equation with a graphing utility on the given viewing window. - $y = 1,000 x ^ { 2 } - 1,800 x$ on $[ - 5,5,1 ]$ by $[ - 1000,2000,500 ]$

Identify the center and radius of the circle. - $x ^ { 2 } - 10 x + y ^ { 2 } = 11$

Write the word or phrase that best completes each statement or answers the question. Provide the missing information. - $( 3 , - 3 )$ and $( - 4 , - 5 )$

Use translations to graph the given function. - $b ( x ) = | x - 2 | + 3$

Find the x- and y-intercepts. - $x ^ { 2 } + y = 64$

Write an equation of the line satisfying the given conditions. Write the answer in standard form. -The line has a slope of $- \frac { 6 } { 7 }$ and contains the point $( - 5 , - 8 )$ .

Find the midpoint of the line segment whose endpoints are the given points. -(-24.6, 38.1) and (-25.7, -17.7)

Write the word or phrase that best completes each statement or answers the question. Provide the missing information. - $\text { If } m _ { 1 } \text { and } m _ { 2 } \text { represent the slopes of two nonvertical perpendicular lines, then } m _ { 1 } m _ { 2 } =$ .

Use the scatter plot to determine if a linear regression model appears to be appropriate. -

Use transformations to graph the given function. - $f ( x ) = \sqrt { - x - 4 }$

A function g is given. Identify the parent function. Then use the steps for graphing multiple transformations of functions to list, in order, the transformations applied to the parent function to obtain the graph of g. - $g ( x ) = \frac { 4 } { x + 5 } - 3$

Use the graph of y = f (x) to answer the questions. -a. Determine $f ( - 1 )$ b. Find the range of $f$ .

Write the word or phrase that best completes each statement or answers the question. Provide the missing information. -Let c represent a positive real number. The graph of y = f (x) + c is the graph of y = f (x) shifted (up/down/left/right) c units.

Graph the equation by plotting points. - $y = | x - 3 |$

Determine the slope of the line passing through the given points. - $( - 2 , - 2 )$ and $( - 2,3 )$

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

Exam 2: Functions and Relations

Determine if the lines defined by the given equations are parallel, perpendicular, or neither. - y=x-2 y=-x-4

Find the x- and y-intercepts. - y=∣x+1∣−5y = | x + 1 | - 5y=∣x+1∣−5

Determine if the function is odd, even, or neither. - f(x)=3x4+3∣x3∣−3f ( x ) = 3 x ^ { 4 } + 3 \left| x ^ { 3 } \right| - 3f(x)=3x4+3​x3​−3

Sketch the graph using transformations of a parent function (without a table of values). - a(x)=x2−3a ( x ) = x ^ { 2 } - 3a(x)=x2−3

Graph the equation with a graphing utility on the given viewing window. - y=1,000x2−1,800xy = 1,000 x ^ { 2 } - 1,800 xy=1,000x2−1,800x on [−5,5,1][ - 5,5,1 ][−5,5,1] by [−1000,2000,500][ - 1000,2000,500 ][−1000,2000,500]

Identify the center and radius of the circle. - x2−10x+y2=11x ^ { 2 } - 10 x + y ^ { 2 } = 11x2−10x+y2=11

Write the word or phrase that best completes each statement or answers the question. Provide the missing information. - (3,−3)( 3 , - 3 )(3,−3) and (−4,−5)( - 4 , - 5 )(−4,−5)

Use translations to graph the given function. - b(x)=∣x−2∣+3b ( x ) = | x - 2 | + 3b(x)=∣x−2∣+3

Find the x- and y-intercepts. - x2+y=64x ^ { 2 } + y = 64x2+y=64

Write an equation of the line satisfying the given conditions. Write the answer in standard form. -The line has a slope of −67- \frac { 6 } { 7 }−76​ and contains the point (−5,−8)( - 5 , - 8 )(−5,−8) .

Find the midpoint of the line segment whose endpoints are the given points. -(-24.6, 38.1) and (-25.7, -17.7)

Use the scatter plot to determine if a linear regression model appears to be appropriate. -

Use transformations to graph the given function. - f(x)=−x−4f ( x ) = \sqrt { - x - 4 }f(x)=−x−4​

A function g is given. Identify the parent function. Then use the steps for graphing multiple transformations of functions to list, in order, the transformations applied to the parent function to obtain the graph of g. - g(x)=4x+5−3g ( x ) = \frac { 4 } { x + 5 } - 3g(x)=x+54​−3

Use the graph of y = f (x) to answer the questions. -a. Determine f(−1)f ( - 1 )f(−1) b. Find the range of fff .

Write the word or phrase that best completes each statement or answers the question. Provide the missing information. -Let c represent a positive real number. The graph of y = f (x) + c is the graph of y = f (x) shifted (up/down/left/right) c units.

Graph the equation by plotting points. - y=∣x−3∣y = | x - 3 |y=∣x−3∣

Determine the slope of the line passing through the given points. - (−2,−2)( - 2 , - 2 )(−2,−2) and (−2,3)( - 2,3 )(−2,3)

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

Find the x- and y-intercepts. - $y = | x + 1 | - 5$

Determine if the function is odd, even, or neither. - $f ( x ) = 3 x ^ { 4 } + 3 \left| x ^ { 3 } \right| - 3$

Sketch the graph using transformations of a parent function (without a table of values). - $a ( x ) = x ^ { 2 } - 3$

Graph the equation with a graphing utility on the given viewing window. - $y = 1,000 x ^ { 2 } - 1,800 x$ on $[ - 5,5,1 ]$ by $[ - 1000,2000,500 ]$

Identify the center and radius of the circle. - $x ^ { 2 } - 10 x + y ^ { 2 } = 11$

Write the word or phrase that best completes each statement or answers the question. Provide the missing information. - $( 3 , - 3 )$ and $( - 4 , - 5 )$

Use translations to graph the given function. - $b ( x ) = | x - 2 | + 3$

Find the x- and y-intercepts. - $x ^ { 2 } + y = 64$

Write an equation of the line satisfying the given conditions. Write the answer in standard form. -The line has a slope of $- \frac { 6 } { 7 }$ and contains the point $( - 5 , - 8 )$ .

Use transformations to graph the given function. - $f ( x ) = \sqrt { - x - 4 }$

A function g is given. Identify the parent function. Then use the steps for graphing multiple transformations of functions to list, in order, the transformations applied to the parent function to obtain the graph of g. - $g ( x ) = \frac { 4 } { x + 5 } - 3$

Use the graph of y = f (x) to answer the questions. -a. Determine $f ( - 1 )$ b. Find the range of $f$ .

Graph the equation by plotting points. - $y = | x - 3 |$

Determine the slope of the line passing through the given points. - $( - 2 , - 2 )$ and $( - 2,3 )$