Question 1

Determine the slope and y-intercept of the function.
-$$f ( x ) = \frac { 1 } { 4 } x - 3$$

Accepted Answer

A)  $\mathrm { m } = - \frac { 1 } { 4 } ; \mathrm { b } = 3$ 
B)  $\mathrm { m } = 4 ; \mathrm { b } = 3$ 
C)  $\mathrm { m } = \frac { 1 } { 4 } ; \mathrm { b } = - 3$ 
D)  $m = - 3 ; b = \frac { 1 } { 4 }$ 
A)  $\mathrm { m } = - \frac { 1 } { 4 } ; \mathrm { b } = 3$ 
B)  $\mathrm { m } = 4 ; \mathrm { b } = 3$ 
C)  $\mathrm { m } = \frac { 1 } { 4 } ; \mathrm { b } = - 3$ 
D)  $m = - 3 ; b = \frac { 1 } { 4 }$

Question 2

Determine the domain and the range of the function.
-$$f ( x ) = - x ^ { 2 } + 2 x$$

Accepted Answer

A)  domain: $\{ x \mid x \leq 1 \}$
 range: $\{ \mathrm { y } \mid \mathrm { y } \leq 1 \}$ 
B)  domain: all real numbers
range: $\{ y \mid y \leq 1 \}$ 
C)  domain: $\{ x \mid x \leq - 1 \}$
range: $\{ y \mid y \leq 1 \}$ 
D)  domain: all real numbers 
 range: $\{ y \mid y \leq - 1 \}$ 
A)  domain: $\{ x \mid x \leq 1 \}$
 range: $\{ \mathrm { y } \mid \mathrm { y } \leq 1 \}$ 
B)  domain: all real numbers
range: $\{ y \mid y \leq 1 \}$ 
C)  domain: $\{ x \mid x \leq - 1 \}$
range: $\{ y \mid y \leq 1 \}$ 
D)  domain: all real numbers 
 range: $\{ y \mid y \leq - 1 \}$

Question 3

Find the complex zeros of the quadratic function.
-$$G ( x ) = x ^ { 2 } + 100$$

Accepted Answer

A)  $x = 10$ 
B)  $x = - 10 i , x = 10 i$ 
C)  $x = 10 \mathrm { i }$ 
D)  $x = - 10 , x = 10$ 
A)  $x = 10$ 
B)  $x = - 10 i , x = 10 i$ 
C)  $x = 10 \mathrm { i }$ 
D)  $x = - 10 , x = 10$

Question 4

Solve the inequality.
-$$4 x ^ { 2 } - 15 < - 17 x$$

Accepted Answer

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

Question 5

Solve the inequality.
-$$x ^ { 2 } + 4 x \geq 0$$

Accepted Answer

A)  $( - \infty , - 4 ]$ or $[ 0 , \infty )$ 
B)  $[ 0,4 ]$ 
C)  $[ - 4,0 ]$ 
D)  $( - \infty , 0 ]$ or $[ 4 , \infty )$ 
A)  $( - \infty , - 4 ]$ or $[ 0 , \infty )$ 
B)  $[ 0,4 ]$ 
C)  $[ - 4,0 ]$ 
D)  $( - \infty , 0 ]$ or $[ 4 , \infty )$

Question 6

Solve the inequality.
-$$x ^ { 2 } - 25 > 0$$

Accepted Answer

A)  $( - \infty , - 25 )$ or $( 25 , \infty )$
В) $( - 5,5 )$ 
C)  $( - \infty , - 5 )$ or $( 5 , \infty )$ 
D)  $( - 25,25 )$ 
A)  $( - \infty , - 25 )$ or $( 25 , \infty )$
В) $( - 5,5 )$ 
C)  $( - \infty , - 5 )$ or $( 5 , \infty )$ 
D)  $( - 25,25 )$

Question 7

Solve the problem.
-The owner of a video store has determined that the profits P of the store are approximately given by $$P ( x ) = - x ^ { 2 } + 150 x + 54$$ , where x is the number of videos rented daily. Find the maximum profit to the nearest dollar.

Accepted Answer

A)  $5,625 
B)  $11,304 
C)  $11,250 
D)  $5,679 
A)  $5,625 
B)  $11,304 
C)  $11,250 
D)  $5,679

Question 8

Find the vertex and axis of symmetry of the graph of the function.
-$$f ( x ) = x ^ { 2 } + 2 x - 3$$

Accepted Answer

A)  $( - 1 , - 4 ) ; x = - 1$ 
B)  $( 1,4 ) ; x = 1$ 
C)  $( 1 , - 4 ) ; x = 1$ 
D)  $( - 1,4 ) ; x = - 1$ 
A)  $( - 1 , - 4 ) ; x = - 1$ 
B)  $( 1,4 ) ; x = 1$ 
C)  $( 1 , - 4 ) ; x = 1$ 
D)  $( - 1,4 ) ; x = - 1$

Question 9

Solve the inequality. Express your answer using interval notation. Graph the solution set.
-$| 8 k + 1 | \geq 2$

Accepted Answer

A)  $\left( - \frac { 3 } { 8 } , \frac { 1 } { 8 } \right)$
  
B)  $\left( - \infty , - \frac { 3 } { 8 } \right] \cup \left[ \frac { 1 } { 8 } , \infty \right)$
  
C)  $\left[\frac{1}{8}, \infty\right)$
  
D)  $\left[ - \frac { 3 } { 8 } , \frac { 1 } { 8 } \right]$
  
A)  $\left( - \frac { 3 } { 8 } , \frac { 1 } { 8 } \right)$
  
B)  $\left( - \infty , - \frac { 3 } { 8 } \right] \cup \left[ \frac { 1 } { 8 } , \infty \right)$
  
C)  $\left[\frac{1}{8}, \infty\right)$
  
D)  $\left[ - \frac { 3 } { 8 } , \frac { 1 } { 8 } \right]$

Question 10

Solve the inequality.
-$$x ^ { 2 } + 6 x \leq 0$$

Accepted Answer

A)  $[ - 6,0 ]$ 
B)  $[ 0,6 ]$ 
C)  $( - \infty , 0 ]$ or $[ 6 , \infty )$ 
D)  $( - \infty , - 6 ]$ or $[ 0 , \infty )$ 
A)  $[ - 6,0 ]$ 
B)  $[ 0,6 ]$ 
C)  $( - \infty , 0 ]$ or $[ 6 , \infty )$ 
D)  $( - \infty , - 6 ]$ or $[ 0 , \infty )$

Question 11

Solve the equation.
-$$| 6 x | = 3$$

Accepted Answer

A)  $\{ - 2,2 \}$ 
B)  $\left\{ - \frac { 1 } { 2 } , \frac { 1 } { 2 } \right\}$ 
C)  $\left\{ \frac { 1 } { 2 } \right\}$ 
D)  $\left\{ - \frac { 1 } { 2 } \right\}$ 
A)  $\{ - 2,2 \}$ 
B)  $\left\{ - \frac { 1 } { 2 } , \frac { 1 } { 2 } \right\}$ 
C)  $\left\{ \frac { 1 } { 2 } \right\}$ 
D)  $\left\{ - \frac { 1 } { 2 } \right\}$

Question 12

Solve the problem.
-A coin is tossed upward from a balcony $300 \mathrm { ft }$ high with an initial velocity of $32 \mathrm { ft } / \mathrm { sec }$. During what interval of time will the coin be at a height of at least $60 \mathrm { ft }$ ? $\left( h = - 16 \mathrm { t } ^ { 2 } + \mathrm { v } _ { \mathrm { O } } \mathrm { t } + \mathrm { h } _ { \mathrm { O } } \right.$.)

Accepted Answer

A)  $0 \leq t \leq 5$ 
B)  $4 \leq \mathrm { t } \leq 5$ 
C)  $5 \leq t \leq 10$ 
D)  $0 \leq t \leq 1$ 
A)  $0 \leq t \leq 5$ 
B)  $4 \leq \mathrm { t } \leq 5$ 
C)  $5 \leq t \leq 10$ 
D)  $0 \leq t \leq 1$

Question 13

Plot a scatter diagram.
-$\begin{array}{l|lllllllll}
\mathrm{x} & 15 & 21 & 36 & 46 & 58 & 70 & 71 & 84 & 95 \
\hline \mathrm{y} & 10 & 23 & 42 & 45 & 68 & 55 & 63 & 96 & 85
\end{array}$

A)

Accepted Answer

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

Question 14

Solve the problem.
-A coin is tossed upward from a balcony $390 \mathrm { ft }$ high with an initial velocity of $16 \mathrm { ft } / \mathrm { sec }$. During what interval of time will the coin be at a height of at least $70 \mathrm { ft }$ ?
$\left( h = - 16 t ^ { 2 } + v _ { O ^ { - } } t + h _ { O ^ { - } } \right)$

Accepted Answer

A)  $0 \leq t \leq 1$ 
B)  $0 \leq t \leq 5$ 
C)  $4 \leq t \leq 5$ 
D)  $5 \leq t \leq 10$ 
A)  $0 \leq t \leq 1$ 
B)  $0 \leq t \leq 5$ 
C)  $4 \leq t \leq 5$ 
D)  $5 \leq t \leq 10$

Question 15

Graph the function f by starting with the graph of y $y = x ^ { 2 }$ and using transformations (shifting, compressing, stretching,
and/or reflection).
-$$f ( x ) = \frac { 1 } { 2 } x ^ { 2 }$$
 
 A)

Accepted Answer

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

Question 16

Determine where the function is increasing and where it is decreasing.
-$$f ( x ) = - x ^ { 2 } - 2 x + 8$$

Accepted Answer

A)  increasing on $( - \infty , - 1 )$
decreasing on $( - 1 , \infty )$ 
B)  increasing on $( - 1 , \infty )$ 
decreasing on $( - \infty , - 1 )$ 
C)  increasing on $( 9 , \infty )$
decreasing on $( - \infty , 9 )$ 
D)  increasing on $( - \infty , 9 )$
decreasing on $( 9 , \infty )$ 
A)  increasing on $( - \infty , - 1 )$
decreasing on $( - 1 , \infty )$ 
B)  increasing on $( - 1 , \infty )$ 
decreasing on $( - \infty , - 1 )$ 
C)  increasing on $( 9 , \infty )$
decreasing on $( - \infty , 9 )$ 
D)  increasing on $( - \infty , 9 )$
decreasing on $( 9 , \infty )$

Question 17

Graph the function using its vertex, axis of symmetry, and intercepts.
-$f(x)=-x^{2}+6 x$
 
 A) $\begin{array}{l}
\text { vertex }(3,-9) \
\text { intercept }(0,-18)
\end{array}$

Accepted Answer

B) $\begin{array}{l}
\text { vertex }(3,9) \
\text { intercepts }(0,0),(6,0)
\end{array}$
  
C)  vertex $( - 3,9 )$
intercepts $( 0,0 ) , ( - 6,0 )$
  
D)  vertex $( - 3 , - 9 )$
intercept $( 0 , - 18 )$
  
B) $\begin{array}{l}
\text { vertex }(3,9) \
\text { intercepts }(0,0),(6,0)
\end{array}$
  
C)  vertex $( - 3,9 )$
intercepts $( 0,0 ) , ( - 6,0 )$
  
D)  vertex $( - 3 , - 9 )$
intercept $( 0 , - 18 )$

Question 18

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary.
-$\begin{array}{c|ccccc}
\mathrm{x} & 2 & 3 & 7 & 8 & 10 \
\hline \mathrm{y} & 3 & 4 & 4 & 5 & 6
\end{array}$

Accepted Answer

A)  $y = 0.32 x + 2.57$ 
B)  $y = 0.30 x + 4.29$ 
C)  $y = 0.32 x + 4.29$ 
D)  $y = 0.30 x + 2.57$ 
A)  $y = 0.32 x + 2.57$ 
B)  $y = 0.30 x + 4.29$ 
C)  $y = 0.32 x + 4.29$ 
D)  $y = 0.30 x + 2.57$

Question 19

Solve the inequality. Express your answer using interval notation. Graph the solution set.
-$$| x | > 2$$

Accepted Answer

A)  $( - \infty , - 2 ) \cup ( 2 , \infty )$
  
B)  $[ 2 , \infty )$
  
C)  $[ - 2,2 ]$
  
D)  $( - 2,2 )$
  
A)  $( - \infty , - 2 ) \cup ( 2 , \infty )$
  
B)  $[ 2 , \infty )$
  
C)  $[ - 2,2 ]$
  
D)  $( - 2,2 )$

Question 20

Graph the function using its vertex, axis of symmetry, and intercepts.
-$f(x)=x^{2}-2 x-8$
 
 A) vertex $( 1 , - 9 )$
intercepts $( 4,0 ) , ( - 2,0 ) , ( 0 , - 8 )$

Accepted Answer

B)  vertex $( 1,9 )$
intercepts $( 4,0 ) , ( - 2,0 ) , ( 0,8 )$
  
C)  vertex $( - 1,9 )$
intercepts $( - 4,0 ) , ( 2,0 ) , ( 0,8 )$
  
D)  vertex $( - 1 , - 9 )$
intercepts $( - 4,0 ) , ( 2,0 ) , ( 0 , - 8 )$
  
B)  vertex $( 1,9 )$
intercepts $( 4,0 ) , ( - 2,0 ) , ( 0,8 )$
  
C)  vertex $( - 1,9 )$
intercepts $( - 4,0 ) , ( 2,0 ) , ( 0,8 )$
  
D)  vertex $( - 1 , - 9 )$
intercepts $( - 4,0 ) , ( 2,0 ) , ( 0 , - 8 )$

Determine the slope and y-intercept of the function. - $f ( x ) = \frac { 1 } { 4 } x - 3$

Determine the domain and the range of the function. - $f ( x ) = - x ^ { 2 } + 2 x$

Find the complex zeros of the quadratic function. - $G ( x ) = x ^ { 2 } + 100$

Solve the inequality. - $4 x ^ { 2 } - 15 < - 17 x$

Solve the inequality. - $x ^ { 2 } + 4 x \geq 0$

Solve the inequality. - $x ^ { 2 } - 25 > 0$

Solve the problem. -The owner of a video store has determined that the profits P of the store are approximately given by $P ( x ) = - x ^ { 2 } + 150 x + 54$ , where x is the number of videos rented daily. Find the maximum profit to the nearest dollar.

Find the vertex and axis of symmetry of the graph of the function. - $f ( x ) = x ^ { 2 } + 2 x - 3$

Solve the inequality. Express your answer using interval notation. Graph the solution set. - $| 8 k + 1 | \geq 2$ $Solve the inequality. Express your answer using interval notation. Graph the solution set. - | 8 k + 1 | \geq 2$

Solve the inequality. - $x ^ { 2 } + 6 x \leq 0$

Solve the equation. - $| 6 x | = 3$

Determine where the function is increasing and where it is decreasing. - $f ( x ) = - x ^ { 2 } - 2 x + 8$

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. - 2 3 7 8 10 3 4 4 5 6

Solve the inequality. Express your answer using interval notation. Graph the solution set. - $| x | > 2$

Functions and Their Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometric Functions

Polar Coordinates; Vectors

Analytic Geometry

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

A Preview of Calculus: the Limit, Derivative, and Integral of a Function

Review

Filters

Exam 2: Linear and Quadratic Functions

Determine the slope and y-intercept of the function. - f(x)=14x−3f ( x ) = \frac { 1 } { 4 } x - 3f(x)=41​x−3

Determine the domain and the range of the function. - f(x)=−x2+2xf ( x ) = - x ^ { 2 } + 2 xf(x)=−x2+2x

Find the complex zeros of the quadratic function. - G(x)=x2+100G ( x ) = x ^ { 2 } + 100G(x)=x2+100

Solve the inequality. - 4x2−15<−17x4 x ^ { 2 } - 15 < - 17 x4x2−15<−17x

Solve the inequality. - x2+4x≥0x ^ { 2 } + 4 x \geq 0x2+4x≥0

Solve the inequality. - x2−25>0x ^ { 2 } - 25 > 0x2−25>0

Solve the problem. -The owner of a video store has determined that the profits P of the store are approximately given by P(x)=−x2+150x+54P ( x ) = - x ^ { 2 } + 150 x + 54P(x)=−x2+150x+54 , where x is the number of videos rented daily. Find the maximum profit to the nearest dollar.

Find the vertex and axis of symmetry of the graph of the function. - f(x)=x2+2x−3f ( x ) = x ^ { 2 } + 2 x - 3f(x)=x2+2x−3

Solve the inequality. Express your answer using interval notation. Graph the solution set. - ∣8k+1∣≥2| 8 k + 1 | \geq 2∣8k+1∣≥2

Solve the inequality. - x2+6x≤0x ^ { 2 } + 6 x \leq 0x2+6x≤0

Solve the equation. - ∣6x∣=3| 6 x | = 3∣6x∣=3

Plot a scatter diagram. - 15 21 36 46 58 70 71 84 95 10 23 42 45 68 55 63 96 85 A) B) C) D)

Graph the function f by starting with the graph of y y=x2y = x ^ { 2 }y=x2 and using transformations (shifting, compressing, stretching, and/or reflection). - f(x)=12x2f ( x ) = \frac { 1 } { 2 } x ^ { 2 }f(x)=21​x2 A) B) C) D)

Determine where the function is increasing and where it is decreasing. - f(x)=−x2−2x+8f ( x ) = - x ^ { 2 } - 2 x + 8f(x)=−x2−2x+8