Question 1

Graph the function. State whether it is increasing, decreasing, or constant..
-$$h ( x ) = - 2 x + 5$$
 
 A) increasing

Accepted Answer

B)  decreasing
  
C)  decreasing
  
D)  increasing
  
B)  decreasing
  
C)  decreasing
  
D)  increasing

Question 2

Use the slope and y-intercept to graph the linear function.
-$$G ( x ) = - 3 x$$
 
 A)

Accepted Answer

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

Question 3

Graph the function. State whether it is increasing, decreasing, or constant..
-$$h ( x ) = - \frac { 2 } { 5 } x + 2$$
 
 A) decreasing

Accepted Answer

B)  decreasing
  
C)  increasing
  
D)  decreasing
  
B)  decreasing
  
C)  increasing
  
D)  decreasing

Question 4

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary.
-$\begin{array}{c|ccccc}
\mathrm{x} & 2 & 4 & 6 & 8 & 10 \
\hline \mathrm{y} & 15 & 37 & 60 & 75 & 94
\end{array}$

Accepted Answer

A)  $y = 9 x - 3$ 
B)  $y = 9.8 x - 2.6$ 
C)  $\mathrm { y } = 9.2 \mathrm { x } - 2.1$ 
D)  $y = 10 x - 3$ 
A)  $y = 9 x - 3$ 
B)  $y = 9.8 x - 2.6$ 
C)  $\mathrm { y } = 9.2 \mathrm { x } - 2.1$ 
D)  $y = 10 x - 3$

Question 5

Solve the equation.
-$$| x | = 7$$

Accepted Answer

A)  $\{ - 7,7 \}$ 
B)  $\{ - 7 \}$ 
C)  $\{ 7 \}$ 
D)  $\{ 49 \}$ 
A)  $\{ - 7,7 \}$ 
B)  $\{ - 7 \}$ 
C)  $\{ 7 \}$ 
D)  $\{ 49 \}$

Question 6

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

Accepted Answer

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

Question 7

Find the zeros of the quadratic function using the Square Root Method. List the x-intercepts of the graph of the function.
-$$g ( x ) = ( x - 2 ) ^ { 2 } - 49$$

Accepted Answer

A)  $x = - 9 , x = - 5$ 
B)  $x = 51$ 
C)  $x = - 5 , x = 9$ 
D)  $x = - 7 , x = 7$ 
A)  $x = - 9 , x = - 5$ 
B)  $x = 51$ 
C)  $x = - 5 , x = 9$ 
D)  $x = - 7 , x = 7$

Question 8

Solve the problem.
-If $f ( x ) = 6 x ^ { 2 } - 5 x$ and $g ( x ) = 2 x + 3$, solve $f ( x ) \leq g ( x )$.

Accepted Answer

A)  $\left( - \frac { 1 } { 3 } , \frac { 3 } { 2 } \right)$ 
B)  $\left[ - \frac { 1 } { 3 } , \frac { 3 } { 2 } \right]$ 
C)  $\left[ - \frac { 3 } { 2 } , \frac { 1 } { 3 } \right]$ 
D)  $\left[ - \frac { 1 } { 3 } , \frac { 3 } { 2 } \right]$ 
A)  $\left( - \frac { 1 } { 3 } , \frac { 3 } { 2 } \right)$ 
B)  $\left[ - \frac { 1 } { 3 } , \frac { 3 } { 2 } \right]$ 
C)  $\left[ - \frac { 3 } { 2 } , \frac { 1 } { 3 } \right]$ 
D)  $\left[ - \frac { 1 } { 3 } , \frac { 3 } { 2 } \right]$

Question 9

Solve the problem.
-A developer wants to enclose a rectangular grassy lot that borders a city street for parking. If the developer has 208 feet of fencing and does not fence the side along the street, what is the largest area that can be enclosed? A) $10,816 \mathrm { ft } ^ { 2 }$

Accepted Answer

B)  $2,704 \mathrm { ft } ^ { 2 }$ 
C)  $8,112 \mathrm { ft } ^ { 2 }$ 
D)  $5,408 \mathrm { ft } ^ { 2 }$ 
B)  $2,704 \mathrm { ft } ^ { 2 }$ 
C)  $8,112 \mathrm { ft } ^ { 2 }$ 
D)  $5,408 \mathrm { ft } ^ { 2 }$

Question 10

Find the zeros of the quadratic function using the Square Root Method. List the x-intercepts of the graph of the function.
-$$h ( x ) = ( x + 4 ) ^ { 2 } - 16$$

Accepted Answer

A)  $x = - 8 , x = 0$ 
B)  $x = - 8$ 
C)  $x = - 4 , x = 4$ 
D)  $x = 0$ 
A)  $x = - 8 , x = 0$ 
B)  $x = - 8$ 
C)  $x = - 4 , x = 4$ 
D)  $x = 0$

Question 11

Solve the inequality. Express your answer using interval notation. Graph the solution set.
-$| x - 2 | < 14$

Accepted Answer

A)  $( - \infty , 16 )$
  
B)  $( - 12,16 )$
  
C) $( - 16,12 )$
  
D)  $( - \infty , - 12 )$
  
A)  $( - \infty , 16 )$
  
B)  $( - 12,16 )$
  
C) $( - 16,12 )$
  
D)  $( - \infty , - 12 )$

Question 12

Determine if the type of relation is linear, nonlinear, or none.
-

Accepted Answer

A)  none 
B)  nonlinear 
C)  linear 
A)  none 
B)  nonlinear 
C)  linear

Question 13

Solve the inequality.
-$x ^ { 2 } - 5 x \leq 0$

Accepted Answer

A)  $( - \infty , 0 ]$ or $[ 5 , \infty )$ 
B)  $[ 0,5 ]$ 
C)  $[ - 5,0 ]$ 
D)  $( - \infty , - 5 ]$ or $[ 0 , \infty )$ 
A)  $( - \infty , 0 ]$ or $[ 5 , \infty )$ 
B)  $[ 0,5 ]$ 
C)  $[ - 5,0 ]$ 
D)  $( - \infty , - 5 ]$ or $[ 0 , \infty )$

Question 14

Use factoring to find the zeros of the quadratic function. List the x-intercepts of the graph of the function.
-$$F ( x ) = x ^ { 2 } - x - 12$$

Accepted Answer

A)  $x = 1 , x = 12$ 
B)  $x = - 3 , x = - 4$ 
C)  $x = - 3 , x = 4$ 
D)  $x = 3 , x = 4$ 
A)  $x = 1 , x = 12$ 
B)  $x = - 3 , x = - 4$ 
C)  $x = - 3 , x = 4$ 
D)  $x = 3 , x = 4$

Question 15

Use factoring to find the zeros of the quadratic function. List the x-intercepts of the graph of the function.
-$$F ( x ) = 5 x ^ { 2 } + 17 x - 12$$

Accepted Answer

A)  $x = \frac { 3 } { 5 } , x = 4$ 
B)  $x = - \frac { 3 } { 5 } , x = 4$ 
C)  $x = - \frac { 3 } { 5 } , x = - 4$ 
D)  $x = \frac { 3 } { 5 } , x = - 4$ 
A)  $x = \frac { 3 } { 5 } , x = 4$ 
B)  $x = - \frac { 3 } { 5 } , x = 4$ 
C)  $x = - \frac { 3 } { 5 } , x = - 4$ 
D)  $x = \frac { 3 } { 5 } , x = - 4$

Question 16

Solve the problem.
-The following data represents the Olympic winning time in Women's 100 m Freestyle. $$\begin{array} { l | l l l l l l l } 
\text { year } & 1972 & 1976 & 1980 & 1984 & 1988 & 1992 & 1996 \
\hline \text { time } & 58.59 & 55.65 & 54.79 & 55.92 & 54.93 & 54.65 & 54.50
\end{array}$$ Find the slope of the line of best fit for the data set and interpret it.

Accepted Answer

The slope is about -0.12616 wh

Question 17

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary.
-$\begin{array}{l|lllll}
\mathrm{x} & 1.2 & 1.4 & 1.6 & 1.8 & 2.0 \
\hline \mathrm{y} & 54 & 53 & 55 & 54 & 56
\end{array}$

Accepted Answer

A)  $y = 2.5 x + 50.4$ 
B)  $y = 3 x + 50$ 
C)  $y = 54$ 
D)  $y = 55.3$ 
A)  $y = 2.5 x + 50.4$ 
B)  $y = 3 x + 50$ 
C)  $y = 54$ 
D)  $y = 55.3$

Question 18

Solve the inequality. Express your answer using interval notation. Graph the solution set.
-$$| 3 k - 4 | \leq 3$$

Accepted Answer

A)  $\left( - \infty , \frac { 1 } { 3 } \right] \cup \left[ \frac { 7 } { 3 } , \infty \right)$
  
B)  $\left( - \infty , \frac { 7 } { 3 } \right]$
  
C)  $\left( \frac { 1 } { 3 } , \frac { 7 } { 3 } \right)$
  
D)  $\left[ \frac { 1 } { 3 } , \frac { 7 } { 3 } \right]$
  
A)  $\left( - \infty , \frac { 1 } { 3 } \right] \cup \left[ \frac { 7 } { 3 } , \infty \right)$
  
B)  $\left( - \infty , \frac { 7 } { 3 } \right]$
  
C)  $\left( \frac { 1 } { 3 } , \frac { 7 } { 3 } \right)$
  
D)  $\left[ \frac { 1 } { 3 } , \frac { 7 } { 3 } \right]$

Question 19

Determine where the function is increasing and where it is decreasing.
-$$f ( x ) = x ^ { 2 } + 4 x + 3$$

Accepted Answer

A)  increasing on $( - \infty , - 1 )$
decreasing on $( - 1 , \infty )$ 
B)  increasing on $( - 1 , \infty )$ 
 decreasing on $( - \infty , - 1 )$ 
C)  increasing on $( - 2 , \infty )$
decreasing on $( - \infty , - 2 )$ 
D)  increasing on $( - \infty , - 2 )$ 
decreasing on $( - 2 , \infty )$ 
A)  increasing on $( - \infty , - 1 )$
decreasing on $( - 1 , \infty )$ 
B)  increasing on $( - 1 , \infty )$ 
 decreasing on $( - \infty , - 1 )$ 
C)  increasing on $( - 2 , \infty )$
decreasing on $( - \infty , - 2 )$ 
D)  increasing on $( - \infty , - 2 )$ 
decreasing on $( - 2 , \infty )$

Question 20

Use the slope and y-intercept to graph the linear function.
-$p(x)=-x-4$
 
 A)

Accepted Answer

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

Graph the function. State whether it is increasing, decreasing, or constant.. - $h ( x ) = - 2 x + 5$ A) increasing B) decreasing C) decreasing D) increasing

Use the slope and y-intercept to graph the linear function. - $G ( x ) = - 3 x$ A) B) C) D)

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. - 2 4 6 8 10 15 37 60 75 94

Solve the equation. - $| x | = 7$

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

Find the zeros of the quadratic function using the Square Root Method. List the x-intercepts of the graph of the function. - $g ( x ) = ( x - 2 ) ^ { 2 } - 49$

Solve the problem. -If $f ( x ) = 6 x ^ { 2 } - 5 x$ and $g ( x ) = 2 x + 3$ , solve $f ( x ) \leq g ( x )$ .

Find the zeros of the quadratic function using the Square Root Method. List the x-intercepts of the graph of the function. - $h ( x ) = ( x + 4 ) ^ { 2 } - 16$

Solve the inequality. Express your answer using interval notation. Graph the solution set. - $| x - 2 | < 14$

Determine if the type of relation is linear, nonlinear, or none. -

Solve the inequality. - $x ^ { 2 } - 5 x \leq 0$

Use factoring to find the zeros of the quadratic function. List the x-intercepts of the graph of the function. - $F ( x ) = x ^ { 2 } - x - 12$

Use factoring to find the zeros of the quadratic function. List the x-intercepts of the graph of the function. - $F ( x ) = 5 x ^ { 2 } + 17 x - 12$

Solve the problem. -The following data represents the Olympic winning time in Women's 100 m Freestyle. year 1972 1976 1980 1984 1988 1992 1996 time 58.59 55.65 54.79 55.92 54.93 54.65 54.50 Find the slope of the line of best fit for the data set and interpret it.

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. - 1.2 1.4 1.6 1.8 2.0 54 53 55 54 56

Solve the inequality. Express your answer using interval notation. Graph the solution set. - $| 3 k - 4 | \leq 3$ $Solve the inequality. Express your answer using interval notation. Graph the solution set. - | 3 k - 4 | \leq 3$

Determine where the function is increasing and where it is decreasing. - $f ( x ) = x ^ { 2 } + 4 x + 3$

Use the slope and y-intercept to graph the linear function. - $p(x)=-x-4$ A) B) C) D)

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

Graph the function. State whether it is increasing, decreasing, or constant.. - h(x)=−2x+5h ( x ) = - 2 x + 5h(x)=−2x+5 A) increasing B) decreasing C) decreasing D) increasing

Use the slope and y-intercept to graph the linear function. - G(x)=−3xG ( x ) = - 3 xG(x)=−3x A) B) C) D)

Graph the function. State whether it is increasing, decreasing, or constant.. - h(x)=−25x+2h ( x ) = - \frac { 2 } { 5 } x + 2h(x)=−52​x+2 A) decreasing B) decreasing C) increasing D) decreasing