Question 1

Find the complex zeros of the quadratic function.
Solve the inequality. Express your answer using interval notation. Graph the solution set.
-$|x|>4$

Accepted Answer

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

Question 2

Find the zero of the linear function.
-h(x) = 13 - x

Accepted Answer

A)  1 
B)  -26 
C)  13 
D)  -13

Question 3

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary.
-$$\begin{array} { l | l l l l l } 
\mathrm { x } & 0 & 3 & 4 & 5 & 12 \
\hline \mathrm { y } & 8 & 2 & 6 & 9 & 12
\end{array}$$

Accepted Answer

A)  y = 0.53x + 4.88 
B)  y = 0.73x + 4.98 
C)  y = 0.63x + 4.88 
D)  y = 0.43x + 4.98

Question 4

Solve the problem.
-A drug company establishes that the most effective dose of a new drug relates to body weight as shown below. Let body weight be the independent variable and drug dosage be the dependent variable. Use a graphing utility
To draw a scatter diagram and to find the line of best fit. What is the most effective dosage for a person weighing
120 lbs? $$\begin{array} { l l } 
\hline \text { Body } & \text { Drug } \
\text { Weight } ( \mathrm { lbs } ) & \text { Dosage } ( \mathrm { mg } ) \
\hline 50 & 9 \
100 & 13 \
150 & 15 \
200 & 21 \
250 & 21 \
\hline
\end{array}$$

Accepted Answer

A)  14 mg 
B)  26.79 mg 
C)  13.07 mg 
D)  13.88 mg

Question 5

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary.
-$$\begin{array} { c | c c c c c } 
x & 1 & 3 & 5 & 7 & 9 \
\hline y & 143 & 116 & 100 & 98 & 90
\end{array}$$

Accepted Answer

A)  y = -6.2x + 140.4 
B)  y = -6.8x + 150.7 
C)  y = 6.8x - 150.7 
D)  y = 6.2x - 140.4

Question 6

Solve f(x) = g(x). Find the points of intersection of the graphs of the two functions.
-f(x) = 6x + 7 $g ( x ) = x ^ { 2 }$

Accepted Answer

A)  $x = - 1 , x = 7$ 
B)  $x = - 1 , x = \frac { 1 } { 7 }$ 
C)  $x = 1 , x = 7$ 
D)  $x = 1 , x = - \frac { 1 } { 7 }$ $x = - 1 , x = 7$

Question 7

Solve the problem.
-The following scatter diagram shows heights (in inches) of children and their ages.  Age (years) What happens to height as age increases?

Accepted Answer

A)  Height stays the same as age increases. 
B)  Height increases as age increases. 
C)  Height decreases as age increases. 
D)  Height and age do not appear to be related.

Question 8

Find the complex zeros of the quadratic function.
Solve the inequality. Express your answer using interval notation. Graph the solution set.
-$| x - | 6 \mid > 14$

Accepted Answer

A) $(2,30)$
 
B)  $( - \infty , 2 ) \cup ( 30 , \infty )$
 
C) ( - 30 , - 2 )
 
D) $ ( 30 , \infty]$

Question 9

Determine the domain and the range of the function.
-$$f ( x ) = - 11 x ^ { 2 } - 2 x - 8$$

Accepted Answer

A)  domain: all real numbers
range: $\left\{ \mathrm { y } \mid \mathrm { y } \leq - \frac { 87 } { 11 } \right\}$ 
B)  domain: all real numbers
range: $\left\{ y \mid y \geq \frac { 87 } { 11 } \right\}$ 
C)  domain: all real numbers
range: $\left\{ y \mid y \leq \frac { 87 } { 11 } \right\}$ 
D)  domain: all real numbers
range: $\left\{ y \mid y \geq - \frac { 87 } { 11 } \right\}$

Question 10

Find the vertex and axis of symmetry of the graph of the function.
-f(x) =x2 +12x+36

Accepted Answer

A)  vertex $( - 6,0 )$
intercepts $( 0,36 ) , ( - 6,0 )$
 
B)  vertex $( - 6,36 )$
intercept $( 0,72 )$
 
C)  vertex $( 6,36 )$
intercept $( 0,72 )$
 
D)  vertex $( 6,0 )$
intercepts $( 0,36 ) , ( 6,0 )$

Question 11

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

Accepted Answer

A)  vertex $( 1,4 )$
intercepts $( 3,0 ) , ( - 1,0 ) , ( 0,3 )$
 
B)  vertex $( - 1 , - 4 )$
intercepts $( - 3,0 ) , ( 1,0 ) , ( 0 , - 3 )$
 
C)  vertex $( 1 , - 4 )$
intercepts $( 3,0 ) , ( - 1,0 ) , ( 0 , - 3 )$
 
D)  vertex $( - 1,4 )$
intercepts $( - 3,0 ) , ( 1,0 ) , ( 0,3 )$

Question 12

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

Accepted Answer

A)  none 
B)  nonlinear 
C)  linear

Question 13

Find the complex zeros of the quadratic function.
Solve the inequality. Express your answer using interval notation. Graph the solution set.
-$| 4 x | < 16$

Accepted Answer

A) $(-\infty,-4) \text { or }(4, \infty)$
 
B)  $( - 4,4 )$
 
C) $( - \infty , 4 )$
 
D)  $( - 4,4 )$

Question 14

Use factoring to find the zeros of the quadratic function. List the x-intercepts of the graph of the function.
-$$f ( x ) = x ^ { 2 } - 64$$

Accepted Answer

A)  x = -8 
B)  x = 8 
C)  x = -8, x = 8 
D)  x = -4096, x = 4096

Question 15

Use the slope and y-intercept to graph the linear function.
-$F ( x ) = \frac { 1 } { 2 } x$

Accepted Answer

A) 
 
B) 
 
C) 
 
D)

Question 16

Solve the problem.
-A ball is thrown vertically upward from the top of a building 128 feet tall with an initial velocity of 112 feet per second. The distance s (in feet) of the ball from the ground after t seconds is s = 128 + 112t - 16t2 . After how
Many seconds will the ball pass the top of the building on its way down?

Accepted Answer

A)  7 sec 
B)  6 sec 
C)  9 sec 
D)  128 sec

Question 17

Use a graphing calculator to plot the data and find the quadratic function of best fit.
-Southern Granite and Marble sells granite and marble by the square yard. One of its granite patterns is price sensitive. If the price is too low, customers perceive that it has less quality. If the price is too high, customers
Perceive that it is overpriced. The company conducted a pricing test with potential customers. The following
Data was collected. Use a graphing calculator to plot the data. What is the quadratic function of best fit? $$\begin{array} { l | l } 
\text { Price, x } & \text { Buyers, B } \
\hline \$ 20 & 30 \
\$ 30 & 50 \
\$ 40 & 65 \
\$ 60 & 75 \
\$ 80 & 72 \
\$ 100 & 50 \
\$ 110 & 25
\end{array}$$

Accepted Answer

A)  B(x) = 0.0243x2 - 3.115x - 22.13 
B)  B(x) = -0.0243x2 + 3.115x + 22.13 
C)  B(x) = -0.0243x2 + 3.115x - 22.13 
D)  B(x) = -0.243x2 + 3.115x - 22.13

Question 18

Match the graph to one of the listed functions.
-

Accepted Answer

A)  $f ( x ) = x ^ { 2 } - 4 x$ 
B)  $f ( x ) = x ^ { 2 } - 4$ 
C)  $f ( x ) = - x ^ { 2 } - 4$ 
D)  $f ( x ) = - x ^ { 2 } - 4 x$

Question 19

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary.
-$$\begin{array} { l | l l l l l } 
\mathrm { x } & 6 & 8 & 20 & 28 & 36 \
\hline \mathrm { y } & 2 & 4 & 13 & 20 & 30
\end{array}$$

Accepted Answer

A)  y = 0.95x - 2.79 
B)  y = 0.90x - 3.79 
C)  y = 0.85x - 2.79 
D)  y = 0.80x - 3.79

Question 20

Determine the quadratic function whose graph is given.
-A flare fired from the bottom of a gorge is visible only when the flare is above the rim. If it is fired with an initial velocity of 112 ft/sec, and the gorge is 160 ft deep, during what interval can the flare be seen?
(h = -16t2 + vot + ho.)

Accepted Answer

A)  6 < t < 9 
B)  0 < t < 2 
C)  2 < t < 5 
D)  4 < t < 7

Exam 2: Linear and Quadratic Functions

Find the zero of the linear function. -h(x) = 13 - x

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. - $\begin{array} { l | l l l l l } \mathrm { x } & 0 & 3 & 4 & 5 & 12 \\\hline \mathrm { y } & 8 & 2 & 6 & 9 & 12\end{array}$

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. - $\begin{array} { c | c c c c c } x & 1 & 3 & 5 & 7 & 9 \\\hline y & 143 & 116 & 100 & 98 & 90\end{array}$

Solve f(x) = g(x) . Find the points of intersection of the graphs of the two functions. -f(x) = 6x + 7 $g ( x ) = x ^ { 2 }$

Solve the problem. -The following scatter diagram shows heights (in inches) of children and their ages. Age (years) What happens to height as age increases?

Find the complex zeros of the quadratic function. Solve the inequality. Express your answer using interval notation. Graph the solution set. - $| x - | 6 \mid > 14$

Determine the domain and the range of the function. - $f ( x ) = - 11 x ^ { 2 } - 2 x - 8$

Find the vertex and axis of symmetry of the graph of the function. -f(x) =x² +12x+36

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

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

Use factoring to find the zeros of the quadratic function. List the x-intercepts of the graph of the function. - $f ( x ) = x ^ { 2 } - 64$

Use the slope and y-intercept to graph the linear function. - $F ( x ) = \frac { 1 } { 2 } x$ $Use the slope and y-intercept to graph the linear function. - F ( x ) = \frac { 1 } { 2 } x A) B) C) D)$

Match the graph to one of the listed functions. - $Match the graph to one of the listed functions. - A) f ( x ) = x ^ { 2 } - 4 x B) f ( x ) = x ^ { 2 } - 4 C) f ( x ) = - x ^ { 2 } - 4 D) f ( x ) = - x ^ { 2 } - 4 x$

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. - $\begin{array} { l | l l l l l } \mathrm { x } & 6 & 8 & 20 & 28 & 36 \\\hline \mathrm { y } & 2 & 4 & 13 & 20 & 30\end{array}$

Determine the quadratic function whose graph is given. -A flare fired from the bottom of a gorge is visible only when the flare is above the rim. If it is fired with an initial velocity of 112 ft/sec, and the gorge is 160 ft deep, during what interval can the flare be seen? (h = -16t² + vot + ho.)

Exam 2: Linear and Quadratic Functions

Find the complex zeros of the quadratic function. Solve the inequality. Express your answer using interval notation. Graph the solution set. - ∣x∣>4|x|>4∣x∣>4

Find the zero of the linear function. -h(x) = 13 - x

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. - x034512y826912\begin{array} { l | l l l l l } \mathrm { x } & 0 & 3 & 4 & 5 & 12 \\\hline \mathrm { y } & 8 & 2 & 6 & 9 & 12\end{array}xy​08​32​46​59​1212​​

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. - x13579y1431161009890\begin{array} { c | c c c c c } x & 1 & 3 & 5 & 7 & 9 \\\hline y & 143 & 116 & 100 & 98 & 90\end{array}xy​1143​3116​5100​798​990​​

Solve f(x) = g(x) . Find the points of intersection of the graphs of the two functions. -f(x) = 6x + 7 g(x) =x2g ( x ) = x ^ { 2 }g(x) =x2

Solve the problem. -The following scatter diagram shows heights (in inches) of children and their ages. Age (years) What happens to height as age increases?

Find the complex zeros of the quadratic function. Solve the inequality. Express your answer using interval notation. Graph the solution set. - ∣x−∣6∣>14| x - | 6 \mid > 14∣x−∣6∣>14

Determine the domain and the range of the function. - f(x) =−11x2−2x−8f ( x ) = - 11 x ^ { 2 } - 2 x - 8f(x) =−11x2−2x−8

Find the vertex and axis of symmetry of the graph of the function. -f(x) =x2 +12x+36

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

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

Find the complex zeros of the quadratic function. Solve the inequality. Express your answer using interval notation. Graph the solution set. - ∣4x∣<16| 4 x | < 16∣4x∣<16

Use factoring to find the zeros of the quadratic function. List the x-intercepts of the graph of the function. - f(x) =x2−64f ( x ) = x ^ { 2 } - 64f(x) =x2−64

Use the slope and y-intercept to graph the linear function. - F(x) =12xF ( x ) = \frac { 1 } { 2 } xF(x) =21​x

Match the graph to one of the listed functions. -

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. - x68202836y24132030\begin{array} { l | l l l l l } \mathrm { x } & 6 & 8 & 20 & 28 & 36 \\\hline \mathrm { y } & 2 & 4 & 13 & 20 & 30\end{array}xy​62​84​2013​2820​3630​​

Determine the quadratic function whose graph is given. -A flare fired from the bottom of a gorge is visible only when the flare is above the rim. If it is fired with an initial velocity of 112 ft/sec, and the gorge is 160 ft deep, during what interval can the flare be seen? (h = -16t2 + vot + ho.)