Question 1

Find the vertex and axis of symmetry of the graph of the function.
-f(x) =-2x2-4x-6

Accepted Answer

A)  vertex $( - 1 , - 4 )$
intercept $( 0 , - 6 )$
 
B)  vertex $( 1 , - 4 )$
intercept $\left( 0 , - \frac { 9 } { 2 } \right)$
 
C)  vertex $( - 1 , - 4 )$
intercept $\left( 0 , - \frac { 9 } { 2 } \right)$
 
D)  vertex $( 1 , - 4 )$
intercept $( 0 , - 6 )$

Question 2

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

Accepted Answer

A)  nonlinear 
B)  linear 
C)  none

Question 3

Determine the domain and the range of the function.
-$$f ( x ) = - x ^ { 2 } + 4 x - 3$$

Accepted Answer

A)  domain: all real numbers 
B)  domain: all real numbers range: {y|y ≤1} range: all real numbers 
C)  domain: {x|x ≤-2} 
D)  domain: all real numbers range: {y|y ≤1} range: {y|y ≤-1}

Question 4

Find the real zeros of the function. List the x-intercepts of the graph of the function.
-$$G ( x ) = x ^ { 4 } - 19 x ^ { 2 } - 150$$

Accepted Answer

A)  $x = - 5 , x = 5$ 
B)  $x = - 25 , x = 6$ 
C)  $x = - \sqrt { 6 } , x = \sqrt { 6 }$ 
D)  no real solution

Question 5

Determine the slope and y-intercept of the function.
-G(x) = -2x

Accepted Answer

A)  m = 2; b = 0 
B)  m = -2; b = 0 
C)  m = 1 ; b = 0 
D)  m = 0; b = -2 - 2

Question 6

Solve the problem.
-Marty's Tee Shirt & Jacket Company is to produce a new line of jackets with an embroidery of a Great Pyrenees dog on the front. There are fixed costs of $580 to set up for production, and variable costs of $39 per jacket. Write
An equation that can be used to determine the total cost, C(x), encountered by Marty's Company in producing x
Jackets.

Accepted Answer

A)  C(x) = (580 + 39) x 
B)  C(x) = 580x + 39 
C)  C(x) = 580 - 39x 
D)  C(x) = 580 + 39x

Question 7

Determine whether the given function is linear or nonlinear.
-$$\begin{array} { c | c } 
x & y = f ( x ) \
\hline 3 & 15 \
7 & 35 \
11 & 55 \
15 & 75
\end{array}$$

Accepted Answer

A)  linear 
B)  nonlinear

Question 8

Find the real zeros of the function. List the x-intercepts of the graph of the function.
-$$h ( x ) = 2 x ^ { 4 } - 159 x ^ { 2 } - 243$$

Accepted Answer

A)  $x = - \frac { \sqrt { 6 } } { 2 } , x = \frac { \sqrt { 6 } } { 2 } , x = - 9 , x = 9$ 
B)  $x = - 9 , x = 9$ 
C)  x = 9 
D)  no real solution

Question 9

Find the zero of the linear function.
-$$F ( x ) = \frac { 1 } { 7 } x - 3$$

Accepted Answer

A)  21 
B)  $- 21$ 
C)  $\frac { 3 } { 7 }$ 
D)  $- \frac { 3 } { 7 }$

Question 10

Plot and interpret the appropriate scatter diagram.
-The one-day temperatures for 12 world cities along with their latitudes are shown in the table below. Make a
scatter diagram for the data. Describe what happens to the one-day temperatures as the latitude increases. $$\begin{array} { c | c | c } 
\text { City } & \text { Temperature (F) } & \text { Latitude } \
\hline \text { Oslo, Norway } & 30 ^ { \circ } & 59 ^ { \circ } \
\text { Seattle, WA } & 57 ^ { \circ } & 47 ^ { \circ } \
\text { Anchorage, AK } & 40 ^ { \circ } & 61 ^ { \circ } \
\text { Paris, France } & 61 ^ { \circ } & 48 ^ { \circ } \
\text { Vancouver, Canada } & 54 ^ { \circ } & 49 ^ { \circ } \
\text { London, England } & 48 ^ { \circ } & 51 ^ { \circ } \
\text { Tokyo, Japan } & 55 ^ { \circ } & 35 ^ { \circ } \
\text { Cairo, Egypt } & 82 ^ { \circ } & 30 ^ { \circ } \
\text { Mexico City, Mexico } & 84 ^ { \circ } & 19 ^ { \circ } \
\text { Miami, FL } & 81 ^ { \circ } & 25 ^ { \circ } \
\text { New Delhi, India } & 95 ^ { \circ } & 28 ^ { \circ } \
\text { Manila, Philippines } & 93 ^ { \circ } & 14 ^ { \circ }
\end{array}$$ Latitude (degrees)  Temperature (F)°

Accepted Answer

The answer of Plot and interpret the appropriate scatter diagram.
-The...

Question 11

Determine the slope and y-intercept of the function.
-f(x) = 5x - 10

Accepted Answer

A)  m = 5; b = 10 
B)  m = -5; b = -10 
C)  m = -5; b = 10 
D)  m = 5; b = -10

Question 12

Find the real zeros, if any, of each quadratic function using the quadratic formula. List the x-intercepts, if any, of the
graph of the function.
-$$f ( x ) = 5 x ^ { 2 } - 18 x - 8$$

Accepted Answer

A)  $x = - \frac { 2 } { 5 } , x = 4$ 
B)  $x = \frac { 2 } { 5 } , x = - 4$ 
C)  $x = - \frac { 4 } { 5 } , x = 8$ 
D)  $x = - 2 , x = 4$

Question 13

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

Accepted Answer

A)  linear 
B)  nonlinear 
C)  none

Question 14

Find the real zeros, if any, of each quadratic function using the quadratic formula. List the x-intercepts, if any, of the
graph of the function.
-$$g ( x ) = x ^ { 2 } - 15 - 3 x$$

Accepted Answer

A)  $x = \frac { 3 + \sqrt { 69 } } { 2 }$ 
B)  $x = 3 , x = 15$ 
C)  $x = \frac { 3 \pm \sqrt { 69 } } { 2 }$ 
D)  No real zeros or x-intercepts

Question 15

Solve the problem.
-The following scatter diagram shows heights (in inches) of children and their ages. $$\text { Height (inches) }$$

Age (years) Based on this data, how old do you think a child is who is about 39 inches tall?

Accepted Answer

A)  1 year 
B)  7 years 
C)  3 months 
D)  3 years

Question 16

Use the slope and y-intercept to graph the linear function.
-$f ( x ) = \frac { 3 } { 5 } x - 1$

Accepted Answer

A) 
 
B) 
 
C) 
 
D)

Question 17

Find the zero of the linear function.
-f(x) = 9x + 36

Accepted Answer

A)  -4 
B)  0 
C)  36 
D)  4

Question 18

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

Accepted Answer

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

Question 19

Find the zero of the linear function.
-$$G ( x ) = - \frac { 1 } { 3 } x - 7$$

Accepted Answer

A)  $- \frac { 7 } { 3 }$ 
B)  21 
C)  $- 21$ 
D)  $\frac { 7 } { 3 }$

Question 20

Solve the problem.
-The following data represents the number of employees at a company at the start of each year since the
company began. $$\begin{array} { l | c c c c c c c } 
\text { month } & 1 & 2 & 3 & 4 & 5 & 6 & 7 \
\hline \text { number } & 3 & 172 & 403 & 571 & 823 & 1061 & 1194
\end{array}$$ Using the line of best fit for the data set, predict the number of employees at the start of the 10th year.

Accepted Answer

The answer of Solve the problem.
-The following data represents the...

Exam 2: Linear and Quadratic Functions

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

Determine the domain and the range of the function. - $f ( x ) = - x ^ { 2 } + 4 x - 3$

Find the real zeros of the function. List the x-intercepts of the graph of the function. - $G ( x ) = x ^ { 4 } - 19 x ^ { 2 } - 150$

Determine the slope and y-intercept of the function. -G(x) = -2x

Determine whether the given function is linear or nonlinear. - $\begin{array} { c | c } x & y = f ( x ) \\\hline 3 & 15 \\7 & 35 \\11 & 55 \\15 & 75\end{array}$

Find the real zeros of the function. List the x-intercepts of the graph of the function. - $h ( x ) = 2 x ^ { 4 } - 159 x ^ { 2 } - 243$

Find the zero of the linear function. - $F ( x ) = \frac { 1 } { 7 } x - 3$

Determine the slope and y-intercept of the function. -f(x) = 5x - 10

Find the real zeros, if any, of each quadratic function using the quadratic formula. List the x-intercepts, if any, of the graph of the function. - $f ( x ) = 5 x ^ { 2 } - 18 x - 8$

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

Find the real zeros, if any, of each quadratic function using the quadratic formula. List the x-intercepts, if any, of the graph of the function. - $g ( x ) = x ^ { 2 } - 15 - 3 x$

Use the slope and y-intercept to graph the linear function. - $f ( x ) = \frac { 3 } { 5 } x - 1$ $Use the slope and y-intercept to graph the linear function. - f ( x ) = \frac { 3 } { 5 } x - 1 A) B) C) D)$

Find the zero of the linear function. -f(x) = 9x + 36

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

Find the zero of the linear function. - $G ( x ) = - \frac { 1 } { 3 } x - 7$

Exam 2: Linear and Quadratic Functions

Find the vertex and axis of symmetry of the graph of the function. -f(x) =-2x2-4x-6

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

Determine the domain and the range of the function. - f(x) =−x2+4x−3f ( x ) = - x ^ { 2 } + 4 x - 3f(x) =−x2+4x−3

Find the real zeros of the function. List the x-intercepts of the graph of the function. - G(x) =x4−19x2−150G ( x ) = x ^ { 4 } - 19 x ^ { 2 } - 150G(x) =x4−19x2−150

Determine the slope and y-intercept of the function. -G(x) = -2x

Determine whether the given function is linear or nonlinear. - xy=f(x) 31573511551575\begin{array} { c | c } x & y = f ( x ) \\\hline 3 & 15 \\7 & 35 \\11 & 55 \\15 & 75\end{array}x371115​y=f(x) 15355575​​

Find the real zeros of the function. List the x-intercepts of the graph of the function. - h(x) =2x4−159x2−243h ( x ) = 2 x ^ { 4 } - 159 x ^ { 2 } - 243h(x) =2x4−159x2−243

Find the zero of the linear function. - F(x) =17x−3F ( x ) = \frac { 1 } { 7 } x - 3F(x) =71​x−3

Determine the slope and y-intercept of the function. -f(x) = 5x - 10

Find the real zeros, if any, of each quadratic function using the quadratic formula. List the x-intercepts, if any, of the graph of the function. - f(x) =5x2−18x−8f ( x ) = 5 x ^ { 2 } - 18 x - 8f(x) =5x2−18x−8

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

Find the real zeros, if any, of each quadratic function using the quadratic formula. List the x-intercepts, if any, of the graph of the function. - g(x) =x2−15−3xg ( x ) = x ^ { 2 } - 15 - 3 xg(x) =x2−15−3x

Solve the problem. -The following scatter diagram shows heights (in inches) of children and their ages. Height (inches) \text { Height (inches) } Height (inches) Age (years) Based on this data, how old do you think a child is who is about 39 inches tall?

Use the slope and y-intercept to graph the linear function. - f(x) =35x−1f ( x ) = \frac { 3 } { 5 } x - 1f(x) =53​x−1

Find the zero of the linear function. -f(x) = 9x + 36

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

Find the zero of the linear function. - G(x) =−13x−7G ( x ) = - \frac { 1 } { 3 } x - 7G(x) =−31​x−7

Determine the domain and the range of the function. - $f ( x ) = - x ^ { 2 } + 4 x - 3$

Find the real zeros of the function. List the x-intercepts of the graph of the function. - $G ( x ) = x ^ { 4 } - 19 x ^ { 2 } - 150$

Determine whether the given function is linear or nonlinear. - $\begin{array} { c | c } x & y = f ( x ) \\\hline 3 & 15 \\7 & 35 \\11 & 55 \\15 & 75\end{array}$

Find the real zeros of the function. List the x-intercepts of the graph of the function. - $h ( x ) = 2 x ^ { 4 } - 159 x ^ { 2 } - 243$

Find the zero of the linear function. - $F ( x ) = \frac { 1 } { 7 } x - 3$

Find the real zeros, if any, of each quadratic function using the quadratic formula. List the x-intercepts, if any, of the graph of the function. - $f ( x ) = 5 x ^ { 2 } - 18 x - 8$

Find the real zeros, if any, of each quadratic function using the quadratic formula. List the x-intercepts, if any, of the graph of the function. - $g ( x ) = x ^ { 2 } - 15 - 3 x$

Use the slope and y-intercept to graph the linear function. - $f ( x ) = \frac { 3 } { 5 } x - 1$ $Use the slope and y-intercept to graph the linear function. - f ( x ) = \frac { 3 } { 5 } x - 1 A) B) C) D)$

Find the zero of the linear function. - $G ( x ) = - \frac { 1 } { 3 } x - 7$