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 $( 0 , - 6 )$
  
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 
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} 
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 
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 
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 
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 
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 
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)  $- \frac { 3 } { 7 }$ 
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

Latitude (degrees) @#IMG-DLM&

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 
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)  $x = - 2 , x = 4$ 
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 
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 
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 
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) 
  
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 
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 
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)  $\frac { 7 } { 3 }$ 
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...

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. - $f ( x ) = - x ^ { 2 } + 4 x - 3$

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. - x y=f(x) 3 15 7 35 11 55 15 75

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

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. - $G ( x ) = - \frac { 1 } { 3 } x - 7$

Solve the problem. -The following data represents the number of employees at a company at the start of each year since the company began. month 1 2 3 4 5 6 7 number 3 172 403 571 823 1061 1194 Using the line of best fit for the data set, predict the number of employees at the start of the 10th year.

Functions and Their Graphs

Polynomial and Rational Functions

Conics

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

Filters

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. - x y=f(x) 3 15 7 35 11 55 15 75

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

Functions and Their Graphs

Polynomial and Rational Functions

Conics

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

Filters

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

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. - $G ( x ) = x ^ { 4 } - 19 x ^ { 2 } - 150$

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

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