Question 1

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

Accepted Answer

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

Question 2

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 3

Find the zero of the linear function.
-f(x) = x + 8

Accepted Answer

A)  8 
B)  0 
C)  -8 
D)  16 
A)  8 
B)  0 
C)  -8 
D)  16

Question 4

Find the vertex and axis of symmetry of the graph of the function.
-f(x) =-x2-4x+3

Accepted Answer

A)  vertex $( 2,1 )$
intercepts $( 1,0 ) , ( 3,0 ) , ( 0 , - 3 )$
  
B)  vertex $( - 2 , - 1 )$
intercepts $( - 1,0 ) , ( - 3,0 ) , ( 0,3 )$
  
C)  vertex $( 2 , - 1 )$
intercepts $( 1,0 ) , ( 3,0 ) , ( 0,3 )$
  
D)  vertex $( - 2,1 )$
intercepts $( - 1,0 ) , ( - 3,0 ) , ( 0 , - 3 )$
  
A)  vertex $( 2,1 )$
intercepts $( 1,0 ) , ( 3,0 ) , ( 0 , - 3 )$
  
B)  vertex $( - 2 , - 1 )$
intercepts $( - 1,0 ) , ( - 3,0 ) , ( 0,3 )$
  
C)  vertex $( 2 , - 1 )$
intercepts $( 1,0 ) , ( 3,0 ) , ( 0,3 )$
  
D)  vertex $( - 2,1 )$
intercepts $( - 1,0 ) , ( - 3,0 ) , ( 0 , - 3 )$

Question 5

Solve the problem.
-A lumber yard has fixed costs of $1384.90 per day and variable costs of $0.56 per board-foot produced. Lumber sells for $1.66 per board-foot. How many board-feet must be produced and sold daily to break even?

Accepted Answer

A)  623 board-feet 
B)  2473 board-feet 
C)  1259 board-feet 
D)  839 board-feet 
A)  623 board-feet 
B)  2473 board-feet 
C)  1259 board-feet 
D)  839 board-feet

Question 6

Solve the problem.
-If an object is dropped off of a tower, the velocity, V, of the object after t seconds can be obtained by multiplying t by 32 and adding 10 to the result. Express V as a linear function of t.

Accepted Answer

A)  V(t) = 42t 
B)  V(t) = 32 + 10t 
C)  V(t) = 32t + 10 $$\text { 
D)  } V ( t ) = \frac { t - 10 } { 32 }$$ 
A)  V(t) = 42t 
B)  V(t) = 32 + 10t 
C)  V(t) = 32t + 10 $$\text { 
D)  } V ( t ) = \frac { t - 10 } { 32 }$$

Question 7

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary.
-$$\begin{array} { l | c c c c c } 
\mathrm { x } & 24 & 26 & 28 & 30 & 32 \
\hline \mathrm { y } & 15 & 13 & 20 & 16 & 24
\end{array}$$

Accepted Answer

A)  y = 1.05x + 11.8 
B)  y = 1.05x - 11.8 
C)  y = 0.95x - 11.8 
D)  y = 0.95x + 11.8 
A)  y = 1.05x + 11.8 
B)  y = 1.05x - 11.8 
C)  y = 0.95x - 11.8 
D)  y = 0.95x + 11.8

Question 8

Solve the problem.
-Northwest Molded molds plastic handles which cost $0.50 per handle to mold. The fixed cost to run the molding machine is $7200 per week. If the company sells the handles for $3.50 each, how many handles must be
Molded and sold weekly to break even?

Accepted Answer

A)  1800 handles 
B)  14,400 handles 
C)  1600 handles 
D)  2400 handles 
A)  1800 handles 
B)  14,400 handles 
C)  1600 handles 
D)  2400 handles

Question 9

Find the zero of the linear function.
-g(x) = -x + 2

Accepted Answer

A)  0 
B)  -4 
C)  -2 
D)  2 
A)  0 
B)  -4 
C)  -2 
D)  2

Question 10

Solve f(x) = g(x). Find the points of intersection of the graphs of the two functions.
-$$\begin{array} { l } 
f ( x ) = x ^ { 2 } - 12 x + 27 \
g ( x ) = 2 x ^ { 2 } - 12 x + 18
\end{array}$$

Accepted Answer

A)  $x = 3 , x = - 3$ 
B)  $x = \frac { 1 } { 3 } , x = - 3$ 
C)  $x = - \frac { \sqrt { 10 } } { 2 } , x = \frac { \sqrt { 10 } } { 2 }$ 
D)  $x = - \frac { \sqrt { 18 } } { 2 } , x = \frac { \sqrt { 18 } } { 2 }$ 
A)  $x = 3 , x = - 3$ 
B)  $x = \frac { 1 } { 3 } , x = - 3$ 
C)  $x = - \frac { \sqrt { 10 } } { 2 } , x = \frac { \sqrt { 10 } } { 2 }$ 
D)  $x = - \frac { \sqrt { 18 } } { 2 } , x = \frac { \sqrt { 18 } } { 2 }$

Question 11

Use a graphing calculator to plot the data and find the quadratic function of best fit.
-The number of housing starts in one beachside community remained fairly level until 1992 and then began to increase. The following data shows the number of housing starts since 1992 (x = 1). Use a graphing calculator to
Plot a scatter diagram. What is the quadratic function of best fit? $$\begin{array} { l | l } 
\text { Year, x } & \text { Housing Starts, H } \
\hline 1 & 200 \
2 & 205 \
3 & 210 \
4 & 240 \
5 & 245 \
6 & 230 \
7 & 220 \
8 & 210
\end{array}$$

Accepted Answer

A)  H(x) = -2.679x2 + 26.607x - 168.571 
B)  H(x) = -2.679x2 + 26.607x + 168.571 
C)  H(x) = 2.679x2 + 26.607x + 168.571 
D)  H(x) = -2.679x2 - 26.607x + 168.571 
A)  H(x) = -2.679x2 + 26.607x - 168.571 
B)  H(x) = -2.679x2 + 26.607x + 168.571 
C)  H(x) = 2.679x2 + 26.607x + 168.571 
D)  H(x) = -2.679x2 - 26.607x + 168.571

Question 12

Use factoring to find the zeros of the quadratic function. List the x-intercepts of the graph of the function.
-$$h ( x ) = x ^ { 2 } + 5 x - 50$$

Accepted Answer

A)  x = -10, x = 5 
B)  x = 10, x = 5 
C)  x = 10, x = -5 
D)  x = -10, x = 1 
A)  x = -10, x = 5 
B)  x = 10, x = 5 
C)  x = 10, x = -5 
D)  x = -10, x = 1

Question 13

Determine the quadratic function whose graph is given.
-  Vertex: $( 1,4 )$
$y$-intercept: $( 0,3 )$

Accepted Answer

A)  $f ( x ) = x ^ { 2 } - 4 x + 3$ 
B)  $f ( x ) = - x ^ { 2 } + 2 x - 3$ 
C)  $f ( x ) = - x ^ { 2 } - 4 x + 3$ 
D)  $f ( x ) = - x ^ { 2 } + 2 x + 3$ 
A)  $f ( x ) = x ^ { 2 } - 4 x + 3$ 
B)  $f ( x ) = - x ^ { 2 } + 2 x - 3$ 
C)  $f ( x ) = - x ^ { 2 } - 4 x + 3$ 
D)  $f ( x ) = - x ^ { 2 } + 2 x + 3$

Question 14

Determine the domain and the range of the function.
-$$f ( x ) = - x ^ { 2 } - 10 x$$

Accepted Answer

A)  domain: {x|x≤5} 
B)  domain: all real numbers range: {y|y ≤25} range: {y|y ≤25} 
C)  domain: all real numbers 
D)  domain: {x|x ≤-5} range: {y|y ≤-25} range: {y|y ≤25} 
A)  domain: {x|x≤5} 
B)  domain: all real numbers range: {y|y ≤25} range: {y|y ≤25} 
C)  domain: all real numbers 
D)  domain: {x|x ≤-5} range: {y|y ≤-25} range: {y|y ≤25}

Question 15

Use a graphing calculator to plot the data and find the quadratic function of best fit.
-A rock is dropped from a tall building and its distance (in feet) below the point of release is recorded as accurately as possible at various times after the moment of release. The results are shown in the table. Find the
Regression equation of the best model. $$\begin{array} { l | l l l l l l } 
\mathrm { x } \text { (seconds after release) } & 1 & 2 & 3 & 4 & 5 & 6 \
\hline \mathrm { y } \text { (distance in feet) } & 16 & 63 & 146 & 255 & 403 & 572
\end{array}$$

Accepted Answer

A)  y = 15.95x2 
B)  y = 13.0 e0.686x 
C)  y = -74.9 + 290 lnx 
D)  y = - 148.4 + 112x 
A)  y = 15.95x2 
B)  y = 13.0 e0.686x 
C)  y = -74.9 + 290 lnx 
D)  y = - 148.4 + 112x

Question 16

Find the real zeros of the function. List the x-intercepts of the graph of the function.
-$f ( x ) = x ^ { 4 } - 16$

Accepted Answer

A)  $x = - 4 , x = 4$ 
B)  $x = - \sqrt { 2 } , x = \sqrt { 2 }$ 
C)  $x = - 2 , x = 2$ 
D)  no real solution 
A)  $x = - 4 , x = 4$ 
B)  $x = - \sqrt { 2 } , x = \sqrt { 2 }$ 
C)  $x = - 2 , x = 2$ 
D)  no real solution

Question 17

Solve the problem.
-The following data represents the amount of money Tom is saving each month since he graduated from college. $$\begin{array} { l | c c c c c c c } 
\text { month } & 1 & 2 & 3 & 4 & 5 & 6 & 7 \
\hline \text { savings } & \$ 52 & \$ 70 & \$ 81 & \$ 91 & \$ 102 & \$ 118 & \$ 132
\end{array}$$ Using the line of best fit for the data set, predict the amount he will save in the 24th month after graduating
from college.

Accepted Answer

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

Question 18

Graph the function f by starting with the graph of y = xS1U1P12S1S1P0 and using transformations (shifting, compressing, stretching,
and/or reflection).
-f(x)=x2-1

Accepted Answer

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

Question 19

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary.
-Managers rate employees according to job performance and attitude. The results for several randomly selected employees are given below.

Accepted Answer

A)  y = 11.7 + 1.02x 
B)  y = 92.3 - 0.669x 
C)  y = -47.3 + 2.02x 
D)  y = 2.81 + 1.35x 
A)  y = 11.7 + 1.02x 
B)  y = 92.3 - 0.669x 
C)  y = -47.3 + 2.02x 
D)  y = 2.81 + 1.35x

Question 20

Determine the domain and the range of the function.
-$f ( x ) = - x ^ { 2 } - 4 x + 5$

Accepted Answer

A)  domain: {x|x ≤-2} 
B)  domain: all real numbers range: {y|y ≤9} range: {y|y ≤-9} 
C)  domain: {x|x ≤-2}. 
D)  domain: all real numbers range: {y|y ≤-9} range: {y|y ≤9} 
A)  domain: {x|x ≤-2} 
B)  domain: all real numbers range: {y|y ≤9} range: {y|y ≤-9} 
C)  domain: {x|x ≤-2}. 
D)  domain: all real numbers range: {y|y ≤-9} range: {y|y ≤9}

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

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

Find the zero of the linear function. -f(x) = x + 8

Find the vertex and axis of symmetry of the graph of the function. -f(x) =-x²-4x+3

Solve the problem. -A lumber yard has fixed costs of $1384.90 per day and variable costs of $0.56 per board-foot produced. Lumber sells for $1.66 per board-foot. How many board-feet must be produced and sold daily to break even?

Solve the problem. -If an object is dropped off of a tower, the velocity, V, of the object after t seconds can be obtained by multiplying t by 32 and adding 10 to the result. Express V as a linear function of t.

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. - 24 26 28 30 32 15 13 20 16 24

Solve the problem. -Northwest Molded molds plastic handles which cost $0.50 per handle to mold. The fixed cost to run the molding machine is $7200 per week. If the company sells the handles for $3.50 each, how many handles must be Molded and sold weekly to break even?

Find the zero of the linear function. -g(x) = -x + 2

Solve f(x) = g(x). Find the points of intersection of the graphs of the two functions. - f(x)=-12x+27 g(x)=2-12x+18

Use factoring to find the zeros of the quadratic function. List the x-intercepts of the graph of the function. - $h ( x ) = x ^ { 2 } + 5 x - 50$

Determine the quadratic function whose graph is given. - Vertex: $( 1,4 )$ $y$ -intercept: $( 0,3 )$

Determine the domain and the range of the function. - $f ( x ) = - x ^ { 2 } - 10 x$

Find the real zeros of the function. List the x-intercepts of the graph of the function. - $f ( x ) = x ^ { 4 } - 16$

Graph the function f by starting with the graph of y = x² and using transformations (shifting, compressing, stretching, and/or reflection). -f(x)=x²-1

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. -Managers rate employees according to job performance and attitude. The results for several randomly selected employees are given below.

Determine the domain and the range of the function. - $f ( x ) = - x ^ { 2 } - 4 x + 5$

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