Question 1

Find the real zeros of the function. List the x-intercepts of the graph of the function.
-$$P ( x ) = ( 2 x - 5 ) ^ { 2 } - 8 ( 2 x - 5 ) + 12$$

Accepted Answer

A)  $x = - \frac { 1 } { 5 } , x = \frac { 3 } { 2 }$ 
B)  $x = - \frac { 11 } { 2 } , x = - \frac { 7 } { 2 }$ 
C)  $x = \frac { 11 } { 2 } , x = \frac { 7 } { 2 }$ 
D)  $x = \frac { 1 } { 2 } , x = - \frac { 3 } { 2 }$ 
A)  $x = - \frac { 1 } { 5 } , x = \frac { 3 } { 2 }$ 
B)  $x = - \frac { 11 } { 2 } , x = - \frac { 7 } { 2 }$ 
C)  $x = \frac { 11 } { 2 } , x = \frac { 7 } { 2 }$ 
D)  $x = \frac { 1 } { 2 } , x = - \frac { 3 } { 2 }$

Question 2

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

Accepted Answer

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

Question 3

Solve the problem.
-The following data represents the amount of money Tom is saving each month since he graduated from college. $$\begin{array} { l | l c c c c c c } 
\text { month } & 1 & 2 & 3 & 4 & 5 & 6 & 7 \
\hline \text { savings } & \$ 52 & \$ 70 & \$ 81 & \$ 91 & \$ 102 & \$ 118 & \$ 132
\end{array}$$ Find the slope of the line of best fit for the data set and interpret it.

Accepted Answer

The slope is 12.75 w

Question 4

Use factoring to find the zeros of the quadratic function. List the x-intercepts of the graph of the function.
-$$y ( x ) = x ^ { 2 } - 5 x - 14$$

Accepted Answer

A)  x = 2, x = -7 
B)  x = 2, x = 7 
C)  x = - 2, x = 7 
D)  x = -14, x = 0 
A)  x = 2, x = -7 
B)  x = 2, x = 7 
C)  x = - 2, x = 7 
D)  x = -14, x = 0

Question 5

Match the graph to one of the listed functions.
-

Accepted Answer

A)  $f ( x ) = x ^ { 2 } - 2 x$ 
B)  $f ( x ) = x ^ { 2 } + 2 x - 1$ 
C)  $f ( x ) = x ^ { 2 } - 2 x - 1$ 
D)  $f ( x ) = x ^ { 2 } + 2 x$ 
A)  $f ( x ) = x ^ { 2 } - 2 x$ 
B)  $f ( x ) = x ^ { 2 } + 2 x - 1$ 
C)  $f ( x ) = x ^ { 2 } - 2 x - 1$ 
D)  $f ( x ) = x ^ { 2 } + 2 x$

Question 6

Determine the quadratic function whose graph is given.
-The quadratic function f(x) = 0.0041x2 - 0.48x + 36.42 models the median, or average, age, y, at which U.S. men were first married x years after 1900. In which year was this average age at a minimum? (Round to the nearest
Year.) What was the average age at first marriage for that year? (Round to the nearest tenth.)

Accepted Answer

A)  1954, 36 years old 
B)  1959, 50.5 years old 
C)  1936, 50.5 years old 
D)  1959, 22.4 years old 
A)  1954, 36 years old 
B)  1959, 50.5 years old 
C)  1936, 50.5 years old 
D)  1959, 22.4 years old

Question 7

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)  (( - \infty , 4 ]\)

Question 8

Solve the problem.
-Regrind, Inc. regrinds used typewriter platens. The variable cost per platen is $1.50. The total cost to regrind 70 platens is $400. Find the linear cost function to regrind platens. If reground platens sell for $8.40 each, how
Many must be reground and sold to break even?

Accepted Answer

A)  C(x) = 1.50x + 295; 30 platens 
B)  C(x) = 1.50x + 400; 41 platens 
C)  C(x) = 1.50x + 295; 43 platens 
D)  C(x) = 1.50x + 400; 58 platens 
A)  C(x) = 1.50x + 295; 30 platens 
B)  C(x) = 1.50x + 400; 41 platens 
C)  C(x) = 1.50x + 295; 43 platens 
D)  C(x) = 1.50x + 400; 58 platens

Question 9

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

Accepted Answer

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

Question 10

Determine the quadratic function whose graph is given.
-A projectile is thrown upward so that its distance above the ground after t seconds is h = -10t2 + 320t. After how many seconds does it reach its maximum height?

Accepted Answer

A)  24 s 
B)  8 s 
C)  16 s 
D)  32 s 
A)  24 s 
B)  8 s 
C)  16 s 
D)  32 s

Question 11

Determine the quadratic function whose graph is given.
-The number of mosquitoes M(x), in millions, in a certain area depends on the June rainfall x, in inches: M(x) = 12x - x2 . What rainfall produces the maximum number of mosquitoes?

Accepted Answer

A)  6 in. 
B)  0 in. 
C)  12 in. 
D)  144 in. 
A)  6 in. 
B)  0 in. 
C)  12 in. 
D)  144 in.

Question 12

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary.
-$$\begin{array} { c | c c c c c } 
x & 3 & 5 & 7 & 15 & 16 \
\hline y & 8 & 11 & 7 & 14 & 20
\end{array}$$

Accepted Answer

A)  y = 0.75x + 4.07 
B)  y = 0.85x + 3.07 
C)  y = 0.95x + 3.07 
D)  y = 0.75x + 5.07 
A)  y = 0.75x + 4.07 
B)  y = 0.85x + 3.07 
C)  y = 0.95x + 3.07 
D)  y = 0.75x + 5.07

Question 13

Determine the slope and y-intercept of the function.
-$$F ( x ) = \frac { 1 } { 4 } x$$

Accepted Answer

A)  $\mathrm { m } = 0 ; \mathrm { b } = \frac { 1 } { 4 }$ 
B)  $\mathrm { m } = 4 ; \mathrm { b } = 0$ 
C)  $\mathrm { m } = \frac { 1 } { 4 } ; \mathrm { b } = 0$ 
D)  $\mathrm { m } = - \frac { 1 } { 4 } ; \mathrm { b } = 0$ 
A)  $\mathrm { m } = 0 ; \mathrm { b } = \frac { 1 } { 4 }$ 
B)  $\mathrm { m } = 4 ; \mathrm { b } = 0$ 
C)  $\mathrm { m } = \frac { 1 } { 4 } ; \mathrm { b } = 0$ 
D)  $\mathrm { m } = - \frac { 1 } { 4 } ; \mathrm { b } = 0$

Question 14

Find the real zeros of the function. List the x-intercepts of the graph of the function.
-$$Q ( x ) = ( - 3 x - 6 ) ^ { 2 } + 3 ( - 3 x - 6 ) - 10$$

Accepted Answer

A)  $x = - \frac { 8 } { 3 } , x = - \frac { 1 } { 3 }$ 
B)  $x = \frac { 4 } { 3 } , x = \frac { 11 } { 3 }$ 
C)  $x = 2 , x = - 5$ 
D)  $x = \frac { 8 } { 3 } , x = \frac { 1 } { 3 }$ 
A)  $x = - \frac { 8 } { 3 } , x = - \frac { 1 } { 3 }$ 
B)  $x = \frac { 4 } { 3 } , x = \frac { 11 } { 3 }$ 
C)  $x = 2 , x = - 5$ 
D)  $x = \frac { 8 } { 3 } , x = \frac { 1 } { 3 }$

Question 15

Solve the problem.
-To convert a temperature from degrees Celsius to degrees Fahrenheit, you multiply the temperature in degrees Celsius by 1.8 and then add 32 to the result. Express F as a linear function of c.

Accepted Answer

A)  F(c) = 1.8 + 32c 
B)  F(c) =  $\frac { \mathrm { c } - 32 } { 1.8 }$ 
C)  F(c) = 1.8c + 32 
D)  F(c) = 33.8c 
A)  F(c) = 1.8 + 32c 
B)  F(c) =  $\frac { \mathrm { c } - 32 } { 1.8 }$ 
C)  F(c) = 1.8c + 32 
D)  F(c) = 33.8c

Question 16

Use a graphing calculator to plot the data and find the quadratic function of best fit.
-An engineer collects data showing the speed s of a given car model and its average miles per gallon M. Use a graphing calculator to plot the scatter diagram. What is the quadratic function of best fit? $$\begin{array} { l | l } 
\text { Speed, s } & \text { mph, M } \
\hline 20 & 18 \
30 & 20 \
40 & 23 \
50 & 25 \
60 & 28 \
70 & 24 \
80 & 22
\end{array}$$

Accepted Answer

A)  M(s) = 0.063x2 + 0.720x + 5.142 
B)  M(s) = -0.631x2 + 0.720x + 5.142 
C)  M(s) = -0.0063x2 + 0.720x + 5.142 
D)  M(s) = -6.309x2 + 0.720x + 5.142 
A)  M(s) = 0.063x2 + 0.720x + 5.142 
B)  M(s) = -0.631x2 + 0.720x + 5.142 
C)  M(s) = -0.0063x2 + 0.720x + 5.142 
D)  M(s) = -6.309x2 + 0.720x + 5.142

Question 17

Solve the problem.
-As part of a physics experiment, Ming drops a baseball from the top of a 310-foot building. To the nearest tenth of a second, for how many seconds will the baseball fall? (Hint: Use the formula h = 16t2, which gives the distance h, in feet, that a free-falling object travels in t seconds.)

Accepted Answer

A)  19.4 sec 
B)  1.1 sec 
C)  77.5 sec 
D)  4.4 sec 
A)  19.4 sec 
B)  1.1 sec 
C)  77.5 sec 
D)  4.4 sec

Question 18

Determine the slope and y-intercept of the function.
-p(x) = -x + 6

Accepted Answer

A)  m = 0; b = 6 
B)  m =1; b = - 6 
C)  m = -1; b =6 
D)  m = -1; b = - 6 
A)  m = 0; b = 6 
B)  m =1; b = - 6 
C)  m = -1; b =6 
D)  m = -1; b = - 6

Question 19

Find the zero of the linear function.
-g(x) = 6x - 30

Accepted Answer

A)  -30 
B)  0 
C)  -5 
D)  5 
A)  -30 
B)  0 
C)  -5 
D)  5

Question 20

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.
-$$\mathrm { G } ( \mathrm { x } ) = \mathrm { x } ^ { 2 } + 4 \mathrm { x } - 12$$

Accepted Answer

A)  $x = 6 , x = - 2$ 
B)  $x = - 6 , x = 2$ 
C)  $x = - 6 , x = - 2$ 
D)  $x = 6 , x = 2$ 
A)  $x = 6 , x = - 2$ 
B)  $x = - 6 , x = 2$ 
C)  $x = - 6 , x = - 2$ 
D)  $x = 6 , x = 2$

Find the real zeros of the function. List the x-intercepts of the graph of the function. - $P ( x ) = ( 2 x - 5 ) ^ { 2 } - 8 ( 2 x - 5 ) + 12$

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

Solve the problem. -The following data represents the amount of money Tom is saving each month since he graduated from college. month 1 2 3 4 5 6 7 savings \ 52 \ 70 \ 81 \ 91 \ 102 \ 118 \ 132 Find the slope of the line of best fit for the data set and interpret it.

Use factoring to find the zeros of the quadratic function. List the x-intercepts of the graph of the function. - $y ( x ) = x ^ { 2 } - 5 x - 14$

Match the graph to one of the listed functions. -

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

Solve the problem. -Regrind, Inc. regrinds used typewriter platens. The variable cost per platen is $1.50. The total cost to regrind 70 platens is $400. Find the linear cost function to regrind platens. If reground platens sell for $8.40 each, how Many must be reground and sold to break even?

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

Determine the quadratic function whose graph is given. -A projectile is thrown upward so that its distance above the ground after t seconds is h = -10t² + 320t. After how many seconds does it reach its maximum height?

Determine the quadratic function whose graph is given. -The number of mosquitoes M(x), in millions, in a certain area depends on the June rainfall x, in inches: M(x) = 12x - x² . What rainfall produces the maximum number of mosquitoes?

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. - x 3 5 7 15 16 y 8 11 7 14 20

Determine the slope and y-intercept of the function. - $F ( x ) = \frac { 1 } { 4 } x$

Find the real zeros of the function. List the x-intercepts of the graph of the function. - $Q ( x ) = ( - 3 x - 6 ) ^ { 2 } + 3 ( - 3 x - 6 ) - 10$

Solve the problem. -To convert a temperature from degrees Celsius to degrees Fahrenheit, you multiply the temperature in degrees Celsius by 1.8 and then add 32 to the result. Express F as a linear function of c.

Determine the slope and y-intercept of the function. -p(x) = -x + 6

Find the zero of the linear function. -g(x) = 6x - 30

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. - $\mathrm { G } ( \mathrm { x } ) = \mathrm { x } ^ { 2 } + 4 \mathrm { x } - 12$

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 real zeros of the function. List the x-intercepts of the graph of the function. - P(x)=(2x−5)2−8(2x−5)+12P ( x ) = ( 2 x - 5 ) ^ { 2 } - 8 ( 2 x - 5 ) + 12P(x)=(2x−5)2−8(2x−5)+12

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