Question 1

Use factoring to find the zeros of the quadratic function. List the x-intercepts of the graph of the function.
-$$f ( x ) = x ^ { 2 } + 6 x - 40$$

Accepted Answer

A)  $x = - 10 , x = 1$ 
B)  $x = 10 , x = - 4$ 
C)  $x = 10 , x = 4$ 
D)  $x = - 10 , x = 4$ 
A)  $x = - 10 , x = 1$ 
B)  $x = 10 , x = - 4$ 
C)  $x = 10 , x = 4$ 
D)  $x = - 10 , x = 4$

Question 2

Determine whether the given function is linear or nonlinear.
-$$\begin{array} { c | c } 
x & y = f ( x ) \
\hline 3 & 12 \
5 & 20 \
7 & 28 \
9 & 36
\end{array}$$

Accepted Answer

A)  nonlinear 
B)  linear 
A)  nonlinear 
B)  linear

Question 3

Solve the problem.
-An open box is to be constructed from a square sheet of plastic by removing a square of side 4 inches from each corner, and then turning up the sides. If the box must have a volume of 1,600 cubic inches, find the length of one
Side of the open box.

Accepted Answer

A)  20 in. 
B)  19 in. 
C)  24 in. 
D)  28 in. 
A)  20 in. 
B)  19 in. 
C)  24 in. 
D)  28 in.

Question 4

Solve the problem.
-The owner of a video store has determined that the cost C, in dollars, of operating the store is approximately given by $$C ( x ) = 2 x ^ { 2 } - 32 x + 530$$ , where x is the number of videos rented daily. Find the lowest cost to the nearest
Dollar.

Accepted Answer

A)  $658 
B)  $274 
C)  $402 
D)  $18 
A)  $658 
B)  $274 
C)  $402 
D)  $18

Question 5

Solve the problem.
-The quadratic function $$f ( x ) = 0.0039 x ^ { 2 } - 0.47 x + 36.46$$ 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)  1936, 50.6 years old 
B)  1960, 50.6 years old 
C)  1953, 36 years old 
D)  1960, 22.3 years old 
A)  1936, 50.6 years old 
B)  1960, 50.6 years old 
C)  1953, 36 years old 
D)  1960, 22.3 years old

Question 6

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

Accepted Answer

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

Question 7

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

Question 8

Solve the problem.
-Alan is building a garden shaped like a rectangle with a semicircle attached to one short side along its diameter. The diameter of the semicircle is equal to the width of the short side of the rectangle. If he has 30 feet of fencing to go around the garden, what dimensions will give him the maximum area in the garden?

Accepted Answer

A)  width $= \frac { 60 } { \pi + 4 } \approx 8.4$, length $= 4.2$ 
B)  width $= \frac { 30 } { \pi + 4 } \approx 4.2$, length $= 8.4$ 
C)  width $= \frac { 60 } { \pi + 4 } \approx 8.4$, length $= 10.8$ 
D)  width $= \frac { 60 } { \pi + 8 } \approx 5.4$, length $= 8.1$ 
A)  width $= \frac { 60 } { \pi + 4 } \approx 8.4$, length $= 4.2$ 
B)  width $= \frac { 30 } { \pi + 4 } \approx 4.2$, length $= 8.4$ 
C)  width $= \frac { 60 } { \pi + 4 } \approx 8.4$, length $= 10.8$ 
D)  width $= \frac { 60 } { \pi + 8 } \approx 5.4$, length $= 8.1$

Question 9

Solve the problem.
-You have 336 feet of fencing to enclose a rectangular region. Find the dimensions of the rectangle that maximize the enclosed area.

Accepted Answer

A)  168 ft by 42 ft 
B)  168 ft by 168 ft 
C)  84 ft by 84 ft 
D)  86 ft by 82 ft 
A)  168 ft by 42 ft 
B)  168 ft by 168 ft 
C)  84 ft by 84 ft 
D)  86 ft by 82 ft

Question 10

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

Accepted Answer

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

Question 11

Graph the function. State whether it is increasing, decreasing, or constant..
-$$\begin{array}{l}
g ( x ) = 4 x - 6\

\end{array}$$

A) increasing

Accepted Answer

B)  decreasing
  
C)  increasing
  
D)  decreasing
  
B)  decreasing
  
C)  increasing
  
D)  decreasing

Question 12

Solve the problem.
-An object is propelled vertically upward from the top of a 128-foot building. The quadratic function $$s ( t ) = - 16 t ^ { 2 } + 112 t + 128$$ models the ball's height above the ground, s(t), in feet, t seconds after it was thrown. How many seconds does it take until the object finally hits the ground? Round to the nearest tenth of a second if
Necessary.

Accepted Answer

A)  2 seconds 
B)  1.0 seconds 
C)  3.5 seconds 
D)  8.0 seconds 
A)  2 seconds 
B)  1.0 seconds 
C)  3.5 seconds 
D)  8.0 seconds

Question 13

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.
-$$f ( x ) = 5 x ^ { 2 } - 28 x - 12$$

Accepted Answer

A)  $x = - \frac { 2 } { 5 } , x = 6$ 
B)  $x = - \frac { 4 } { 5 } , x = 12$ 
C)  $x = - 2 , x = 6$ 
D)  $x = \frac { 2 } { 5 } , x = - 6$ 
A)  $x = - \frac { 2 } { 5 } , x = 6$ 
B)  $x = - \frac { 4 } { 5 } , x = 12$ 
C)  $x = - 2 , x = 6$ 
D)  $x = \frac { 2 } { 5 } , x = - 6$

Question 14

Graph the function f by starting with the graph of y $y = x ^ { 2 }$ and using transformations (shifting, compressing, stretching,
and/or reflection).
-$f(x)=-x^{2}+10 x-24$

A)

Accepted Answer

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

Question 15

Solve the inequality. Express your answer using interval notation. Graph the solution set.
-$$| 7 k - 9 | - 9 > - 5$$

Accepted Answer

A)  $\left( \frac { 5 } { 7 } , \frac { 13 } { 7 } \right)$

В) $\left( \frac { 13 } { 7 } , \infty \right)$
  
C)  $\left( - \infty , \frac { 5 } { 7 } \right) \cup \left( \frac { 13 } { 7 } , \infty \right)$
  
D)  $\left( - \infty , \frac { 5 } { 7 } \right] \cup \left[ \frac { 13 } { 7 } , \infty \right)$
  
A)  $\left( \frac { 5 } { 7 } , \frac { 13 } { 7 } \right)$

В) $\left( \frac { 13 } { 7 } , \infty \right)$
  
C)  $\left( - \infty , \frac { 5 } { 7 } \right) \cup \left( \frac { 13 } { 7 } , \infty \right)$
  
D)  $\left( - \infty , \frac { 5 } { 7 } \right] \cup \left[ \frac { 13 } { 7 } , \infty \right)$

Question 16

Solve the equation.
-$$| x | = - 0.42$$

Accepted Answer

A)  $\{ - 0.42 \}$ 
B)  $\{ 2.4 , - 2.4 \}$ 
C)  $\{ 0.42 \}$ 
D)  $\varnothing$ 
A)  $\{ - 0.42 \}$ 
B)  $\{ 2.4 , - 2.4 \}$ 
C)  $\{ 0.42 \}$ 
D)  $\varnothing$

Question 17

Find the vertex and axis of symmetry of the graph of the function.
-$$f ( x ) = - x ^ { 2 } + 6 x$$

Accepted Answer

A)  $( 3,9 ) ; x = 3$ 
B)  $( - 3 , - 9 ) ; x = - 3$ 
C)  $( 9 , - 3 ) ; x = 9$ 
D)  $( - 9,3 ) ; x = - 9$ 
A)  $( 3,9 ) ; x = 3$ 
B)  $( - 3 , - 9 ) ; x = - 3$ 
C)  $( 9 , - 3 ) ; x = 9$ 
D)  $( - 9,3 ) ; x = - 9$

Question 18

Find the real zeros of the function. List the x-intercepts of the graph of the function.
-$$H ( x ) = x ^ { 6 } - 26 x ^ { 3 } - 27$$

Accepted Answer

A)  $x = 3 , x = - 1$ 
B)  $x = 3$ 
C)  $x = 27$ 
D)  $x = - 3 , x = 1$ 
A)  $x = 3 , x = - 1$ 
B)  $x = 3$ 
C)  $x = 27$ 
D)  $x = - 3 , x = 1$

Question 19

Find the vertex and axis of symmetry of the graph of the function.
-$$f ( x ) = 2 x ^ { 2 } - 4 x - 1$$

Accepted Answer

A)  $( - 1,5 ) ; x = - 1$ 
B)  $( - 2,15 ) ; x = - 2$ 
C)  $( 1 , - 3 ) ; x = 1$ 
D)  $( 2,3 ) ; x = 2$ 
A)  $( - 1,5 ) ; x = - 1$ 
B)  $( - 2,15 ) ; x = - 2$ 
C)  $( 1 , - 3 ) ; x = 1$ 
D)  $( 2,3 ) ; x = 2$

Question 20

Use a graphing calculator to plot the data and find the quadratic function of best fit.
-The following table shows the median number of hours of leisure time that Americans had each week in
various years. $\begin{array}{l|lllll}
\text { Year } & 1973 & 1980 & 1987 & 1993 & 1997 \
\hline \text { Median \# of Leisure hrs per Week } & 26.2 & 19.2 & 16.6 & 18.8 & 19.5
\end{array}$
 Use x = 0 to represent the year 1973. Using a graphing utility, determine the quadratic regression equation for
the data given. What year corresponds to the time when Americans had the least time to spend on leisure?

Accepted Answer

The answer of Use a graphing calculator to plot the...

Use factoring to find the zeros of the quadratic function. List the x-intercepts of the graph of the function. - $f ( x ) = x ^ { 2 } + 6 x - 40$

Determine whether the given function is linear or nonlinear. - x y=f(x) 3 12 5 20 7 28 9 36

Solve the problem. -An open box is to be constructed from a square sheet of plastic by removing a square of side 4 inches from each corner, and then turning up the sides. If the box must have a volume of 1,600 cubic inches, find the length of one Side of the open box.

Solve the problem. -The owner of a video store has determined that the cost C, in dollars, of operating the store is approximately given by $C ( x ) = 2 x ^ { 2 } - 32 x + 530$ , where x is the number of videos rented daily. Find the lowest cost to the nearest Dollar.

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. - 1 3 5 7 9 143 116 100 98 90

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

Solve the problem. -You have 336 feet of fencing to enclose a rectangular region. Find the dimensions of the rectangle that maximize the enclosed area.

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. - 0 3 4 5 12 8 2 6 9 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. - $f ( x ) = 5 x ^ { 2 } - 28 x - 12$

Solve the inequality. Express your answer using interval notation. Graph the solution set. - $| 7 k - 9 | - 9 > - 5$

Solve the equation. - $| x | = - 0.42$

Find the vertex and axis of symmetry of the graph of the function. - $f ( x ) = - x ^ { 2 } + 6 x$

Find the real zeros of the function. List the x-intercepts of the graph of the function. - $H ( x ) = x ^ { 6 } - 26 x ^ { 3 } - 27$

Find the vertex and axis of symmetry of the graph of the function. - $f ( x ) = 2 x ^ { 2 } - 4 x - 1$

Functions and Their Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometric Functions

Polar Coordinates; Vectors

Analytic Geometry

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

A Preview of Calculus: the Limit, Derivative, and Integral of a Function

Review

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Exam 2: Linear and Quadratic Functions

Use factoring to find the zeros of the quadratic function. List the x-intercepts of the graph of the function. - f(x)=x2+6x−40f ( x ) = x ^ { 2 } + 6 x - 40f(x)=x2+6x−40