Question 1

Solve the problem.
-You have 348 feet of fencing to enclose a rectangular region. What is the maximum area?

Accepted Answer

A)  121,104 square feet 
B)  7,569 square feet 
C)  30,276 square feet 
D)  7,565 square feet 
A)  121,104 square feet 
B)  7,569 square feet 
C)  30,276 square feet 
D)  7,565 square feet

Question 2

Use the slope and y-intercept to graph the linear function.
-$$\begin{aligned}
h ( x ) = & - \frac { 3 } { 4 } x + 3 \
\end{aligned}$$

Accepted Answer

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

Question 3

Solve the problem.
-The quadratic function models the median, or average, age, y, at which U.S. men $$f ( x ) = 0.0039 x ^ { 2 } - 0.47 x + 36.46$$ 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 4

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

Accepted Answer

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

Question 5

Match the graph to one of the listed functions.
-

Accepted Answer

A)  $f ( x ) = x ^ { 2 } - 8 x$ 
B)  $f ( x ) = - x ^ { 2 } - 8 x$ 
C)  $f ( x ) = - x ^ { 2 } - 8$ 
D)  $f ( x ) = x ^ { 2 } - 8$ 
A)  $f ( x ) = x ^ { 2 } - 8 x$ 
B)  $f ( x ) = - x ^ { 2 } - 8 x$ 
C)  $f ( x ) = - x ^ { 2 } - 8$ 
D)  $f ( x ) = x ^ { 2 } - 8$

Question 6

Solve the inequality.
-$$x ^ { 2 } - 4 x - 5 \leq 0$$

Accepted Answer

A)  $( - \infty , - 1 ]$ 
B)  $( - \infty , - 1 ]$ or $[ 5 , \infty )$ 
C)  $[ 5 , \infty )$ 
D)  $[ - 1,5 ]$ 
A)  $( - \infty , - 1 ]$ 
B)  $( - \infty , - 1 ]$ or $[ 5 , \infty )$ 
C)  $[ 5 , \infty )$ 
D)  $[ - 1,5 ]$

Question 7

Solve the problem.
-A projectile is thrown upward so that its distance above the ground after $t$ seconds is $h = - 13 t ^ { 2 } + 364 t$. After how many seconds does it reach its maximum height?

Accepted Answer

A)  $14 \mathrm {~s}$ 
B)  $28 \mathrm {~s}$ 
C)  $21 \mathrm {~s}$ 
D)  $7 \mathrm {~s}$ 
A)  $14 \mathrm {~s}$ 
B)  $28 \mathrm {~s}$ 
C)  $21 \mathrm {~s}$ 
D)  $7 \mathrm {~s}$

Question 8

Solve the inequality.
-$$4 x ^ { 2 } - 15 < - 17 x$$

Accepted Answer

A)  $\left( - \frac { 3 } { 4 } , 5 \right)$ 
B)  $\left( \frac { 3 } { 4 } , 5 \right)$ 
C)  $\left( - 5 , - \frac { 3 } { 4 } \right)$ 
D)  $\left( - 5 , \frac { 3 } { 4 } \right)$ 
A)  $\left( - \frac { 3 } { 4 } , 5 \right)$ 
B)  $\left( \frac { 3 } { 4 } , 5 \right)$ 
C)  $\left( - 5 , - \frac { 3 } { 4 } \right)$ 
D)  $\left( - 5 , \frac { 3 } { 4 } \right)$

Question 9

Solve the problem.
-A developer wants to enclose a rectangular grassy lot that borders a city street for parking. If the developer has 208 feet of fencing and does not fence the side along the street, what is the largest area that can be enclosed?

Accepted Answer

A)  $10.816 \mathrm { ft } ^ { 2 }$ 
B)  $2.704 \mathrm { ft } ^ { 2 }$ 
C)  $8,112 \mathrm { ft } ^ { 2 }$ 
D)  $5,408 \mathrm { ft } ^ { 2 }$ 
A)  $10.816 \mathrm { ft } ^ { 2 }$ 
B)  $2.704 \mathrm { ft } ^ { 2 }$ 
C)  $8,112 \mathrm { ft } ^ { 2 }$ 
D)  $5,408 \mathrm { ft } ^ { 2 }$

Question 10

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

Question 11

Solve the equation.
-$$| 3 x | = 0$$

Accepted Answer

A)  $\{ - 3,3 \}$ 
B)  $\{ 0,3 \}$ 
C)  $\{ - 3,0 \}$ 
D)  $\{ 0 \}$ 
A)  $\{ - 3,3 \}$ 
B)  $\{ 0,3 \}$ 
C)  $\{ - 3,0 \}$ 
D)  $\{ 0 \}$

Question 12

Find the zero of the linear function.
-f(x) = 6x + 42

Accepted Answer

A)  42 
B)  0 
C)  7 
D)  -7 
A)  42 
B)  0 
C)  7 
D)  -7

Question 13

Solve the problem.
-A projectile is fired from a cliff 300 feet above the water at an inclination of $45 ^ { \circ }$ to the horizontal, with a muzzle velocity of 270 feet per second. The height $h$ of the projectile above the water is given by $h ( x ) = \frac { - 32 x ^ { 2 } } { ( 270 ) ^ { 2 } } + x + 300$, where $\mathrm { x }$ is the horizontal distance of the projectile from the base of the cliff. Find the maximum height of the projectile.

Accepted Answer

A)  $869.53 \mathrm { ft }$ 
B)  $569.53 \mathrm { ft }$ 
C)  $2,008.59 \mathrm { ft }$ 
D)  $1,139.06 \mathrm { ft }$ 
A)  $869.53 \mathrm { ft }$ 
B)  $569.53 \mathrm { ft }$ 
C)  $2,008.59 \mathrm { ft }$ 
D)  $1,139.06 \mathrm { ft }$

Question 14

Solve the equation.
-$$\left| x ^ { 2 } + 7 x + 10 \right| = 0$$

Accepted Answer

A)  $\{ 10,4 \}$ 
B)  $\{ 5,2 \}$ 
C)  $\{ - 10 , - 4 \}$ 
D)  $\{ - 5 , - 2 \}$ 
A)  $\{ 10,4 \}$ 
B)  $\{ 5,2 \}$ 
C)  $\{ - 10 , - 4 \}$ 
D)  $\{ - 5 , - 2 \}$

Question 15

Write the word or phrase that best completes each statement or answers the question.
-The following data represents the number of employees at a company at the start of each year since the company
began. $$\begin{array} { l | c c c c c c c } 
\text { month } & 1 & 2 & 3 & 4 & 5 & 6 & 7 \
\hline \text { number } & 3 & 172 & 403 & 571 & 823 & 1061 & 1194
\end{array}$$ Find the slope of the line of best fit for the data set and interpret it.

Accepted Answer

The slope is about 2

Question 16

Solve the problem.
-If $g ( x ) = 70 x ^ { 2 } - 70$ and $h ( x ) = 51 x$, then solve $g ( x ) > h ( x )$

Accepted Answer

A)  $\left( - \frac { 7 } { 10 } , \frac { 10 } { 7 } \right)$ 
B)  $\left( - \infty , - \frac { 10 } { 7 } \right)$ or $\left( \frac { 7 } { 10 } , \infty \right)$ 
C)  $\left( - \infty , - \frac { 7 } { 10 } \right)$ or $\left( \frac { 10 } { 7 } , \infty \right)$ 
D)  $\left( - \frac { 10 } { 7 } , \frac { 7 } { 10 } \right)$ 
A)  $\left( - \frac { 7 } { 10 } , \frac { 10 } { 7 } \right)$ 
B)  $\left( - \infty , - \frac { 10 } { 7 } \right)$ or $\left( \frac { 7 } { 10 } , \infty \right)$ 
C)  $\left( - \infty , - \frac { 7 } { 10 } \right)$ or $\left( \frac { 10 } { 7 } , \infty \right)$ 
D)  $\left( - \frac { 10 } { 7 } , \frac { 7 } { 10 } \right)$

Question 17

Write the word or phrase that best completes each statement or answers the question.
-The following data represents the Olympic winning time in Women's 100 m Freestyle. $$\begin{array} { l | l l l l l l l } 
\text { year } & 1972 & 1976 & 1980 & 1984 & 1988 & 1992 & 1996 \
\hline \text { time } & 58.59 & 55.65 & 54.79 & 55.92 & 54.93 & 54.65 & 54.50
\end{array}$$ Find the slope of the line of best fit for the data set and interpret it.

Accepted Answer

The slope is about -0.12616 wh

Question 18

Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then
find that value.
-$$f ( x ) = - 10 x ^ { 2 } - 2 x - 8$$

Accepted Answer

A)  maximum; $\frac { 79 } { 10 }$ 
B)  maximum; $- \frac { 79 } { 10 }$ 
C)  minimum; $\frac { 79 } { 10 }$ 
D)  minimum; $- \frac { 79 } { 10 }$ 
A)  maximum; $\frac { 79 } { 10 }$ 
B)  maximum; $- \frac { 79 } { 10 }$ 
C)  minimum; $\frac { 79 } { 10 }$ 
D)  minimum; $- \frac { 79 } { 10 }$

Question 19

Solve the inequality. Express your answer using interval notation. Graph the solution set.
-$$| x | > 2$$

Accepted Answer

A)  $( - \infty , - 2 ) \cup ( 2 , \infty )$
  
B)  $[ 2 , \infty )$
  
C)  $[ - 2,2 ]$
  
D)  $( - 2,2 )$
  
A)  $( - \infty , - 2 ) \cup ( 2 , \infty )$
  
B)  $[ 2 , \infty )$
  
C)  $[ - 2,2 ]$
  
D)  $( - 2,2 )$

Question 20

Determine where the function is increasing and where it is decreasing.
-$$f ( x ) = - 4 x ^ { 2 } - 2 x - 11$$

Accepted Answer

A)  increasing on $\left( - \infty , - \frac { 1 } { 4 } \right)$
 decreasing on $\left( - \frac { 1 } { 4 } , \infty \right)$ 
B)  increasing on $\left( - \infty , \frac { 1 } { 4 } \right)$
decreasing on $\left( \frac { 1 } { 4 } , \infty \right)$ 
C)  decreasing on $\left( - \infty , - \frac { 1 } { 4 } \right)$
increasing on $\left( - \frac { 1 } { 4 } , \infty \right)$ 
D)  increasing on $\left( - \infty , - \frac { 43 } { 4 } \right)$ 
decreasing on $\left( - \frac { 43 } { 4 } , \infty \right)$ 
A)  increasing on $\left( - \infty , - \frac { 1 } { 4 } \right)$
 decreasing on $\left( - \frac { 1 } { 4 } , \infty \right)$ 
B)  increasing on $\left( - \infty , \frac { 1 } { 4 } \right)$
decreasing on $\left( \frac { 1 } { 4 } , \infty \right)$ 
C)  decreasing on $\left( - \infty , - \frac { 1 } { 4 } \right)$
increasing on $\left( - \frac { 1 } { 4 } , \infty \right)$ 
D)  increasing on $\left( - \infty , - \frac { 43 } { 4 } \right)$ 
decreasing on $\left( - \frac { 43 } { 4 } , \infty \right)$

Solve the problem. -You have 348 feet of fencing to enclose a rectangular region. What is the maximum area?

Use the slope and y-intercept to graph the linear function. - h(x)= -x+3 $Use the slope and y-intercept to graph the linear function. - \begin{aligned} h ( x ) = & - \frac { 3 } { 4 } x + 3 \\ \end{aligned}$

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

Match the graph to one of the listed functions. -

Solve the inequality. - $x ^ { 2 } - 4 x - 5 \leq 0$

Solve the problem. -A projectile is thrown upward so that its distance above the ground after $t$ seconds is $h = - 13 t ^ { 2 } + 364 t$ . After how many seconds does it reach its maximum height?

Solve the inequality. - $4 x ^ { 2 } - 15 < - 17 x$

Solve the problem. -A developer wants to enclose a rectangular grassy lot that borders a city street for parking. If the developer has 208 feet of fencing and does not fence the side along the street, what is the largest area that can be enclosed?

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

Solve the equation. - $| 3 x | = 0$

Find the zero of the linear function. -f(x) = 6x + 42

Solve the equation. - $\left| x ^ { 2 } + 7 x + 10 \right| = 0$

Solve the problem. -If $g ( x ) = 70 x ^ { 2 } - 70$ and $h ( x ) = 51 x$ , then solve $g ( x ) > h ( x )$

Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then find that value. - $f ( x ) = - 10 x ^ { 2 } - 2 x - 8$

Solve the inequality. Express your answer using interval notation. Graph the solution set. - $| x | > 2$

Determine where the function is increasing and where it is decreasing. - $f ( x ) = - 4 x ^ { 2 } - 2 x - 11$

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

Foundations: a Prelude to Functions

Graphing Utilities

Filters

Exam 2: Linear and Quadratic Functions