Question 1

Determine the slope and y-intercept of the function.
-p(x) = -x - 3

Accepted Answer

A)  m =1; b = 3 
B)  m = -1; b = 3 
C)  m = 0; b = -3 
D)  m = -1; b =-3 
A)  m =1; b = 3 
B)  m = -1; b = 3 
C)  m = 0; b = -3 
D)  m = -1; b =-3

Question 2

Solve the inequality. Express your answer using interval notation. Graph the solution set.
-$$| 8 k - 9 | + 4 < 8$$

Accepted Answer

A)  $\left( - \infty , \frac { 5 } { 8 } \right)$
  
B)  $\left( \frac { 5 } { 8 } , \frac { 13 } { 8 } \right)$
  
C)  $\left( - \infty , \frac { 5 } { 8 } \right) \cup \left( \frac { 13 } { 8 } , \infty \right)$
  
D)  $\left( - \infty , \frac { 13 } { 8 } \right)$
  
A)  $\left( - \infty , \frac { 5 } { 8 } \right)$
  
B)  $\left( \frac { 5 } { 8 } , \frac { 13 } { 8 } \right)$
  
C)  $\left( - \infty , \frac { 5 } { 8 } \right) \cup \left( \frac { 13 } { 8 } , \infty \right)$
  
D)  $\left( - \infty , \frac { 13 } { 8 } \right)$

Question 3

Graph the function using its vertex, axis of symmetry, and intercepts.
-$f(x)=x^{2}-12 x+36$
 
 A)$\begin{array}{l}
\text { vertex }(-6,36) \
\text { intercept }(0,72)
\end{array}$

Accepted Answer

B)  $\begin{array}{l}
\text { vertex }(-6,0) \
\text { intercepts }(0,36),(-6,0)
\end{array}$
  
C)  $\begin{array}{l}
\text { vertex }(6,36) \
\text { intercept }(0,72)
\end{array}$
  
D) vertex $ (6,0) $
intercepts $ (0,36),(6,0) $
  
B)  $\begin{array}{l}
\text { vertex }(-6,0) \
\text { intercepts }(0,36),(-6,0)
\end{array}$
  
C)  $\begin{array}{l}
\text { vertex }(6,36) \
\text { intercept }(0,72)
\end{array}$
  
D) vertex $ (6,0) $
intercepts $ (0,36),(6,0) $

Question 4

Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then
find that value.
-$$f ( x ) = x ^ { 2 } - 6$$

Accepted Answer

A)  maximum; 0 
B)  maximum; -6 
C)  minimum; 0 
D)  minimum; -6 
A)  maximum; 0 
B)  maximum; -6 
C)  minimum; 0 
D)  minimum; -6

Question 5

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 $$h = 16 t ^ { 2 }$$ , 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)  4.4 sec 
D)  77.5 sec 
A)  19.4 sec 
B)  1.1 sec 
C)  4.4 sec 
D)  77.5 sec

Question 6

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)  3 months 
B)  1 year 
C)  3 years 
D)  7 years 
A)  3 months 
B)  1 year 
C)  3 years 
D)  7 years

Question 7

Determine where the function is increasing and where it is decreasing.
-$$f ( x ) = x ^ { 2 } - 8 x$$

Accepted Answer

A)  increasing on $( - \infty , 4 )$
decreasing on $( 4 , \infty )$ 
B)  increasing on $( - \infty , - 4 )$ 
decreasing on $( - 4 , \infty )$ 
C)  increasing on $( 4 , \infty )$
decreasing on $( - \infty , 4 )$ 
D)  increasing on $( - 4 , \infty )$
decreasing on $( - \infty , - 4 )$ 
A)  increasing on $( - \infty , 4 )$
decreasing on $( 4 , \infty )$ 
B)  increasing on $( - \infty , - 4 )$ 
decreasing on $( - 4 , \infty )$ 
C)  increasing on $( 4 , \infty )$
decreasing on $( - \infty , 4 )$ 
D)  increasing on $( - 4 , \infty )$
decreasing on $( - \infty , - 4 )$

Question 8

Graph the function f by starting with the graph of y $y = x ^ { 2 }$ and using transformations (shifting, compressing, stretching,
and/or reflection).
-$f(x)=\frac{2}{9} x^{2}+\frac{4}{9} x-1$

A)

Accepted Answer

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

Question 9

Solve the problem.
-The price p and the quantity x sold of a certain product obey the demand equation $$p = - \frac { 1 } { 6 } x + 200 , \quad 0 \leq x \leq 1,200$$ What quantity x maximizes revenue? What is the maximum revenue?

Accepted Answer

A)  600; $60,000 
B)  900; $45,000 
C)  300; $45,000 
D)  1,200; $60,000 
A)  600; $60,000 
B)  900; $45,000 
C)  300; $45,000 
D)  1,200; $60,000

Question 10

Plot and interpret the appropriate scatter diagram.
-The table shows the study times and test scores for a number of students. Draw a scatter plot of score versus time
treating time as the independent variable. $$\begin{array} { l | c c c c c c c c } 
\text { Study Time } ( \mathrm { min } ) & 9 & 16 & 21 & 26 & 33 & 36 & 40 & 47 \
\hline \text { Test Score } & 59 & 61 & 64 & 65 & 73 & 74 & 78 & 78
\end{array}$$

Accepted Answer

The answer of Plot and interpret the appropriate scatter diagram.
-The...

Question 11

Find the complex zeros of the quadratic function.
-$$F ( x ) = x ^ { 2 } - 8 x + 20$$

Accepted Answer

A)  $x = 8 \pm 4 i$ 
B)  $x = 4 \pm 2 i$ 
C)  $x = - 4 \pm 2 i$ 
D)  $x = 6 , x = 2$ 
A)  $x = 8 \pm 4 i$ 
B)  $x = 4 \pm 2 i$ 
C)  $x = - 4 \pm 2 i$ 
D)  $x = 6 , x = 2$

Question 12

Find the vertex and axis of symmetry of the graph of the function.
-$f ( x ) = - x ^ { 2 } - 12 x + 2$

Accepted Answer

A)  $( 6 , - 106 ) ; x = 6$ 
B)  $( - 6,38 ) ; x = - 6$ 
C)  $( - 12,2 ) ; x = - 12$ 
D)  $( 6 , - 34 ) ; x = 6$ 
A)  $( 6 , - 106 ) ; x = 6$ 
B)  $( - 6,38 ) ; x = - 6$ 
C)  $( - 12,2 ) ; x = - 12$ 
D)  $( 6 , - 34 ) ; x = 6$

Question 13

Find the zeros of the quadratic function using the Square Root Method. List the x-intercepts of the graph of the function.
-$$f ( x ) = x ^ { 2 } - 49$$

Accepted Answer

A)  $x = - 7 , x = 7$ 
B)  $x = 7$ 
C)  $x = - 2,401 , x = 2,401$ 
D)  $x = - 7$ 
A)  $x = - 7 , x = 7$ 
B)  $x = 7$ 
C)  $x = - 2,401 , x = 2,401$ 
D)  $x = - 7$

Question 14

Without solving, determine the character of the solutions of the equation.
-$$x ^ { 2 } + 8 x - 5 = 0$$

Accepted Answer

A)  two complex solutions that are conjugates of each other 
B)  a repeated real solution 
C)  two unequal real solutions 
A)  two complex solutions that are conjugates of each other 
B)  a repeated real solution 
C)  two unequal real solutions

Question 15

Solve the problem.
-If a rocket is propelled upward from ground level, its height in meters after t seconds is given by h = -9.8t2 + 78.4t. During what interval of time will the rocket be higher than 147 m?

Accepted Answer

A)  0 < t < 3 
B)  3 < t < 5 
C)  5 < t < 6 
D)  6 < t < 8 
A)  0 < t < 3 
B)  3 < t < 5 
C)  5 < t < 6 
D)  6 < t < 8

Question 16

Solve the inequality.
-$$x ^ { 2 } + 8 x + 15 > 0$$

Accepted Answer

A)  $( - \infty , - 5 )$ 
B)  $( - 5 , - 3 )$ 
C)  $( - \infty , - 5 )$ or $( - 3 , \infty )$ 
D)  $( - 3 , \infty )$ 
A)  $( - \infty , - 5 )$ 
B)  $( - 5 , - 3 )$ 
C)  $( - \infty , - 5 )$ or $( - 3 , \infty )$ 
D)  $( - 3 , \infty )$

Question 17

Find the zero of the linear function.
-g(x) = 6x - 36

Accepted Answer

A)  -36 
B)  0 
C)  6 
D)  -6 
A)  -36 
B)  0 
C)  6 
D)  -6

Question 18

Solve the inequality.
-$64 x ^ { 2 } + 9 < 48 x$

Accepted Answer

A)  $\left( - \infty , \frac { 3 } { 8 } \right)$ 
B)  $\left( - \frac { 3 } { 8 } , \infty \right)$ 
C)  No real solution 
D)  $\left( - \infty , - \frac { 3 } { 8 } \right)$ 
A)  $\left( - \infty , \frac { 3 } { 8 } \right)$ 
B)  $\left( - \frac { 3 } { 8 } , \infty \right)$ 
C)  No real solution 
D)  $\left( - \infty , - \frac { 3 } { 8 } \right)$

Question 19

Find the zero of the linear function.
-$$G ( x ) = - \frac { 1 } { 4 } x - 4$$

Accepted Answer

A)  $- 16$ 
B)  $- 1$ 
C)  16 
D)  1 
A)  $- 16$ 
B)  $- 1$ 
C)  16 
D)  1

Question 20

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary.
-Two different tests are designed to measure employee productivity and dexterity. Several employees are randomly selected and tested with these results. $\begin{array}{l|l|l|l|l|l|l|l|l|l}
Productivity&23 & 25 & 28 & 21 & 21 & 25 & 26 & 30 & 34 & 36 \
Dexterity&49 & 53 & 59 & 42 & 47 & 53 & 55 & 63 & 67 & 75
\end{array}$

Accepted Answer

A)  $\mathrm { y } = 75.3 - 0.329 \mathrm { x }$ 
B)  $y=10.7+1.53 x$ 
C)  $y = 5.05 + 1.91 x$ 
D)  $y = 2.36 + 2.03 x$ 
A)  $\mathrm { y } = 75.3 - 0.329 \mathrm { x }$ 
B)  $y=10.7+1.53 x$ 
C)  $y = 5.05 + 1.91 x$ 
D)  $y = 2.36 + 2.03 x$

Determine the slope and y-intercept of the function. -p(x) = -x - 3

Solve the inequality. Express your answer using interval notation. Graph the solution set. - $| 8 k - 9 | + 4 < 8$

Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then find that value. - $f ( x ) = x ^ { 2 } - 6$

Determine where the function is increasing and where it is decreasing. - $f ( x ) = x ^ { 2 } - 8 x$

Solve the problem. -The price p and the quantity x sold of a certain product obey the demand equation $p = - \frac { 1 } { 6 } x + 200 , \quad 0 \leq x \leq 1,200$ What quantity x maximizes revenue? What is the maximum revenue?

Find the complex zeros of the quadratic function. - $F ( x ) = x ^ { 2 } - 8 x + 20$

Find the vertex and axis of symmetry of the graph of the function. - $f ( x ) = - x ^ { 2 } - 12 x + 2$

Find the zeros of the quadratic function using the Square Root Method. List the x-intercepts of the graph of the function. - $f ( x ) = x ^ { 2 } - 49$

Without solving, determine the character of the solutions of the equation. - $x ^ { 2 } + 8 x - 5 = 0$

Solve the problem. -If a rocket is propelled upward from ground level, its height in meters after t seconds is given by h = -9.8t2 + 78.4t. During what interval of time will the rocket be higher than 147 m?

Solve the inequality. - $x ^ { 2 } + 8 x + 15 > 0$

Find the zero of the linear function. -g(x) = 6x - 36

Solve the inequality. - $64 x ^ { 2 } + 9 < 48 x$

Find the zero of the linear function. - $G ( x ) = - \frac { 1 } { 4 } x - 4$

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

Filters

Exam 2: Linear and Quadratic Functions

Determine the slope and y-intercept of the function. -p(x) = -x - 3

Solve the inequality. Express your answer using interval notation. Graph the solution set. - ∣8k−9∣+4<8| 8 k - 9 | + 4 < 8∣8k−9∣+4<8

Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then find that value. - f(x)=x2−6f ( x ) = x ^ { 2 } - 6f(x)=x2−6

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?

Determine where the function is increasing and where it is decreasing. - f(x)=x2−8xf ( x ) = x ^ { 2 } - 8 xf(x)=x2−8x

Graph the function f by starting with the graph of y y=x2y = x ^ { 2 }y=x2 and using transformations (shifting, compressing, stretching, and/or reflection). - f(x)=29x2+49x−1f(x)=\frac{2}{9} x^{2}+\frac{4}{9} x-1f(x)=92​x2+94​x−1 A) B) C) D)

Solve the problem. -The price p and the quantity x sold of a certain product obey the demand equation p=−16x+200,0≤x≤1,200p = - \frac { 1 } { 6 } x + 200 , \quad 0 \leq x \leq 1,200p=−61​x+200,0≤x≤1,200 What quantity x maximizes revenue? What is the maximum revenue?

Plot and interpret the appropriate scatter diagram. -The table shows the study times and test scores for a number of students. Draw a scatter plot of score versus time treating time as the independent variable. Study Time () 9 16 21 26 33 36 40 47 Test Score 59 61 64 65 73 74 78 78

Find the complex zeros of the quadratic function. - F(x)=x2−8x+20F ( x ) = x ^ { 2 } - 8 x + 20F(x)=x2−8x+20

Find the vertex and axis of symmetry of the graph of the function. - f(x)=−x2−12x+2f ( x ) = - x ^ { 2 } - 12 x + 2f(x)=−x2−12x+2

Find the zeros of the quadratic function using the Square Root Method. List the x-intercepts of the graph of the function. - f(x)=x2−49f ( x ) = x ^ { 2 } - 49f(x)=x2−49

Without solving, determine the character of the solutions of the equation. - x2+8x−5=0x ^ { 2 } + 8 x - 5 = 0x2+8x−5=0