Question 1

Determine the average rate of change for the function.
-h(x) = -7x - 2

Accepted Answer

A)  - 2 
B)  7 
C)  -7 
D)  2 
A)  - 2 
B)  7 
C)  -7 
D)  2

Question 2

Determine the domain and the range of the function.
-$$f ( x ) = x ^ { 2 } - 6 x + 5$$

Accepted Answer

A)  domain: all real numbers 
B)  domain: all real numbers range: {y|y ≤4} range: all real numbers 
C)  domain: {x|x ≥ -3} 
D)  domain: all real numbers range: {y|y ≥ -4} range: {y|y ≥ -4} 
A)  domain: all real numbers 
B)  domain: all real numbers range: {y|y ≤4} range: all real numbers 
C)  domain: {x|x ≥ -3} 
D)  domain: all real numbers range: {y|y ≥ -4} range: {y|y ≥ -4}

Question 3

Find the zeros of the quadratic function by completing the square. List the x-intercepts of the graph of the function.
-$$F ( x ) = x ^ { 2 } + 4 x + 3$$

Accepted Answer

A)  $x = \sqrt { 3 } , x = \sqrt { - 3 }$ 
B)  $x = 6 , x = - 3$ 
C)  $x = - 1 , x = - 3$ 
D)  $x = 1 , x = 3$ 
A)  $x = \sqrt { 3 } , x = \sqrt { - 3 }$ 
B)  $x = 6 , x = - 3$ 
C)  $x = - 1 , x = - 3$ 
D)  $x = 1 , x = 3$

Question 4

Find the complex zeros of the quadratic function.
Solve the inequality. Express your answer using interval notation. Graph the solution set.
-$| x + 2 | < 4$

Accepted Answer

A)  $( - \infty , - 6 )$
  
B)  $( - 2,6 )$
  
C) $( - 6,2 )$
  
D) $( - \infty , 2 )$
  
A)  $( - \infty , - 6 )$
  
B)  $( - 2,6 )$
  
C) $( - 6,2 )$
  
D) $( - \infty , 2 )$

Question 5

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary.
-$$\begin{array} { l | l l l l l } 
\mathrm { x } & 1.2 & 1.4 & 1.6 & 1.8 & 2.0 \
\hline \mathrm { y } & 54 & 53 & 55 & 54 & 56
\end{array}$$

Accepted Answer

A)  y = 3x + 50 
B)  y = 55.3 
C)  y = 2.5x + 50.4 
D)  y = 54 
A)  y = 3x + 50 
B)  y = 55.3 
C)  y = 2.5x + 50.4 
D)  y = 54

Question 6

Solve the problem.
-Let f(x) be the function represented by the dashed line and g(x) be the function represented by the solid line. Solve the equation f(x) ≥ g(x).

Accepted Answer

A)  x < -1 
B)  x ≥ 1 
C)  x ≥ -1 
D)  x ≤1 
A)  x < -1 
B)  x ≥ 1 
C)  x ≥ -1 
D)  x ≤1

Question 7

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary.
-$$\begin{array} { l | c c c c c } 
\mathrm { x } & 10 & 20 & 30 & 40 & 50 \
\hline \mathrm { y } & 3.9 & 4.6 & 5.4 & 6.9 & 8.3
\end{array}$$

Accepted Answer

A)  y = 0.11x + 2.49 
B)  y = 0.5x - 2 
C)  y = x - 8 
D)  y = 0.17x + 2.11 
A)  y = 0.11x + 2.49 
B)  y = 0.5x - 2 
C)  y = x - 8 
D)  y = 0.17x + 2.11

Question 8

Determine the quadratic function whose graph is given.
-If $h ( x ) = x ^ { 2 } - 9 x + 20$, solve $h ( x ) > 0$.

Accepted Answer

A)  $( - \infty , 4 )$ or $( 5 , \infty )$ 
B)  $( 4,5 )$ 
C)  $( 5 , \infty )$ 
D)  $( - \infty , 4 )$ 
A)  $( - \infty , 4 )$ or $( 5 , \infty )$ 
B)  $( 4,5 )$ 
C)  $( 5 , \infty )$ 
D)  $( - \infty , 4 )$

Question 9

Plot a scatter diagram.
-$$\begin{array} { c | c c c c c c c c c c } 
\mathrm { x } & 22 & - 10 & 10 & - 11 & - 6 & 12 & 4 & 13 & 5 & - 4 \
\hline \mathrm { y } & 53 & 17 & 43 & - 15 & - 2 & 38 & 7 & 68 & - 4 & 3
\end{array}$$

Accepted Answer

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

Question 10

Solve f(x) = g(x). Find the points of intersection of the graphs of the two functions.
-$$\begin{array} { l } 
f ( x ) = 11 x ^ { 2 } \
g ( x ) = - 13 x
\end{array}$$

Accepted Answer

A)  $x = \frac { 13 } { 11 } , x = 0$ 
B)  $x = \pm \frac { 13 } { 11 }$ 
C)  $x = 0$ 
D)  $x = - \frac { 13 } { 11 } , x = 0$ 
A)  $x = \frac { 13 } { 11 } , x = 0$ 
B)  $x = \pm \frac { 13 } { 11 }$ 
C)  $x = 0$ 
D)  $x = - \frac { 13 } { 11 } , x = 0$

Question 11

Find the vertex and axis of symmetry of the graph of the function.
-f(x) = -x2 + 10x

Accepted Answer

A)  vertex $( 5 , - 25 )$
intercept $( 0 , - 50 )$
  
B)  vertex $( - 5,25 )$
intercepts $( 0,0 ) , ( - 10,0 )$
  
C)  vertex $( - 5 , - 25 )$
intercept $( 0 , - 50 )$
  
D)  vertex $( 5,25 )$
intercepts $( 0,0 ) , ( 10,0 )$
  
A)  vertex $( 5 , - 25 )$
intercept $( 0 , - 50 )$
  
B)  vertex $( - 5,25 )$
intercepts $( 0,0 ) , ( - 10,0 )$
  
C)  vertex $( - 5 , - 25 )$
intercept $( 0 , - 50 )$
  
D)  vertex $( 5,25 )$
intercepts $( 0,0 ) , ( 10,0 )$

Question 12

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 
B)  x = -7, x = 7 
C)  x = 7 
D)  x = -2401, x = 2401 
A)  x = -7 
B)  x = -7, x = 7 
C)  x = 7 
D)  x = -2401, x = 2401

Question 13

Solve the problem.
-Linda needs to have her car towed. Little Town Auto charges a flat fee of $45 plus $3 per mile towed. Write a function expressing Linda's towing cost, c, in terms of miles towed, x. Find the cost of having a car towed 14
Miles.

Accepted Answer

A)  c(x) = 3x + 45; $77 
B)  c(x) = 3x; $48 
C)  c(x) = 3x; $42 
D)  c(x) = 3x + 45; $87 
A)  c(x) = 3x + 45; $77 
B)  c(x) = 3x; $48 
C)  c(x) = 3x; $42 
D)  c(x) = 3x + 45; $87

Question 14

Solve the problem.
-A survey of the interest rates earned by Certificates of Deposit (CDs) showed the following percents for the length of time (in years) for holding the CD. Let length of time represent the independent variable and interest
Rate represent the dependent variable. Use a graphing utility to draw a scatter diagram and to find the line of
Best fit. What is the estimate of the interest rate for a CD held for 30 years (to the nearest thousandth)? $$\begin{array} { l | l } 
\text { CD Maturity (yrs) } & \text { Interest rate (\%) } \
\hline 5 & 8.458 \
10 & 8.470 \
15 & 8.496 \
20 & 8.580 \
25 & 8.625
\end{array}$$

Accepted Answer

A)  9.064 
B)  8.874 
C)  8.669 
D)  8.675 
A)  9.064 
B)  8.874 
C)  8.669 
D)  8.675

Question 15

Graph the function f by starting with the graph of y = xS1U1P12S1S1P0 and using transformations (shifting, compressing, stretching,
and/or reflection).
-f(x)=2x2-6

Accepted Answer

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

Question 16

Determine the slope and y-intercept of the function.
-F(x) = 2

Accepted Answer

A)  m = 0; b = 2 
B)  m = 2; b = 2 
C)  m = 0; b = 0 
D)  m = 2; b = 0 
A)  m = 0; b = 2 
B)  m = 2; b = 2 
C)  m = 0; b = 0 
D)  m = 2; b = 0

Question 17

Find the vertex and axis of symmetry of the graph of the function.
-f(x) =x2-4x-5

Accepted Answer

A)  vertex $( - 2,9 )$
intercepts $( - 5,0 ) , ( 1,0 ) , ( 0,5 )$
  
B)  vertex $( 2 , - 9 )$
intercepts $( 5,0 ) , ( - 1,0 ) , ( 0 , - 5 )$
  
C)  vertex $( 2,9 )$
intercepts $( 5,0 ) , ( - 1,0 ) , ( 0,5 )$
  
D)  vertex $( - 2 , - 9 )$
intercepts $( - 5,0 ) , ( 1,0 ) , ( 0 , - 5 )$
  
A)  vertex $( - 2,9 )$
intercepts $( - 5,0 ) , ( 1,0 ) , ( 0,5 )$
  
B)  vertex $( 2 , - 9 )$
intercepts $( 5,0 ) , ( - 1,0 ) , ( 0 , - 5 )$
  
C)  vertex $( 2,9 )$
intercepts $( 5,0 ) , ( - 1,0 ) , ( 0,5 )$
  
D)  vertex $( - 2 , - 9 )$
intercepts $( - 5,0 ) , ( 1,0 ) , ( 0 , - 5 )$

Question 18

Solve the problem.
-In a certain city, the cost of a taxi ride is computed as follows: There is a fixed charge of $2.95 as soon as you get in the taxi, to which a charge of $2.25 per mile is added. Find an equation that can be used to determine the cost, C(x), of an x-mile taxi ride.

Accepted Answer

A)  C(x) = 2.95 + 2.25x 
B)  C(x) = 3.70x 
C)  C(x) = 2.25 + 2.95x 
D)  C(x) = 5.20x 
A)  C(x) = 2.95 + 2.25x 
B)  C(x) = 3.70x 
C)  C(x) = 2.25 + 2.95x 
D)  C(x) = 5.20x

Question 19

Solve the problem.
-The following data represents the Olympic winning time in Women's 100 m Freestyle.   Using the line of best fit (with slope correct to 5 decimal places) for the data set, predict the Olympic winning
time in 2000.

Accepted Answer

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

Question 20

Find the zeros of the quadratic function by completing the square. List the x-intercepts of the graph of the function.
-$$f ( x ) = 25 x ^ { 2 } + 50 x + 24$$

Accepted Answer

A)  $x = - \frac { 4 } { 25 } , x = - \frac { 6 } { 25 }$ 
B)  $x = \frac { 4 } { 5 } , x = \frac { 6 } { 5 }$ 
C)  $x = - \frac { 6 } { 5 } , x = \frac { 6 } { 5 }$ 
D)  $x = - \frac { 4 } { 5 } , x = - \frac { 6 } { 5 }$ 
A)  $x = - \frac { 4 } { 25 } , x = - \frac { 6 } { 25 }$ 
B)  $x = \frac { 4 } { 5 } , x = \frac { 6 } { 5 }$ 
C)  $x = - \frac { 6 } { 5 } , x = \frac { 6 } { 5 }$ 
D)  $x = - \frac { 4 } { 5 } , x = - \frac { 6 } { 5 }$

Determine the average rate of change for the function. -h(x) = -7x - 2

Determine the domain and the range of the function. - $f ( x ) = x ^ { 2 } - 6 x + 5$

Find the zeros of the quadratic function by completing the square. List the x-intercepts of the graph of the function. - $F ( x ) = x ^ { 2 } + 4 x + 3$

Find the complex zeros of the quadratic function. Solve the inequality. Express your answer using interval notation. Graph the solution set. - $| x + 2 | < 4$

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. - 1.2 1.4 1.6 1.8 2.0 54 53 55 54 56

Solve the problem. -Let f(x) be the function represented by the dashed line and g(x) be the function represented by the solid line. Solve the equation f(x) ≥ g(x).

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. - 10 20 30 40 50 3.9 4.6 5.4 6.9 8.3

Determine the quadratic function whose graph is given. -If $h ( x ) = x ^ { 2 } - 9 x + 20$ , solve $h ( x ) > 0$ .

Solve f(x) = g(x). Find the points of intersection of the graphs of the two functions. - f(x)=11 g(x)=-13x

Find the vertex and axis of symmetry of the graph of the function. -f(x) = -x² + 10x

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

Solve the problem. -Linda needs to have her car towed. Little Town Auto charges a flat fee of $45 plus $3 per mile towed. Write a function expressing Linda's towing cost, c, in terms of miles towed, x. Find the cost of having a car towed 14 Miles.

Graph the function f by starting with the graph of y = x² and using transformations (shifting, compressing, stretching, and/or reflection). -f(x)=2x²-6

Determine the slope and y-intercept of the function. -F(x) = 2

Find the vertex and axis of symmetry of the graph of the function. -f(x) =x²-4x-5

Solve the problem. -In a certain city, the cost of a taxi ride is computed as follows: There is a fixed charge of $2.95 as soon as you get in the taxi, to which a charge of $2.25 per mile is added. Find an equation that can be used to determine the cost, C(x), of an x-mile taxi ride.

Solve the problem. -The following data represents the Olympic winning time in Women's 100 m Freestyle. Using the line of best fit (with slope correct to 5 decimal places) for the data set, predict the Olympic winning time in 2000.

Find the zeros of the quadratic function by completing the square. List the x-intercepts of the graph of the function. - $f ( x ) = 25 x ^ { 2 } + 50 x + 24$

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