Question 1

Graph the function. State whether it is increasing, decreasing, or constant..
-f(x)=8

Accepted Answer

A)  decreasing
  
B)  constant
  
C)  constant
  
D)  constant
  
A)  decreasing
  
B)  constant
  
C)  constant
  
D)  constant

Question 2

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

Accepted Answer

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

Question 3

Determine the quadratic function whose graph is given.
-

Accepted Answer

A)  f(x) = -2x2 - 4x - 1 
B)  f(x) = 2x2 + 8x - 1 
C)  f(x) = 2x2 - 4x - 1 
D)  f(x) = -2x2 + 4x + 1 
A)  f(x) = -2x2 - 4x - 1 
B)  f(x) = 2x2 + 8x - 1 
C)  f(x) = 2x2 - 4x - 1 
D)  f(x) = -2x2 + 4x + 1

Question 4

Solve the problem.
-Super Sally, a truly amazing individual, picks up a rock and throws it as hard as she can. The table below displays the relationship between the rock's horizontal distance, d (in feet) from Sally and the initial speed with
Which she throws. $$\begin{array} { l | c c c c c } 
\text { Initial speed( in } \mathrm { ft } / \mathrm { sec } ) , \mathrm { v } & 10 & 15 & 20 & 25 & 30 \
\hline \text { Horizontal distance of the rock (in feet), } \mathrm { d } & 9.9 & 14.8 & 19.1 & 24.5 & 28.2
\end{array}$$ Assume that the horizontal distance travelled varies linearly with the speed with which the rock is thrown.
Using a graphing utility, find the line of best fit, and estimate, rounded to two decimal places, the horizontal
Distance of the rock if the initial speed is 33 ft/sec.

Accepted Answer

A)  26.67 feet 
B)  34.76 feet 
C)  31.34 feet 
D)  31.33 feet 
A)  26.67 feet 
B)  34.76 feet 
C)  31.34 feet 
D)  31.33 feet

Question 5

Graph the function f by starting with the graph of y = xS1U1P12S1S1P0 and using transformations (shifting, compressing, stretching,
and/or reflection).
-$f ( x ) = - \frac { 1 } { 3 } x ^ { 2 }$

Accepted Answer

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

Question 6

Find the zeros of the quadratic function using the Square Root Method. List the x-intercepts of the graph of the function.
-$$h ( x ) = ( x + 7 ) ^ { 2 } - 16$$

Accepted Answer

A)  x = -11 
B)  x = -11, x = - 3 
C)  x = -4, x = 4 
D)  x = - 3 
A)  x = -11 
B)  x = -11, x = - 3 
C)  x = -4, x = 4 
D)  x = - 3

Question 7

Find the real zeros of the function. List the x-intercepts of the graph of the function.
-$$f ( x ) = 4 ( x + 1 ) ^ { 2 } + 6 ( x + 1 ) + 2$$

Accepted Answer

A)  $x = - \frac { 1 } { 2 } , x = - 2$ 
B)  $x = \frac { 1 } { 4 } , x = 0$ 
C)  $x = - \frac { 3 } { 2 } , x = - 2$ 
D)  $x = - \frac { 3 } { 8 } , x = - 1$ 
A)  $x = - \frac { 1 } { 2 } , x = - 2$ 
B)  $x = \frac { 1 } { 4 } , x = 0$ 
C)  $x = - \frac { 3 } { 2 } , x = - 2$ 
D)  $x = - \frac { 3 } { 8 } , x = - 1$

Question 8

Graph the function. State whether it is increasing, decreasing, or constant..
-$h ( x ) = - \frac { 3 } { 5 } x - 1$

Accepted Answer

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

Question 9

Determine the quadratic function whose graph is given.
-A developer wants to enclose a rectangular grassy lot that borders a city street for parking. If the developer has 308 feet of fencing and does not fence the side along the street, what is the largest area that can be enclosed?

Accepted Answer

A)  5929 ft2 
B)  23,716 ft2 
C)  11,858 ft2 
D)  17,787 ft2 
A)  5929 ft2 
B)  23,716 ft2 
C)  11,858 ft2 
D)  17,787 ft2

Question 10

Determine the quadratic function whose graph is given.
-The owner of a video store has determined that the cost C, in dollars, of operating the store is approximately given by C(x) = 2x2 - 24x + 690, where x is the number of videos rented daily. Find the lowest cost to the nearest
Dollar.

Accepted Answer

A)  $762 
B)  $546 
C)  $618 
D)  $402 
A)  $762 
B)  $546 
C)  $618 
D)  $402

Question 11

Graph the function. State whether it is increasing, decreasing, or constant..
-$f ( x ) = \frac { 3 } { 4 } x + 1$

Accepted Answer

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

Question 12

Solve the problem.
-A marina owner wishes to estimate a linear function that relates boat length in feet and its draft (depth of boat below water line) in feet. He collects the following data. Let boat length represent the independent variable and
Draft represent the dependent variable. Use a graphing utility to draw a scatter diagram and to find the line of
Best fit. What is the draft for a boat 60 ft in length (to the nearest tenth)? $$\begin{array} { l | | l } 
\text { Boat Length (ft) } & \text { Draft (ft) } \
\hline 25 & 2.5 \
25 & 2 \
30 & 3 \
30 & 3.5 \
45 & 6 \
45 & 7 \
50 & 7 \
50 & 8
\end{array}$$

Accepted Answer

A)  10.5 
B)  10.3 
C)  9.7 
D)  15.7 
A)  10.5 
B)  10.3 
C)  9.7 
D)  15.7

Question 13

Find the vertex and axis of symmetry of the graph of the function.
-$f ( x ) = - 10 x ^ { 2 } - 2 x - 12$

Accepted Answer

A)  vertex $\left( \frac { 1 } { 10 } , \frac { 119 } { 10 } \right)$
intercept $( 0,12 )$
  
B)  vertex $\left( - \frac { 1 } { 10 } , \frac { 119 } { 10 } \right)$
intercept $( 0,12 )$
  
C)  vertex $\left( - \frac { 1 } { 10 } , - \frac { 119 } { 10 } \right)$
intercept $( 0 , - 12 )$
  
D)  vertex $\left( \frac { 1 } { 10 } , - \frac { 119 } { 10 } \right)$
intercept $( 0 , - 12 )$
  
A)  vertex $\left( \frac { 1 } { 10 } , \frac { 119 } { 10 } \right)$
intercept $( 0,12 )$
  
B)  vertex $\left( - \frac { 1 } { 10 } , \frac { 119 } { 10 } \right)$
intercept $( 0,12 )$
  
C)  vertex $\left( - \frac { 1 } { 10 } , - \frac { 119 } { 10 } \right)$
intercept $( 0 , - 12 )$
  
D)  vertex $\left( \frac { 1 } { 10 } , - \frac { 119 } { 10 } \right)$
intercept $( 0 , - 12 )$

Question 14

Determine the average rate of change for the function.
-f(x) = 9x + 5

Accepted Answer

A)  5 
B)  9 
C)  -5 
D)  -9 
A)  5 
B)  9 
C)  -5 
D)  -9

Question 15

Solve f(x) = g(x). Find the points of intersection of the graphs of the two functions.
-$$\begin{array} { l } 
f ( x ) = x ^ { 2 } + 9 x + 19 \
g ( x ) = 19
\end{array}$$

Accepted Answer

A)  $x = 0 , x = 9$ 
B)  $x = - 9 , x = 0$ 
C)  $x = \frac { 9 \pm \sqrt { 19 } } { 2 }$ 
D)  no real numbers 
A)  $x = 0 , x = 9$ 
B)  $x = - 9 , x = 0$ 
C)  $x = \frac { 9 \pm \sqrt { 19 } } { 2 }$ 
D)  no real numbers

Question 16

Graph the function f by starting with the graph of y = xS1U1P12S1S1P0 and using transformations (shifting, compressing, stretching,
and/or reflection).
-f(x)=x2+2x-8

Accepted Answer

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

Question 17

Determine where the function is increasing and where it is decreasing.
-$$g ( x ) = 6 x ^ { 2 } + 120 x + 564$$

Accepted Answer

A)  increasing on $( - \infty , - 10 )$
decreasing on $( - 10 , \infty )$ 
B)  decreasing on $( - \infty , 10 )$
increasing on $( 10 , \infty )$ 
C)  increasing on $( - \infty , - 60 )$
decreasing on $( - 60 , \infty )$ 
D)  decreasing on $( - \infty , - 10 )$
increasing on $( - 10 , \infty )$ 
A)  increasing on $( - \infty , - 10 )$
decreasing on $( - 10 , \infty )$ 
B)  decreasing on $( - \infty , 10 )$
increasing on $( 10 , \infty )$ 
C)  increasing on $( - \infty , - 60 )$
decreasing on $( - 60 , \infty )$ 
D)  decreasing on $( - \infty , - 10 )$
increasing on $( - 10 , \infty )$

Question 18

Use the slope and y-intercept to graph the linear function.
-$G ( x ) = 4 x$

Accepted Answer

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

Question 19

Find the complex zeros of the quadratic function.
Solve the inequality. Express your answer using interval notation. Graph the solution set.
-$|x|<-3$

Accepted Answer

A) $ ( - \infty , - 3 ]$
  
B)  $( - 3,3 )$
  
C) $( - \infty , - 3 ) \cup ( 3 , \infty )$
  
D) $\phi$
  
A) $ ( - \infty , - 3 ]$
  
B)  $( - 3,3 )$
  
C) $( - \infty , - 3 ) \cup ( 3 , \infty )$
  
D) $\phi$

Question 20

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 $1.60 per mile is added. Find an equation that can be used to determine the cost, C(x), of an x-mile taxi ride, and use this equation to find the cost of a 4-mile taxi ride.

Accepted Answer

A)  $10.25 
B)  $9.23 
C)  $9.53 
D)  $9.35 
A)  $10.25 
B)  $9.23 
C)  $9.53 
D)  $9.35

Graph the function. State whether it is increasing, decreasing, or constant.. -f(x)=8

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

Determine the quadratic function whose graph is given. -

Find the zeros of the quadratic function using the Square Root Method. List the x-intercepts of the graph of the function. - $h ( x ) = ( x + 7 ) ^ { 2 } - 16$

Find the real zeros of the function. List the x-intercepts of the graph of the function. - $f ( x ) = 4 ( x + 1 ) ^ { 2 } + 6 ( x + 1 ) + 2$

Graph the function. State whether it is increasing, decreasing, or constant.. - $h ( x ) = - \frac { 3 } { 5 } x - 1$ $Graph the function. State whether it is increasing, decreasing, or constant.. - h ( x ) = - \frac { 3 } { 5 } x - 1$

Determine the quadratic function whose graph is given. -A developer wants to enclose a rectangular grassy lot that borders a city street for parking. If the developer has 308 feet of fencing and does not fence the side along the street, what is the largest area that can be enclosed?

Determine the quadratic function whose graph is given. -The owner of a video store has determined that the cost C, in dollars, of operating the store is approximately given by C(x) = 2x² - 24x + 690, where x is the number of videos rented daily. Find the lowest cost to the nearest Dollar.

Graph the function. State whether it is increasing, decreasing, or constant.. - $f ( x ) = \frac { 3 } { 4 } x + 1$ $Graph the function. State whether it is increasing, decreasing, or constant.. - f ( x ) = \frac { 3 } { 4 } x + 1$

Find the vertex and axis of symmetry of the graph of the function. - $f ( x ) = - 10 x ^ { 2 } - 2 x - 12$ $Find the vertex and axis of symmetry of the graph of the function. - f ( x ) = - 10 x ^ { 2 } - 2 x - 12$

Determine the average rate of change for the function. -f(x) = 9x + 5

Solve f(x) = g(x). Find the points of intersection of the graphs of the two functions. - f(x)=+9x+19 g(x)=19

Graph the function f by starting with the graph of y = x² and using transformations (shifting, compressing, stretching, and/or reflection). -f(x)=x²+2x-8

Determine where the function is increasing and where it is decreasing. - $g ( x ) = 6 x ^ { 2 } + 120 x + 564$

Use the slope and y-intercept to graph the linear function. - $G ( x ) = 4 x$

Find the complex zeros of the quadratic function. Solve the inequality. Express your answer using interval notation. Graph the solution set. - $|x|<-3$

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

Graph the function. State whether it is increasing, decreasing, or constant.. -f(x)=8

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

Determine the quadratic function whose graph is given. -

Graph the function f by starting with the graph of y = x2 and using transformations (shifting, compressing, stretching, and/or reflection). - f(x)=−13x2f ( x ) = - \frac { 1 } { 3 } x ^ { 2 }f(x)=−31​x2

Find the zeros of the quadratic function using the Square Root Method. List the x-intercepts of the graph of the function. - h(x)=(x+7)2−16h ( x ) = ( x + 7 ) ^ { 2 } - 16h(x)=(x+7)2−16

Find the real zeros of the function. List the x-intercepts of the graph of the function. - f(x)=4(x+1)2+6(x+1)+2f ( x ) = 4 ( x + 1 ) ^ { 2 } + 6 ( x + 1 ) + 2f(x)=4(x+1)2+6(x+1)+2

Graph the function. State whether it is increasing, decreasing, or constant.. - h(x)=−35x−1h ( x ) = - \frac { 3 } { 5 } x - 1h(x)=−53​x−1

Determine the quadratic function whose graph is given. -A developer wants to enclose a rectangular grassy lot that borders a city street for parking. If the developer has 308 feet of fencing and does not fence the side along the street, what is the largest area that can be enclosed?

Determine the quadratic function whose graph is given. -The owner of a video store has determined that the cost C, in dollars, of operating the store is approximately given by C(x) = 2x2 - 24x + 690, where x is the number of videos rented daily. Find the lowest cost to the nearest Dollar.

Graph the function. State whether it is increasing, decreasing, or constant.. - f(x)=34x+1f ( x ) = \frac { 3 } { 4 } x + 1f(x)=43​x+1

Find the vertex and axis of symmetry of the graph of the function. - f(x)=−10x2−2x−12f ( x ) = - 10 x ^ { 2 } - 2 x - 12f(x)=−10x2−2x−12

Determine the average rate of change for the function. -f(x) = 9x + 5

Solve f(x) = g(x). Find the points of intersection of the graphs of the two functions. - f(x)=+9x+19 g(x)=19

Graph the function f by starting with the graph of y = x2 and using transformations (shifting, compressing, stretching, and/or reflection). -f(x)=x2+2x-8

Determine where the function is increasing and where it is decreasing. - g(x)=6x2+120x+564g ( x ) = 6 x ^ { 2 } + 120 x + 564g(x)=6x2+120x+564

Use the slope and y-intercept to graph the linear function. - G(x)=4xG ( x ) = 4 xG(x)=4x

Find the complex zeros of the quadratic function. Solve the inequality. Express your answer using interval notation. Graph the solution set. - ∣x∣<−3|x|<-3∣x∣<−3

Functions and Their Graphs

Polynomial and Rational Functions

Conics

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

Filters

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

Find the zeros of the quadratic function using the Square Root Method. List the x-intercepts of the graph of the function. - $h ( x ) = ( x + 7 ) ^ { 2 } - 16$

Find the real zeros of the function. List the x-intercepts of the graph of the function. - $f ( x ) = 4 ( x + 1 ) ^ { 2 } + 6 ( x + 1 ) + 2$

Graph the function. State whether it is increasing, decreasing, or constant.. - $h ( x ) = - \frac { 3 } { 5 } x - 1$ $Graph the function. State whether it is increasing, decreasing, or constant.. - h ( x ) = - \frac { 3 } { 5 } x - 1$

Determine the quadratic function whose graph is given. -The owner of a video store has determined that the cost C, in dollars, of operating the store is approximately given by C(x) = 2x² - 24x + 690, where x is the number of videos rented daily. Find the lowest cost to the nearest Dollar.

Graph the function. State whether it is increasing, decreasing, or constant.. - $f ( x ) = \frac { 3 } { 4 } x + 1$ $Graph the function. State whether it is increasing, decreasing, or constant.. - f ( x ) = \frac { 3 } { 4 } x + 1$

Find the vertex and axis of symmetry of the graph of the function. - $f ( x ) = - 10 x ^ { 2 } - 2 x - 12$ $Find the vertex and axis of symmetry of the graph of the function. - f ( x ) = - 10 x ^ { 2 } - 2 x - 12$

Graph the function f by starting with the graph of y = x² and using transformations (shifting, compressing, stretching, and/or reflection). -f(x)=x²+2x-8

Determine where the function is increasing and where it is decreasing. - $g ( x ) = 6 x ^ { 2 } + 120 x + 564$

Use the slope and y-intercept to graph the linear function. - $G ( x ) = 4 x$

Find the complex zeros of the quadratic function. Solve the inequality. Express your answer using interval notation. Graph the solution set. - $|x|<-3$