Question 1

Use the slope and y-intercept to graph the linear function.
-f(x) = 2x - 2

Accepted Answer

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

Question 2

Determine the average rate of change for the function.
-$$h ( x ) = - \frac { 1 } { 2 } x - 1$$

Accepted Answer

A)  $- 1$ 
B)  $\frac { 1 } { 2 }$ 
C)  $- \frac { 1 } { 2 }$ 
D)  1 
A)  $- 1$ 
B)  $\frac { 1 } { 2 }$ 
C)  $- \frac { 1 } { 2 }$ 
D)  1

Question 3

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary.
-$$\begin{array} { c | c c c c c } 
x & 2 & 3 & 7 & 8 & 10 \
\hline \mathrm { y } & 2 & 4 & 4 & 6 & 6
\end{array}$$

Accepted Answer

A)  y = 1.79x - 1.86 
B)  y = -1.86x + 1.79 
C)  y = 1.79x + 0.43 
D)  y = 0.43x + 1.79 
A)  y = 1.79x - 1.86 
B)  y = -1.86x + 1.79 
C)  y = 1.79x + 0.43 
D)  y = 0.43x + 1.79

Question 4

Graph the function. State whether it is increasing, decreasing, or constant..
-f(x)=2x+3

Accepted Answer

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

Question 5

Use factoring to find the zeros of the quadratic function. List the x-intercepts of the graph of the function.
-$$f ( x ) = x ^ { 2 } - 3 x - 108$$

Accepted Answer

A)  x = 12, x = 9 
B)  x = 12, x = -9 
C)  x = -12, x = 9 
D)  x = -12, x = 1 
A)  x = 12, x = 9 
B)  x = 12, x = -9 
C)  x = -12, x = 9 
D)  x = -12, x = 1

Question 6

Determine the slope and y-intercept of the function.
-h(x) = -11x - 10

Accepted Answer

A)  m = -11; b = - 10 
B)  m = 11; b = - 10 
C)  m = -11; b = 10 
D)  m = 11; b = 10 
A)  m = -11; b = - 10 
B)  m = 11; b = - 10 
C)  m = -11; b = 10 
D)  m = 11; b = 10

Question 7

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 8

Solve the problem.
-The length of a vegetable garden is 5 feet longer than its width. If the area of the garden is 50 square feet, find its dimensions.

Accepted Answer

A)  4 ft by 11 ft 
B)  4 ft by 9 ft 
C)  5 ft by 10 ft 
D)  6 ft by 11 ft 
A)  4 ft by 11 ft 
B)  4 ft by 9 ft 
C)  5 ft by 10 ft 
D)  6 ft by 11 ft

Question 9

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary.
-$$\begin{array} { c | c c c c } 
\mathrm { x } & 2 & 4 & 5 & 6 \
\hline \mathrm { y } & 7 & 11 & 13 & 20
\end{array}$$

Accepted Answer

A)  y = 2.8x 
B)  y = 3x + 0.15 
C)  y = 2.8x + 0.15 
D)  y = 3x 
A)  y = 2.8x 
B)  y = 3x + 0.15 
C)  y = 2.8x + 0.15 
D)  y = 3x

Question 10

Solve the problem.
-Suppose that the quantity supplied S and quantity demanded D of baseball caps at a major league game are given by the functions S(p) = 3230 - 90p and D(p) = 100p, where p is the price. Find the equilibrium price for
Caps at the game. Then find the equilibrium quantity.

Accepted Answer

A)  $32, $350 
B)  $10, $2330 
C)  $17, $1700 
D)  $10, $1700 
A)  $32, $350 
B)  $10, $2330 
C)  $17, $1700 
D)  $10, $1700

Question 11

Find the real zeros of the function. List the x-intercepts of the graph of the function.
-$$F ( x ) = x ^ { 4 } - 26 x ^ { 2 } + 25$$

Accepted Answer

A)  $x = - 5 , x = 5$ 
B)  $x = - 26 , x = 26$ 
C)  $x = - 25 , x = 25$ 
D)  $x = - 1 , x = 1 , x = - 5 , x = 5$ 
A)  $x = - 5 , x = 5$ 
B)  $x = - 26 , x = 26$ 
C)  $x = - 25 , x = 25$ 
D)  $x = - 1 , x = 1 , x = - 5 , x = 5$

Question 12

Determine the quadratic function whose graph is given.
-If a rocket is propelled upward from ground level, its height in meters after t seconds is given by h = -9.8t2 + 117.6t. During what interval of time will the rocket be higher than 343 m?

Accepted Answer

A)  0 < t < 5 
B)  7 < t < 10 
C)  10 < t < 12 
D)  5 < t < 7 
A)  0 < t < 5 
B)  7 < t < 10 
C)  10 < t < 12 
D)  5 < t < 7

Question 13

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.  
 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

M(x) = 0.0

Question 14

Use a graphing calculator to plot the data and find the quadratic function of best fit.
-The following data represents the total revenue, R (in dollars), received from selling x bicycles at Tunney's
Bicycle Shop. Using a graphing utility, find the quadratic function of best fit using coefficients rounded to the
nearest hundredth. $$\begin{array} { c | c } 
\text { Number of Bicycles, } x & \text { Total Revenue, R (in dollars) } \
\hline 0 & 0 \
22 & 27,000 \
70 & 46,000 \
96 & 55,200 \
149 & 61,300 \
200 & 64,000 \
230 & 64,500 \
250 & 67,000
\end{array}$$

Accepted Answer

R(x) = -1.

Question 15

Find the zeros of the quadratic function by completing the square. List the x-intercepts of the graph of the function.
-$$f ( x ) = x ^ { 2 } + \frac { 5 } { 5 } x + \frac { 2 } { 25 }$$

Accepted Answer

A)  $x = \frac { 1 } { 5 } , x = - \frac { 2 } { 5 }$ 
B)  $x = - \frac { 1 } { 5 } , x = \frac { 2 } { 5 }$ 
C)  $x = \frac { 1 } { 5 } , x = \frac { 2 } { 5 }$ 
D)  $x = - \frac { 1 } { 5 } , x = - \frac { 2 } { 5 }$ 
A)  $x = \frac { 1 } { 5 } , x = - \frac { 2 } { 5 }$ 
B)  $x = - \frac { 1 } { 5 } , x = \frac { 2 } { 5 }$ 
C)  $x = \frac { 1 } { 5 } , x = \frac { 2 } { 5 }$ 
D)  $x = - \frac { 1 } { 5 } , x = - \frac { 2 } { 5 }$

Question 16

Determine the quadratic function whose graph is given.
-A coin is tossed upward from a balcony 320 ft high with an initial velocity of 32 ft/sec. During what interval of time will the coin be at a height of at least 80 ft? (h = -16t2 + vot + ho.)

Accepted Answer

A)  4 ≤ t ≤5 
B)  0 ≤ t ≤ 1 
C)  5 ≤ t ≤10 
D)  0 ≤ t ≤5 
A)  4 ≤ t ≤5 
B)  0 ≤ t ≤ 1 
C)  5 ≤ t ≤10 
D)  0 ≤ t ≤5

Question 17

Use a graphing calculator to plot the data and find the quadratic function of best fit.
-A small manufacturing firm collected the following data on advertising expenditures (in thousands of dollars) and total revenue (in thousands of dollars). $$\begin{array} { c | c } 
\text { Advertising, } \mathrm { x } & \text { Total Revenue, } \mathrm { R } \
\hline 25 & 6430 \
28 & 6432 \
31 & 6434 \
32 & 6434 \
34 & 6434 \
39 & 6431 \
40 & 6432 \
45 & 6420
\end{array}$$ Find the quadratic function of best fit.

Accepted Answer

A)  R(x) = -0.31x2 + 2.63x + 6128 
B)  R(x) = -0.024x2 + 7.13x + 6209 
C)  R(x) = -0.091x2 + 5.95x + 6337 
D)  R(x) = -0.015x2 + 4.53x + 6123 
A)  R(x) = -0.31x2 + 2.63x + 6128 
B)  R(x) = -0.024x2 + 7.13x + 6209 
C)  R(x) = -0.091x2 + 5.95x + 6337 
D)  R(x) = -0.015x2 + 4.53x + 6123

Question 18

Solve the problem.
-A truck rental company rents a moving truck one day by charging $29 plus $0.11 per mile. Write a linear equation that relates the cost C, in dollars, of renting the truck to the number x of miles driven. What is the cost
Of renting the truck if the truck is driven 180 miles?

Accepted Answer

A)  C(x) = 0.11x + 29; $48.80 
B)  C(x) = 0.11x - 29; -$9.20 
C)  C(x) = 29x + 0.11; $5220.11 
D)  C(x) = 0.11x + 29; $30.98 
A)  C(x) = 0.11x + 29; $48.80 
B)  C(x) = 0.11x - 29; -$9.20 
C)  C(x) = 29x + 0.11; $5220.11 
D)  C(x) = 0.11x + 29; $30.98

Question 19

Solve the problem.
-Suppose that f(x) = -x - 9 and g(x) = x - 12. (a) Solve f(x) = 0.
(b) Solve g(x) = 0.
(c) Solve f(x) = g(x).

Accepted Answer

A)  (a) x = -9; (b) x = -12; (c) x = 1.5 
B)  (a) x = 9; (b) x = 12; (c) x = 1.5 
C)  (a) x = -9; (b) x = 12; (c) x = 1.5 
D)  (a) x = -9; (b) x = 12; (c) x = -10.5 
A)  (a) x = -9; (b) x = -12; (c) x = 1.5 
B)  (a) x = 9; (b) x = 12; (c) x = 1.5 
C)  (a) x = -9; (b) x = 12; (c) x = 1.5 
D)  (a) x = -9; (b) x = 12; (c) x = -10.5

Question 20

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

Accepted Answer

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

Use the slope and y-intercept to graph the linear function. -f(x) = 2x - 2

Determine the average rate of change for the function. - $h ( x ) = - \frac { 1 } { 2 } x - 1$

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. - x 2 3 7 8 10 2 4 4 6 6

Graph the function. State whether it is increasing, decreasing, or constant.. -f(x)=2x+3

Use factoring to find the zeros of the quadratic function. List the x-intercepts of the graph of the function. - $f ( x ) = x ^ { 2 } - 3 x - 108$

Determine the slope and y-intercept of the function. -h(x) = -11x - 10

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

Solve the problem. -The length of a vegetable garden is 5 feet longer than its width. If the area of the garden is 50 square feet, find its dimensions.

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. - 2 4 5 6 7 11 13 20

Solve the problem. -Suppose that the quantity supplied S and quantity demanded D of baseball caps at a major league game are given by the functions S(p) = 3230 - 90p and D(p) = 100p, where p is the price. Find the equilibrium price for Caps at the game. Then find the equilibrium quantity.

Find the real zeros of the function. List the x-intercepts of the graph of the function. - $F ( x ) = x ^ { 4 } - 26 x ^ { 2 } + 25$

Determine the quadratic function whose graph is given. -If a rocket is propelled upward from ground level, its height in meters after t seconds is given by h = -9.8t² + 117.6t. During what interval of time will the rocket be higher than 343 m?

Find the zeros of the quadratic function by completing the square. List the x-intercepts of the graph of the function. - $f ( x ) = x ^ { 2 } + \frac { 5 } { 5 } x + \frac { 2 } { 25 }$

Determine the quadratic function whose graph is given. -A coin is tossed upward from a balcony 320 ft high with an initial velocity of 32 ft/sec. During what interval of time will the coin be at a height of at least 80 ft? (h = -16t² + vot + ho.)

Solve the problem. -A truck rental company rents a moving truck one day by charging $29 plus $0.11 per mile. Write a linear equation that relates the cost C, in dollars, of renting the truck to the number x of miles driven. What is the cost Of renting the truck if the truck is driven 180 miles?

Solve the problem. -Suppose that f(x) = -x - 9 and g(x) = x - 12. (a) Solve f(x) = 0. (b) Solve g(x) = 0. (c) Solve f(x) = g(x).

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

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