Question 1

Determine the average rate of change for the function.
-$$F ( x ) = - 5$$

Accepted Answer

A)  $- \frac { 1 } { 5 }$ 
B)  5 
C)  0 
D)  $- 5$ 
A)  $- \frac { 1 } { 5 }$ 
B)  5 
C)  0 
D)  $- 5$

Question 2

Match the graph to one of the listed functions.
-

Accepted Answer

A)  $f ( x ) = x ^ { 2 } - 12 x$ 
B)  $f ( x ) = - x ^ { 2 } - 12 x$ 
C)  $f ( x ) = x ^ { 2 } - 12$ 
D)  $f ( x ) = - x ^ { 2 } - 12$ 
A)  $f ( x ) = x ^ { 2 } - 12 x$ 
B)  $f ( x ) = - x ^ { 2 } - 12 x$ 
C)  $f ( x ) = x ^ { 2 } - 12$ 
D)  $f ( x ) = - x ^ { 2 } - 12$

Question 3

Find the real zeros of the function. List the x-intercepts of the graph of the function.
-$$f ( x ) = x ^ { 4 } - 1,296$$

Accepted Answer

A)  $x = - \sqrt { 6 } , x = \sqrt { 6 }$ 
B)  $x = - 36 , x = 36$ 
C)  $x = - 6 , x = 6$ 
D)  no real solution 
A)  $x = - \sqrt { 6 } , x = \sqrt { 6 }$ 
B)  $x = - 36 , x = 36$ 
C)  $x = - 6 , x = 6$ 
D)  no real solution

Question 4

Determine the quadratic function whose graph is given.
-

Accepted Answer

A)  $f ( x ) = x ^ { 2 } + 8 x + 2$ 
B)  $f ( x ) = - x ^ { 2 } - 4 x + 2$ 
C)  $f ( x ) = x ^ { 2 } - 4 x + 2$ 
D)  $f ( x ) = - x ^ { 2 } + 4 x - 2$ 
A)  $f ( x ) = x ^ { 2 } + 8 x + 2$ 
B)  $f ( x ) = - x ^ { 2 } - 4 x + 2$ 
C)  $f ( x ) = x ^ { 2 } - 4 x + 2$ 
D)  $f ( x ) = - x ^ { 2 } + 4 x - 2$

Question 5

Find the vertex and axis of symmetry of the graph of the function.
-$$f ( x ) = - 8 x ^ { 2 } - 2 x - 4$$

Accepted Answer

A)  $\left( - 8 , - \frac { 31 } { 8 } \right) ; x = - 8$ 
B)  $\left( \frac { 1 } { 8 } , \frac { 31 } { 8 } \right) ; x = \frac { 1 } { 8 }$ 
C)  $( 8 , - 4 ) ; x = 8$ 
D)  $\left( - \frac { 1 } { 8 } , - \frac { 31 } { 8 } \right) ; x = - \frac { 1 } { 8 }$ 
A)  $\left( - 8 , - \frac { 31 } { 8 } \right) ; x = - 8$ 
B)  $\left( \frac { 1 } { 8 } , \frac { 31 } { 8 } \right) ; x = \frac { 1 } { 8 }$ 
C)  $( 8 , - 4 ) ; x = 8$ 
D)  $\left( - \frac { 1 } { 8 } , - \frac { 31 } { 8 } \right) ; x = - \frac { 1 } { 8 }$

Question 6

Find the real zeros, if any, of each quadratic function using the quadratic formula. List the x-intercepts, if any, of the
graph of the function.
-$$H ( x ) = 5 x ^ { 2 } - 39 x - 8$$

Accepted Answer

A)  $x = - \frac { 1 } { 5 } , x = 8$ 
B)  $x = - \frac { 1 } { 8 } , x = - 5$ 
C)  $x = - 5 , x = 8$ 
D)  $x = - \frac { 1 } { 8 } , x = 5$ 
A)  $x = - \frac { 1 } { 5 } , x = 8$ 
B)  $x = - \frac { 1 } { 8 } , x = - 5$ 
C)  $x = - 5 , x = 8$ 
D)  $x = - \frac { 1 } { 8 } , x = 5$

Question 7

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

Accepted Answer

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

Question 8

Solve the problem.
-A ball is thrown vertically upward from the top of a building 144 feet tall with an initial velocity of 128 feet per second. The distance s (in feet) of the ball from the ground after t seconds is $$\mathrm { s } = 144 + 128 \mathrm { t } - 16 \mathrm { t } ^ { 2 }$$ . After how
Many seconds does the ball strike the ground?

Accepted Answer

A)  9 sec 
B)  145 sec 
C)  11 sec 
D)  8 sec 
A)  9 sec 
B)  145 sec 
C)  11 sec 
D)  8 sec

Question 9

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 10

Use factoring to find the zeros of the quadratic function. List the x-intercepts of the graph of the function.
-$$g ( x ) = 16 x ^ { 2 } - 1$$

Accepted Answer

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

Question 11

Solve the inequality.
-$30 \left( x ^ { 2 } - 1 \right) > 11 x$

Accepted Answer

A)  $\left( - \infty , - \frac { 5 } { 6 } \right)$ or $\left( \frac { 6 } { 5 } , \infty \right)$ 
B)  $\left( - \frac { 6 } { 5 } , \frac { 5 } { 6 } \right)$ 
C)  $\left( - \infty , - \frac { 6 } { 5 } \right)$ or $\left( \frac { 5 } { 6 } , \infty \right)$ 
D)  $\left( - \frac { 5 } { 6 } , \frac { 6 } { 5 } \right)$ 
A)  $\left( - \infty , - \frac { 5 } { 6 } \right)$ or $\left( \frac { 6 } { 5 } , \infty \right)$ 
B)  $\left( - \frac { 6 } { 5 } , \frac { 5 } { 6 } \right)$ 
C)  $\left( - \infty , - \frac { 6 } { 5 } \right)$ or $\left( \frac { 5 } { 6 } , \infty \right)$ 
D)  $\left( - \frac { 5 } { 6 } , \frac { 6 } { 5 } \right)$

Question 12

Solve the problem.
-The following data represents the Olympic winning time in Women's 100 m Freestyle. $$\begin{array} { c | c c c c c c c } 
\text { year } & 1972 & 1976 & 1980 & 1984 & 1988 & 1992 & 1996 \
\hline \text { time } & 58.59 & 55.65 & 54.79 & 55.92 & 54.93 & 54.65 & 54.50
\end{array}$$ 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 13

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

Accepted Answer

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

Question 14

Solve the problem.
-A projectile is thrown upward so that its distance above the ground after t seconds is $$h = - 10 t ^ { 2 } + 320 t$$ After how many seconds does it reach its maximum height?

Accepted Answer

A)  32 s 
B)  16 s 
C)  8 s 
D)  24 s 
A)  32 s 
B)  16 s 
C)  8 s 
D)  24 s

Question 15

Graph the function f by starting with the graph of y $y = x ^ { 2 }$ and using transformations (shifting, compressing, stretching,
and/or reflection).
-$f(x)=x^{2}+6 x+5$
 
 A)

Accepted Answer

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

Question 16

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 -2 C) x > 1 D) x < -2 A) x -2 C) x > 1 D) x < -2

Question 17

Find the real zeros, if any, of each quadratic function using the quadratic formula. List the x-intercepts, if any, of the
graph of the function.
-$$G ( x ) = x ^ { 2 } + 7 x - 18$$

Accepted Answer

A)  $x = - 9 , x = 2$ 
B)  $x = 9 , x = 2$ 
C)  $x = - 9 , x = - 2$ 
D)  $x = 9 , x = - 2$ 
A)  $x = - 9 , x = 2$ 
B)  $x = 9 , x = 2$ 
C)  $x = - 9 , x = - 2$ 
D)  $x = 9 , x = - 2$

Question 18

Determine the slope and y-intercept of the function.
-F(x) = 1

Accepted Answer

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

Question 19

Solve the equation.
-$$\left| \frac { 1 } { 3 } x - 8 \right| = 4$$

Accepted Answer

A)  $\{ 36 \}$ 
B)  $\{ 12 \}$ 
C)  $\{ 12,36,0 \}$ 
D)  $\{ 12,36 \}$ 
A)  $\{ 36 \}$ 
B)  $\{ 12 \}$ 
C)  $\{ 12,36,0 \}$ 
D)  $\{ 12,36 \}$

Question 20

Solve the problem.
-The following data represents the amount of money Tom is saving each month since he graduated from college. $$\begin{array} { l | c c c c c c c } 
\text { month } & 1 & 2 & 3 & 4 & 5 & 6 & 7 \
\hline \text { savings } & \$ 52 & \$ 70 & \$ 81 & \$ 91 & \$ 102 & \$ 118 & \$ 132
\end{array}$$ Find the slope of the line of best fit for the data set and interpret it.

Accepted Answer

The slope is 12.75 w

Determine the average rate of change for the function. - $F ( x ) = - 5$

Match the graph to one of the listed functions. -

Find the real zeros of the function. List the x-intercepts of the graph of the function. - $f ( x ) = x ^ { 4 } - 1,296$

Determine the quadratic function whose graph is given. -

Find the vertex and axis of symmetry of the graph of the function. - $f ( x ) = - 8 x ^ { 2 } - 2 x - 4$

Find the real zeros, if any, of each quadratic function using the quadratic formula. List the x-intercepts, if any, of the graph of the function. - $H ( x ) = 5 x ^ { 2 } - 39 x - 8$

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

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

Use factoring to find the zeros of the quadratic function. List the x-intercepts of the graph of the function. - $g ( x ) = 16 x ^ { 2 } - 1$

Solve the inequality. - $30 \left( x ^ { 2 } - 1 \right) > 11 x$

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

Solve the problem. -A projectile is thrown upward so that its distance above the ground after t seconds is $h = - 10 t ^ { 2 } + 320 t$ After how many seconds does it reach its maximum height?

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).

Find the real zeros, if any, of each quadratic function using the quadratic formula. List the x-intercepts, if any, of the graph of the function. - $G ( x ) = x ^ { 2 } + 7 x - 18$

Determine the slope and y-intercept of the function. -F(x) = 1

Solve the equation. - $\left| \frac { 1 } { 3 } x - 8 \right| = 4$

Solve the problem. -The following data represents the amount of money Tom is saving each month since he graduated from college. month 1 2 3 4 5 6 7 savings \ 52 \ 70 \ 81 \ 91 \ 102 \ 118 \ 132 Find the slope of the line of best fit for the data set and interpret it.

Functions and Their Graphs

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Analytic Trigonometry

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Exam 2: Linear and Quadratic Functions

Determine the average rate of change for the function. - F(x)=−5F ( x ) = - 5F(x)=−5