Question 1

Determine if the function is increasing or decreasing over the interval indicated.
-$y = 4 x ^ { 2 } ; x > 0$

Accepted Answer

A)  Increasing 
B)  Decreasing 
A)  Increasing 
B)  Decreasing

Question 2

Find the exact solutions to the quadratic equation in the complex numbers.
-$$x ^ { 2 } + 225 = 0$$

Accepted Answer

A)  $15 \mathrm { i }$ 
B)  $\pm 15 \mathrm { i }$ 
C)  $- 112.5 \mathrm { i }$ 
D)  $\pm 15$ 
A)  $15 \mathrm { i }$ 
B)  $\pm 15 \mathrm { i }$ 
C)  $- 112.5 \mathrm { i }$ 
D)  $\pm 15$

Question 3

Use the graph of the function to estimate the x-intercepts.
-$f(x)=4 x^{2}-19 x-5$

Accepted Answer

A)  $x = - 0.25 , x = 5$ 
B)  $x = - 1 , x = 20$ 
C)  $x = - 5 , x = 0.25$ 
D)  $x = 4 , x = - 5$ 
A)  $x = - 0.25 , x = 5$ 
B)  $x = - 1 , x = 20$ 
C)  $x = - 5 , x = 0.25$ 
D)  $x = 4 , x = - 5$

Question 4

You are given a graph of a function of the form $f ( x ) = a x ^ { 2 } + b x + c$ for different values of $a , b$, and $c$. For this function,
a. Determine whether the discriminant is positive, negative, or zero.
b. Determine if there are 0,1 , or 2 real solutions to $f ( x ) = 0$.
c. Solve the equation $f ( x ) = 0$.
-

Accepted Answer

A)  a. negative
b. 2
c. $x = \langle a \rangle , x = 2$ 
B)  a. positive
b. 2
c. $x = - 1 , x = - 2$ 
C)  a.zero
b. 2
c. $x = - 1 , x = 2$ 
D)  a. positive
b. 2
C. $x = - 1 , x = 2$ 
A)  a. negative
b. 2
c. $x = \langle a \rangle , x = 2$ 
B)  a. positive
b. 2
c. $x = - 1 , x = - 2$ 
C)  a.zero
b. 2
c. $x = - 1 , x = 2$ 
D)  a. positive
b. 2
C. $x = - 1 , x = 2$

Question 5

Give the coordinates of the vertex and graph the equation in a window that includes the vertex.
-$y=(x-17)^{2}+8$

Accepted Answer

A)  Vertex: $( - 17,8 )$
  
B)  Vertex: $( 8,17 )$
  
C)  Vertex: $( 17,8 )$
  
D)  Vertex: $( 8 , - 17 )$
  
A)  Vertex: $( - 17,8 )$
  
B)  Vertex: $( 8,17 )$
  
C)  Vertex: $( 17,8 )$
  
D)  Vertex: $( 8 , - 17 )$

Question 6

Write the equation of the quadratic function whose graph is a parabola containing the given points.
-$( 0,3 ) , ( 3,15 ) , ( - 3,27 )$

Accepted Answer

A)  $y = 2 x ^ { 2 } + 2 x + 1$ 
B)  $y = 3 x ^ { 2 } - 2 x + 3$ 
C)  $y = 2 x ^ { 2 } - 2 x + 3$ 
D)  $y = 2 x ^ { 2 } - x + 3$ 
A)  $y = 2 x ^ { 2 } + 2 x + 1$ 
B)  $y = 3 x ^ { 2 } - 2 x + 3$ 
C)  $y = 2 x ^ { 2 } - 2 x + 3$ 
D)  $y = 2 x ^ { 2 } - x + 3$

Question 7

Graph
-$f(x)=2|x|-3$

Accepted Answer

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

Question 8

Use factoring to solve the equation
-$$6 n ^ { 2 } + 14 n = 0$$

Accepted Answer

A) $ - \frac { 7 } { 3 } , 14$ 
B)  $- \frac { 7 } { 3 }$ 
C)  0 
D)  $- \frac { 7 } { 3 } , 0$ 
A) $ - \frac { 7 } { 3 } , 14$ 
B)  $- \frac { 7 } { 3 }$ 
C)  0 
D)  $- \frac { 7 } { 3 } , 0$

Question 9

You are given a graph of a function of the form $f ( x ) = a x ^ { 2 } + b x + c$ for different values of $a , b$, and $c$. For this function,
a. Determine whether the discriminant is positive, negative, or zero.
b. Determine if there are 0,1 , or 2 real solutions to $f ( x ) = 0$.
c. Solve the equation $f ( x ) = 0$.
-If an object is propelled upward from a height of 96 feet at an initial velocity of 64 feet per second, then its height after t seconds is given by the equation $$h = - 16 t ^ { 2 } + 64 t + 96$$ , where h is in feet. After how many seconds
Will the object reach a height of 160 feet?

Accepted Answer

A)  1 sec 
B)  4 sec 
C)  8 sec 
D)  2 sec 
A)  1 sec 
B)  4 sec 
C)  8 sec 
D)  2 sec

Question 10

Find the requested value.
-$f ( 4 )$ for $f ( x ) = \left\{ \begin{array} { c l } 6 x + 6 & \text { if } x \leq 0 \ 4 - 3 x & \text { if } 0 < x < 3 \ x & \text { if } x \geq 3 \end{array} \right.$

Accepted Answer

A)  3 
B)  $- 8$ 
C)  30 
D)  4 
A)  3 
B)  $- 8$ 
C)  30 
D)  4

Question 11

Graph
-$y=x^{4}-3$

Accepted Answer

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

Question 12

Solve the equation.
-$$\left| x ^ { 2 } - 81 \right| = 0$$

Accepted Answer

A)  $- 9$ 
B)  $81 , - 81$ 
C)  $9 , - 9$ 
D)  9 
A)  $- 9$ 
B)  $81 , - 81$ 
C)  $9 , - 9$ 
D)  9

Question 13

Find a quadratic function that best fits the data. Give answers to the nearest hundredth.
-$\begin{array}{c|c|c|c|c}
x & 2 & 6 & 8 & 15 \
\hline y & 35 & 95 & 116 & 78
\end{array}$

Accepted Answer

A)  $y = - 1.40 x ^ { 2 } + 27.15 x - 14.44$ 
B)  $y = - 0.03 + 3.78 x - 6.74$ 
C)  $y = 1.40 x ^ { 2 } + 27.15 x + 14.44$ 
D)  $y = 5.66 x ^ { 2 } - 39.888 x + 99.29$ 
A)  $y = - 1.40 x ^ { 2 } + 27.15 x - 14.44$ 
B)  $y = - 0.03 + 3.78 x - 6.74$ 
C)  $y = 1.40 x ^ { 2 } + 27.15 x + 14.44$ 
D)  $y = 5.66 x ^ { 2 } - 39.888 x + 99.29$

Question 14

Find a power function that models the data in the table. Round to three decimal places if necessary.
-$\begin{array}{c|lllllllcc}
\mathrm{x} & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 \
\hline \mathrm{y} & 5 & 13 & 27 & 39 & 59 & 74 & 96 & 116 & 136
\end{array}$

Accepted Answer

A)  $y = 6.275 x - 1.466$ 
B)  $y = 1.525 x 4.857$ 
C)  $y = 4.857 x + 1.525$ 
D)  $y = 16.767 x - 21.056$ 
A)  $y = 6.275 x - 1.466$ 
B)  $y = 1.525 x 4.857$ 
C)  $y = 4.857 x + 1.525$ 
D)  $y = 16.767 x - 21.056$

Question 15

Determine whether a linear or quadratic function would be a more appropriate model for the graphed data. If linear, tell whether the slope should be positive or negative. If quadratic, decide whether the coefficient of x2
Should be positive or negative. $\text {CRIME STATISTICS}$

$\text {Years since 2000}$

Accepted Answer

A)  Linear; negative 
B)  Linear; positive 
C)  Quadratic; positive 
D)  Quadratic; negative 
A)  Linear; negative 
B)  Linear; positive 
C)  Quadratic; positive 
D)  Quadratic; negative

Question 16

Use the quadratic formula to
-$$4 m ^ { 2 } + 12 m + 4 = 0$$

Accepted Answer

A)  $\frac { - 3 \pm \sqrt { 5 } } { 8 }$ 
B)  $\frac { - 3 \pm \sqrt { 5 } } { 2 }$ 
C)  $\frac { - 12 \pm \sqrt { 5 } } { 2 }$ 
D)  $\frac { - 3 \pm \sqrt { 13 } } { 2 }$ 
A)  $\frac { - 3 \pm \sqrt { 5 } } { 8 }$ 
B)  $\frac { - 3 \pm \sqrt { 5 } } { 2 }$ 
C)  $\frac { - 12 \pm \sqrt { 5 } } { 2 }$ 
D)  $\frac { - 3 \pm \sqrt { 13 } } { 2 }$

Question 17

Use the graph of the function to estimate the x-intercepts.
-$y=x^{2}+3 x-18$

Accepted Answer

A)  $x = - 6 , x = 3$ 
B)  $x = - 3 , x = 6$ 
C)  $x = - 3 , x = 18$ 
D)  $x = 0$ 
A)  $x = - 6 , x = 3$ 
B)  $x = - 3 , x = 6$ 
C)  $x = - 3 , x = 18$ 
D)  $x = 0$

Question 18

Determine whether a linear or quadratic function would be a more appropriate model for the graphed data. If linear, tell whether the slope should be positive or negative. If quadratic, decide whether the coefficient of $x ^ { 2 }$ should be positive or negative. $\text {DENTAL FLOSS USE}$
 
$\text {Years since 2000}$

Accepted Answer

A)  Quadratic; positive 
B)  Quadratic; negative 
C)  Linear; negative 
D)  Linear; positive 
A)  Quadratic; positive 
B)  Quadratic; negative 
C)  Linear; negative 
D)  Linear; positive

Question 19

Use the graph of the function to estimate the x-intercepts.
-$f(x)=4 x^{2}-20 x+21$

Accepted Answer

A)  $x = - 29 , x = 21$ 
B)  $x = - 3.5 , x = - 1.5$ 
C)  $x = 1.5 , x = 3.5$ 
D)  $x = 6 , x = 14$ 
A)  $x = - 29 , x = 21$ 
B)  $x = - 3.5 , x = - 1.5$ 
C)  $x = 1.5 , x = 3.5$ 
D)  $x = 6 , x = 14$

Question 20

Solve the equation.
-$$\left| 9 + \frac { 1 } { 6 } x \right| = 3$$

Accepted Answer

A)  $- 72 , - 36$ 
B)  36,72 
C)  $72 , - 36$ 
D)  $- 36$ 
A)  $- 72 , - 36$ 
B)  36,72 
C)  $72 , - 36$ 
D)  $- 36$

Determine if the function is increasing or decreasing over the interval indicated. - $y = 4 x ^ { 2 } ; x > 0$

Find the exact solutions to the quadratic equation in the complex numbers. - $x ^ { 2 } + 225 = 0$

Use the graph of the function to estimate the x-intercepts. - $f(x)=4 x^{2}-19 x-5$ $Use the graph of the function to estimate the x-intercepts. - f(x)=4 x^{2}-19 x-5$

Give the coordinates of the vertex and graph the equation in a window that includes the vertex. - $y=(x-17)^{2}+8$ $Give the coordinates of the vertex and graph the equation in a window that includes the vertex. - y=(x-17)^{2}+8$

Write the equation of the quadratic function whose graph is a parabola containing the given points. - $( 0,3 ) , ( 3,15 ) , ( - 3,27 )$

Graph - $f(x)=2|x|-3$

Use factoring to solve the equation - $6 n ^ { 2 } + 14 n = 0$

Find the requested value. - $f ( 4 )$ for $f ( x ) = \left\{ \begin{array} { c l } 6 x + 6 & \text { if } x \leq 0 \\ 4 - 3 x & \text { if } 0 < x < 3 \\ x & \text { if } x \geq 3 \end{array} \right.$

Graph - $y=x^{4}-3$ $Graph - y=x^{4}-3$

Solve the equation. - $\left| x ^ { 2 } - 81 \right| = 0$

Find a quadratic function that best fits the data. Give answers to the nearest hundredth. - x 2 6 8 15 y 35 95 116 78

Find a power function that models the data in the table. Round to three decimal places if necessary. - 1 2 3 4 5 6 7 8 9 5 13 27 39 59 74 96 116 136

Use the quadratic formula to - $4 m ^ { 2 } + 12 m + 4 = 0$

Use the graph of the function to estimate the x-intercepts. - $y=x^{2}+3 x-18$ $Use the graph of the function to estimate the x-intercepts. - y=x^{2}+3 x-18$

Use the graph of the function to estimate the x-intercepts. - $f(x)=4 x^{2}-20 x+21$ $Use the graph of the function to estimate the x-intercepts. - f(x)=4 x^{2}-20 x+21$

Solve the equation. - $\left| 9 + \frac { 1 } { 6 } x \right| = 3$

Functions, Graphs, and Models; Linear Functions

Linear Models, Equations, and Inequalities

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Exponential and Logarithmic Functions

Higher-Degree Polynomial and Rational Functions

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Exam 3: Quadratic, Piecewise-Defined, and Power Functions

Determine if the function is increasing or decreasing over the interval indicated. - y=4x2;x>0y = 4 x ^ { 2 } ; x > 0y=4x2;x>0

Find the exact solutions to the quadratic equation in the complex numbers. - x2+225=0x ^ { 2 } + 225 = 0x2+225=0

Use the graph of the function to estimate the x-intercepts. - f(x)=4x2−19x−5f(x)=4 x^{2}-19 x-5f(x)=4x2−19x−5

Give the coordinates of the vertex and graph the equation in a window that includes the vertex. - y=(x−17)2+8y=(x-17)^{2}+8y=(x−17)2+8

Write the equation of the quadratic function whose graph is a parabola containing the given points. - (0,3),(3,15),(−3,27)( 0,3 ) , ( 3,15 ) , ( - 3,27 )(0,3),(3,15),(−3,27)

Graph - f(x)=2∣x∣−3f(x)=2|x|-3f(x)=2∣x∣−3

Use factoring to solve the equation - 6n2+14n=06 n ^ { 2 } + 14 n = 06n2+14n=0

Graph - y=x4−3y=x^{4}-3y=x4−3

Solve the equation. - ∣x2−81∣=0\left| x ^ { 2 } - 81 \right| = 0​x2−81​=0