Question 1

Graph the equation by plotting points.
-$$y ^ { 2 } - x + 4 = 0$$

Accepted Answer

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

Question 2

Write the word or phrase that best completes each statement or answers the question.
Provide the missing information.
-An odd function is symmetric with respect to the .

Accepted Answer

The answer of Write the word or phrase that best...

Question 3

Graph the function.
-$$f ( x ) = \operatorname { int } ( x + 3 )$$

Accepted Answer

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

Question 4

Write the word or phrase that best completes each statement or answers the question.Provide the missing information.
-Let h represent a positive real number. Given a function defined by y = f (x), the difference quotient
is given by .

Accepted Answer

The answer of Write the word or phrase that best...

Question 5

Write a function defined by y = f (x) subject to the following conditions.
-The value of $f ( x )$ is four more than eight times $x$.

Accepted Answer

A)  $f ( x ) = 4 x + 8$ 
B)  $f ( x ) = 4 x - 8$ 
C)  $f ( x ) = 8 x - 4$ 
D)  $f ( x ) = 8 x + 4$ 
A)  $f ( x ) = 4 x + 8$ 
B)  $f ( x ) = 4 x - 8$ 
C)  $f ( x ) = 8 x - 4$ 
D)  $f ( x ) = 8 x + 4$

Question 6

Write the word or phrase that best completes each statement or answers the question.
Provide the missing information.
-Let c represent a positive real number. The graph of y = f (x) - c is the graph of y = f (x) shifted
(up/down/left/right) c units.

Accepted Answer

The answer of Write the word or phrase that best...

Question 7

Determine the x- and y-intercepts of the graph whose points are defined in the table.
-$\begin{array}{c|l|l|l|l|l|l}
x & -5 & 0 & 5 & 10 & 15 & 20 \
\hline y & 9 & 7 & 2 & 0 & -2 & -9
\end{array}$

Accepted Answer

A)  $x$-intercept: $( 7,0 ) ; y$-intercept: $( 0,10 )$ 
B)  $x$-intercept: $( 0,7 ) ; y$-intercept: $( 10,0 )$ 
C)  $x$-intercept: $( 10,0 ) ; y$-intercept: $( 0,7 )$ 
D)  $x$-intercept: $( 0,10 ) ; y$-intercept: $( 7,0 )$ 
A)  $x$-intercept: $( 7,0 ) ; y$-intercept: $( 0,10 )$ 
B)  $x$-intercept: $( 0,7 ) ; y$-intercept: $( 10,0 )$ 
C)  $x$-intercept: $( 10,0 ) ; y$-intercept: $( 0,7 )$ 
D)  $x$-intercept: $( 0,10 ) ; y$-intercept: $( 7,0 )$

Question 8

Choose the one alternative that best completes the statement or answers the question.
From memory match each equation with its graph.
-$f(x)=\sqrt[3]{x} \quad g(x)=x^{2} \quad h(x)=|x|$
I
 
II
 
III

Accepted Answer

A)  $f ( x )$, III; $g ( x ) , \mathrm { I } ; h ( x )$, II 
B)  $f ( x ) , \mathrm { II } ; g ( x )$, III; $h ( x )$, I 
C)  $f ( x ) , \mathrm { I } ; g ( x )$, III; $h ( x )$, II 
D)  $f ( x )$, III; $g ( x )$, II; $h ( x )$, I 
A)  $f ( x )$, III; $g ( x ) , \mathrm { I } ; h ( x )$, II 
B)  $f ( x ) , \mathrm { II } ; g ( x )$, III; $h ( x )$, I 
C)  $f ( x ) , \mathrm { I } ; g ( x )$, III; $h ( x )$, II 
D)  $f ( x )$, III; $g ( x )$, II; $h ( x )$, I

Question 9

Write the given equation in the form $$( x - h ) ^ { 2 } + ( y - k ) ^ { 2 } = r ^ { 2 }$$ . Identify the center and radius.
-$$25 x ^ { 2 } + 25 y ^ { 2 } - 20 x + 60 y - 360 = 0$$

Accepted Answer

A)  Center: $\left( - \frac { 4 } { 5 } , \frac { 12 } { 5 } \right) ; r = 360$ 
B)  Center: $\left( - \frac { 2 } { 5 } , \frac { 6 } { 5 } \right) ; r = 4$ 
C)  Center: $\left( \frac { 2 } { 5 } , - \frac { 6 } { 5 } \right) ; r = 4$ 
D)  Center: $\left( \frac { 4 } { 5 } , - \frac { 12 } { 5 } \right) ; r = 360$ 
A)  Center: $\left( - \frac { 4 } { 5 } , \frac { 12 } { 5 } \right) ; r = 360$ 
B)  Center: $\left( - \frac { 2 } { 5 } , \frac { 6 } { 5 } \right) ; r = 4$ 
C)  Center: $\left( \frac { 2 } { 5 } , - \frac { 6 } { 5 } \right) ; r = 4$ 
D)  Center: $\left( \frac { 4 } { 5 } , - \frac { 12 } { 5 } \right) ; r = 360$

Question 10

Write the word or phrase that best completes each statement or answers the question.
Provide the missing information.
-The graph of y = 3f (x) is the graph of y = f (x) with a (choose one: vertical stretch, vertical shrink,
horizontal stretch, horizontal shrink).

Accepted Answer

The answer of Write the word or phrase that best...

Question 11

Determine the slope of the line passing through the given points.
-$\left( \frac { 5 } { 3 } , \frac { 5 } { 2 } \right)$ and $\left( - \frac { 1 } { 4 } , \frac { 1 } { 2 } \right)$

Accepted Answer

A)  $m = \frac { 24 } { 23 }$ 
B)  $m = - \frac { 24 } { 17 }$ 
C)  $m = \frac { 24 } { 17 }$ 
D)  $m = \frac { 23 } { 24 }$ 
A)  $m = \frac { 24 } { 23 }$ 
B)  $m = - \frac { 24 } { 17 }$ 
C)  $m = \frac { 24 } { 17 }$ 
D)  $m = \frac { 23 } { 24 }$

Question 12

Use the given information about a circle to find its equation.
-Center $( - 1 , - 5 )$ and radius $\sqrt { 3 }$

Accepted Answer

A)  $( x + 1 ) ^ { 2 } + ( y + 5 ) ^ { 2 } = \sqrt { 3 }$ 
B)  $( x + 1 ) ^ { 2 } + ( y + 5 ) ^ { 2 } = 3$ 
C)  $( x - 1 ) ^ { 2 } + ( y - 5 ) ^ { 2 } = 3$ 
D)  $( x - 1 ) ^ { 2 } + ( y - 5 ) ^ { 2 } = \sqrt { 3 }$ 
A)  $( x + 1 ) ^ { 2 } + ( y + 5 ) ^ { 2 } = \sqrt { 3 }$ 
B)  $( x + 1 ) ^ { 2 } + ( y + 5 ) ^ { 2 } = 3$ 
C)  $( x - 1 ) ^ { 2 } + ( y - 5 ) ^ { 2 } = 3$ 
D)  $( x - 1 ) ^ { 2 } + ( y - 5 ) ^ { 2 } = \sqrt { 3 }$

Question 13

Determine the solution set for the equation.
-$$( x + 4 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 0$$

Accepted Answer

A)  $\{ ( 4 , - 2 ) \}$ 
B)  $\{ ( - 4,2 ) \}$ 
C)  \{ \} 
D)  $\{ ( 16,4 ) \}$ 
A)  $\{ ( 4 , - 2 ) \}$ 
B)  $\{ ( - 4,2 ) \}$ 
C)  \{ \} 
D)  $\{ ( 16,4 ) \}$

Question 14

Use the slope-intercept form to write an equation of the line that passes through the given points. Use
function notation where y = f(x).
-$( 10,2 )$ and $( 8,10 )$

Accepted Answer

A)  $f ( x ) = - 4 x + 38$ 
B)  $f ( x ) = - 4 x + 42$ 
C)  $f ( x ) = 4 x + 38$ 
D)  $f ( x ) = - 4 x - 42$ 
A)  $f ( x ) = - 4 x + 38$ 
B)  $f ( x ) = - 4 x + 42$ 
C)  $f ( x ) = 4 x + 38$ 
D)  $f ( x ) = - 4 x - 42$

Question 15

Solve the problem.
-If $q$ is $r$ minus six, and $s$ is the square root of $q$, write $s$ as a function of $r$.

Accepted Answer

A)  $s ( r ) = 6 - \sqrt { r }$ 
B)  $s ( r ) = \sqrt { 6 - r }$ 
C)  $s ( r ) = \sqrt { r } - 6$ 
D)  $s ( r ) = \sqrt { r - 6 }$ 
A)  $s ( r ) = 6 - \sqrt { r }$ 
B)  $s ( r ) = \sqrt { 6 - r }$ 
C)  $s ( r ) = \sqrt { r } - 6$ 
D)  $s ( r ) = \sqrt { r - 6 }$

Question 16

Write a function defined by y = f (x) subject to the following conditions.
-The value of $f ( x )$ is nine times the square root of $x$.

Accepted Answer

A)  $f ( x ) = 9 x ^ { 2 }$ 
B)  $f ( x ) = \sqrt { 9 x }$ 
C)  $f ( x ) = 9 \sqrt { x }$ 
D)  $f ( x ) = ( 9 x ) ^ { 2 }$ 
A)  $f ( x ) = 9 x ^ { 2 }$ 
B)  $f ( x ) = \sqrt { 9 x }$ 
C)  $f ( x ) = 9 \sqrt { x }$ 
D)  $f ( x ) = ( 9 x ) ^ { 2 }$

Question 17

Determine the slope of the line.
-

Accepted Answer

A)  $m = - 3$ 
B)  $m = - \frac { 1 } { 3 }$ 
C)  $m = 3$ 
D)  $m = \frac { 1 } { 3 }$ 
A)  $m = - 3$ 
B)  $m = - \frac { 1 } { 3 }$ 
C)  $m = 3$ 
D)  $m = \frac { 1 } { 3 }$

Question 18

Find $\frac { f ( x + h ) - f ( x ) } { h }$ for the given function.
-$$f ( x ) = 5 x ^ { 2 } - 6 x + 4$$

Accepted Answer

A)  $10 x + 5 h - 6$ 
B)  $- 2 x + 5 h + 2$ 
C)  $10 x - 6$ 
D)  $5 h ^ { 2 } + 10 x h - 6 h$ 
A)  $10 x + 5 h - 6$ 
B)  $- 2 x + 5 h + 2$ 
C)  $10 x - 6$ 
D)  $5 h ^ { 2 } + 10 x h - 6 h$

Question 19

Write the word or phrase that best completes each statement or answers the question.
Provide the missing information.
-A graph of an equation is symmetric with respect to the -axis
if replacing x by -x results in an equivalent equation.

Accepted Answer

The answer of Write the word or phrase that best...

Question 20

Solve the problem.
-Use interval notation to write the intervals over which f is constant

Accepted Answer

A)  (2, 2) 
B)  (-4, -1) 
C)  (-1, 2) 
D)  (2, 5) 
A)  (2, 2) 
B)  (-4, -1) 
C)  (-1, 2) 
D)  (2, 5)

Graph the equation by plotting points. - $y ^ { 2 } - x + 4 = 0$

Write the word or phrase that best completes each statement or answers the question. Provide the missing information. -An odd function is symmetric with respect to the .

Graph the function. - $f ( x ) = \operatorname { int } ( x + 3 )$

Write the word or phrase that best completes each statement or answers the question.Provide the missing information. -Let h represent a positive real number. Given a function defined by y = f (x), the difference quotient is given by .

Write a function defined by y = f (x) subject to the following conditions. -The value of $f ( x )$ is four more than eight times $x$ .

Write the word or phrase that best completes each statement or answers the question. Provide the missing information. -Let c represent a positive real number. The graph of y = f (x) - c is the graph of y = f (x) shifted (up/down/left/right) c units.

Determine the x- and y-intercepts of the graph whose points are defined in the table. - x -5 0 5 10 15 20 y 9 7 2 0 -2 -9

Write the given equation in the form $( x - h ) ^ { 2 } + ( y - k ) ^ { 2 } = r ^ { 2 }$ . Identify the center and radius. - $25 x ^ { 2 } + 25 y ^ { 2 } - 20 x + 60 y - 360 = 0$

Write the word or phrase that best completes each statement or answers the question. Provide the missing information. -The graph of y = 3f (x) is the graph of y = f (x) with a (choose one: vertical stretch, vertical shrink, horizontal stretch, horizontal shrink).

Determine the slope of the line passing through the given points. - $\left( \frac { 5 } { 3 } , \frac { 5 } { 2 } \right)$ and $\left( - \frac { 1 } { 4 } , \frac { 1 } { 2 } \right)$

Use the given information about a circle to find its equation. -Center $( - 1 , - 5 )$ and radius $\sqrt { 3 }$

Determine the solution set for the equation. - $( x + 4 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 0$

Use the slope-intercept form to write an equation of the line that passes through the given points. Use function notation where y = f(x). - $( 10,2 )$ and $( 8,10 )$

Solve the problem. -If $q$ is $r$ minus six, and $s$ is the square root of $q$ , write $s$ as a function of $r$ .

Write a function defined by y = f (x) subject to the following conditions. -The value of $f ( x )$ is nine times the square root of $x$ .

Determine the slope of the line. -

Find $\frac { f ( x + h ) - f ( x ) } { h }$ for the given function. - $f ( x ) = 5 x ^ { 2 } - 6 x + 4$

Write the word or phrase that best completes each statement or answers the question. Provide the missing information. -A graph of an equation is symmetric with respect to the -axis if replacing x by -x results in an equivalent equation.

Solve the problem. -Use interval notation to write the intervals over which f is constant

Equations and Inequalities

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Systems of Equations and Inequalities

Matrices and Determinants and Applications

Analytic Geometry

Sequences, Series, Induction, and Probability

Review of Prerequisites

Filters

Exam 2: Functions and Relations

Graph the equation by plotting points. - y2−x+4=0y ^ { 2 } - x + 4 = 0y2−x+4=0

Write the word or phrase that best completes each statement or answers the question. Provide the missing information. -An odd function is symmetric with respect to the .

Graph the function. - f(x)=int⁡(x+3)f ( x ) = \operatorname { int } ( x + 3 )f(x)=int(x+3)

Write the word or phrase that best completes each statement or answers the question.Provide the missing information. -Let h represent a positive real number. Given a function defined by y = f (x), the difference quotient is given by .

Write a function defined by y = f (x) subject to the following conditions. -The value of f(x)f ( x )f(x) is four more than eight times xxx .

Write the word or phrase that best completes each statement or answers the question. Provide the missing information. -Let c represent a positive real number. The graph of y = f (x) - c is the graph of y = f (x) shifted (up/down/left/right) c units.

Determine the x- and y-intercepts of the graph whose points are defined in the table. - x -5 0 5 10 15 20 y 9 7 2 0 -2 -9

Choose the one alternative that best completes the statement or answers the question. From memory match each equation with its graph. - f(x)=x3g(x)=x2h(x)=∣x∣f(x)=\sqrt[3]{x} \quad g(x)=x^{2} \quad h(x)=|x|f(x)=3x​g(x)=x2h(x)=∣x∣ I II III

Write the given equation in the form (x−h)2+(y−k)2=r2( x - h ) ^ { 2 } + ( y - k ) ^ { 2 } = r ^ { 2 }(x−h)2+(y−k)2=r2 . Identify the center and radius. - 25x2+25y2−20x+60y−360=025 x ^ { 2 } + 25 y ^ { 2 } - 20 x + 60 y - 360 = 025x2+25y2−20x+60y−360=0

Write the word or phrase that best completes each statement or answers the question. Provide the missing information. -The graph of y = 3f (x) is the graph of y = f (x) with a (choose one: vertical stretch, vertical shrink, horizontal stretch, horizontal shrink).

Determine the slope of the line passing through the given points. - (53,52)\left( \frac { 5 } { 3 } , \frac { 5 } { 2 } \right)(35​,25​) and (−14,12)\left( - \frac { 1 } { 4 } , \frac { 1 } { 2 } \right)(−41​,21​)

Use the given information about a circle to find its equation. -Center (−1,−5)( - 1 , - 5 )(−1,−5) and radius 3\sqrt { 3 }3​

Determine the solution set for the equation. - (x+4)2+(y−2)2=0( x + 4 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 0(x+4)2+(y−2)2=0

Use the slope-intercept form to write an equation of the line that passes through the given points. Use function notation where y = f(x). - (10,2)( 10,2 )(10,2) and (8,10)( 8,10 )(8,10)

Solve the problem. -If qqq is rrr minus six, and sss is the square root of qqq , write sss as a function of rrr .

Write a function defined by y = f (x) subject to the following conditions. -The value of f(x)f ( x )f(x) is nine times the square root of xxx .

Determine the slope of the line. -

Find f(x+h)−f(x)h\frac { f ( x + h ) - f ( x ) } { h }hf(x+h)−f(x)​ for the given function. - f(x)=5x2−6x+4f ( x ) = 5 x ^ { 2 } - 6 x + 4f(x)=5x2−6x+4

Write the word or phrase that best completes each statement or answers the question. Provide the missing information. -A graph of an equation is symmetric with respect to the -axis if replacing x by -x results in an equivalent equation.

Solve the problem. -Use interval notation to write the intervals over which f is constant

Equations and Inequalities

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Systems of Equations and Inequalities

Matrices and Determinants and Applications

Analytic Geometry

Sequences, Series, Induction, and Probability

Review of Prerequisites

Filters

Graph the equation by plotting points. - $y ^ { 2 } - x + 4 = 0$

Graph the function. - $f ( x ) = \operatorname { int } ( x + 3 )$

Write a function defined by y = f (x) subject to the following conditions. -The value of $f ( x )$ is four more than eight times $x$ .

Write the given equation in the form $( x - h ) ^ { 2 } + ( y - k ) ^ { 2 } = r ^ { 2 }$ . Identify the center and radius. - $25 x ^ { 2 } + 25 y ^ { 2 } - 20 x + 60 y - 360 = 0$

Determine the slope of the line passing through the given points. - $\left( \frac { 5 } { 3 } , \frac { 5 } { 2 } \right)$ and $\left( - \frac { 1 } { 4 } , \frac { 1 } { 2 } \right)$

Use the given information about a circle to find its equation. -Center $( - 1 , - 5 )$ and radius $\sqrt { 3 }$

Determine the solution set for the equation. - $( x + 4 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 0$

Use the slope-intercept form to write an equation of the line that passes through the given points. Use function notation where y = f(x). - $( 10,2 )$ and $( 8,10 )$

Solve the problem. -If $q$ is $r$ minus six, and $s$ is the square root of $q$ , write $s$ as a function of $r$ .

Write a function defined by y = f (x) subject to the following conditions. -The value of $f ( x )$ is nine times the square root of $x$ .

Find $\frac { f ( x + h ) - f ( x ) } { h }$ for the given function. - $f ( x ) = 5 x ^ { 2 } - 6 x + 4$