Question 1

Decide whether the relation defines a function.
-$$y ^ { 2 } = 7 x$$

Accepted Answer

A)  Function 
B)  Not a function 
A)  Function 
B)  Not a function

Question 2

Evaluate the function.
-Find f(7) f

Accepted Answer

A)  None of these 
B)  4 
C)  $( 4,12 )$ 
D)  12 
A)  None of these 
B)  4 
C)  $( 4,12 )$ 
D)  12

Question 3

Graph the line described.
-through $( - 3,9 )$; undefined slope

Accepted Answer

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

Question 4

Graph the function.
-$f(x)=2 \llbracket x \rrbracket$

Accepted Answer

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

Question 5

Solve the problem.
-Use the tables to find $( \mathrm { fg } ) ( - 8 )$.

Accepted Answer

A)  $- 6$ 
B)  64 
C)  $- 12$ 
D)  $- 18$ 
A)  $- 6$ 
B)  64 
C)  $- 12$ 
D)  $- 18$

Question 6

Graph the function.
-$y=(x+3)^{3}$

Accepted Answer

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

Question 7

Graph the function.
-$$f ( x ) = \llbracket x \rrbracket - 1$$

Accepted Answer

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

Question 8

The graph of y = f(x) is given. Use the graph to find the function value.
- 
Find $f ( - 4 )$.

Accepted Answer

A)  1 
B)  $1.8$ 
C)  None of these 
D)  $- 4$ 
A)  1 
B)  $1.8$ 
C)  None of these 
D)  $- 4$

Question 9

Graph the equation by determining the missing values needed to plot the ordered pairs.
-$4 x+6 y=24 ;(0, \quad),(, 0),(2, \quad)$

Accepted Answer

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

Question 10

For the pair of functions, find the indicated sum, difference, product, or quotient.
-$$f ( x ) = 5 x + 8 , g ( x ) = 7 x + 6$$
Find $( f g ) ( x )$.

Accepted Answer

A)  $35 x ^ { 2 } + 62 x + 48$ 
B)  $35 x ^ { 2 } + 48$ 
C)  $12 x ^ { 2 } + 86 x + 14$ 
D)  $35 x ^ { 2 } + 86 x + 48$ 
A)  $35 x ^ { 2 } + 62 x + 48$ 
B)  $35 x ^ { 2 } + 48$ 
C)  $12 x ^ { 2 } + 86 x + 14$ 
D)  $35 x ^ { 2 } + 86 x + 48$

Question 11

Solve the problem. Write all linear equations in slope-intercept form.
-A driver wants to gauge the fuel efficiency of her vehicle at speeds of $30 \mathrm { mph }$ and above. She notices that traveling at an average speed of $40 \mathrm { mph }$ results in a rating of $36 \mathrm { mpg }$, whereas at an average speed of $45 \mathrm { mph }$, her car rates $21 \mathrm { mpg }$. Find a linear equation to model the gas mileage y for an average speed of $x \mathrm { mph }$. Find the slope-intercept form of the equation of the line.

Accepted Answer

A)  $y = - 3 x + 156$ 
B)  $y = \frac { 1 } { 3 } x + 156$ 
C)  $y = \frac { 1 } { 3 } x + 84$ 
D)  $y = - 3 x + 84$ 
A)  $y = - 3 x + 156$ 
B)  $y = \frac { 1 } { 3 } x + 156$ 
C)  $y = \frac { 1 } { 3 } x + 84$ 
D)  $y = - 3 x + 84$

Question 12

The figure below shows the graph of a function y = f(x). Use this graph to solve the problem.
-$$\text { Sketch the graph of } y = f ( - x ) \text {. }$$

Accepted Answer

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

Question 13

Use a graphing calculator to solve the linear equation.
-$$- 7 x + 5 ( - 2 x - 7 ) = - 48 - 4 x$$

Accepted Answer

A)  $\{ - 1 \}$ 
B)  $\{ 1 \}$ 
C)  $\{ 0 \}$ 
D)  $\{ 2 \}$ 
A)  $\{ - 1 \}$ 
B)  $\{ 1 \}$ 
C)  $\{ 0 \}$ 
D)  $\{ 2 \}$

Question 14

Solve the problem.
-A video rental company charges $\$ 4$ per day for renting a video tape, and then $\$ 3$ per day after the first. Use the greatest integer function and write an expression for renting a video tape for $x$ days.

Accepted Answer

A)  $y = 3 x + 4$ 
B) y = $3[[x-1]]+4$ 
C)  y+4 =  $3[[x]]$ 
D)  $\mathrm { y } = \llbracket 3 \mathrm { x } + 4 \rrbracket$ 
A)  $y = 3 x + 4$ 
B) y = $3[[x-1]]+4$ 
C)  y+4 =  $3[[x]]$ 
D)  $\mathrm { y } = \llbracket 3 \mathrm { x } + 4 \rrbracket$

Question 15

Graph the circle.
-$(x-3)^{2}+(y+2)^{2}=9$

Accepted Answer

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

Question 16

Compute and simplify the difference quotient $$\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0$$
-$$f ( x ) = \frac { 3 } { x + 28 }$$

Accepted Answer

A)  $- \frac { 3 } { ( x + h + 28 ) ( x + 28 ) }$ 
B)  $- \frac { 84 } { ( x + h + 28 ) ( x + 28 ) }$ 
C)  $- \frac { 3 } { ( x + 3 ) ^ { 2 } }$ 
D)  $\frac { 3 } { ( x + h + 28 ) ( x + 28 ) }$ 
A)  $- \frac { 3 } { ( x + h + 28 ) ( x + 28 ) }$ 
B)  $- \frac { 84 } { ( x + h + 28 ) ( x + 28 ) }$ 
C)  $- \frac { 3 } { ( x + 3 ) ^ { 2 } }$ 
D)  $\frac { 3 } { ( x + h + 28 ) ( x + 28 ) }$

Question 17

Use the graph to determine the equation of the circle in center-radius form.
-

Accepted Answer

A)  $( x - 4 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 9$ 
B)  $( x + 4 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 9$ 
C)  $( x + 4 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 3$ 
D)  $( x - 4 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 3$ 
A)  $( x - 4 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 9$ 
B)  $( x + 4 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 9$ 
C)  $( x + 4 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 3$ 
D)  $( x - 4 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 3$

Question 18

Find the specified domain.
-Find the domain of $\left( \frac { f } { g } \right) ( x )$ when $f ( x ) = 2 x - 6$ and $g ( x ) = 9 x - 2$

Accepted Answer

A)  $( - \infty , 3 ) \cup ( 3 , \infty )$ 
B)  $( - \infty , \infty )$ 
C)  $\left( - \infty , \frac { 2 } { 9 } \right) \cup \left( \frac { 2 } { 9 } , \infty \right)$ 
D)  $\left( - \infty , \frac { 2 } { 9 } \right) \cup \left( \frac { 2 } { 9 } , 3 \right) \cup ( 3 , \infty )$ 
A)  $( - \infty , 3 ) \cup ( 3 , \infty )$ 
B)  $( - \infty , \infty )$ 
C)  $\left( - \infty , \frac { 2 } { 9 } \right) \cup \left( \frac { 2 } { 9 } , \infty \right)$ 
D)  $\left( - \infty , \frac { 2 } { 9 } \right) \cup \left( \frac { 2 } { 9 } , 3 \right) \cup ( 3 , \infty )$

Question 19

Use the graph to determine the equation of the circle in center-radius form.
-

Accepted Answer

A)  $( x + 2 ) ^ { 2 } + ( y - 3 ) ^ { 2 } = 2$ 
B)  $( x - 2 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 4$ 
C)  $( x + 2 ) ^ { 2 } + ( y - 3 ) ^ { 2 } = 4$ 
D)  $( x - 2 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 2$ 
A)  $( x + 2 ) ^ { 2 } + ( y - 3 ) ^ { 2 } = 2$ 
B)  $( x - 2 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 4$ 
C)  $( x + 2 ) ^ { 2 } + ( y - 3 ) ^ { 2 } = 4$ 
D)  $( x - 2 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 2$

Question 20

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint.
-midpoint (-2, 0), endpoint (-3, -5)

Accepted Answer

A)  (7, -3) 
B)  (-1, 5) 
C)  (-5, -15) 
D)  (-1, -10) 
A)  (7, -3) 
B)  (-1, 5) 
C)  (-5, -15) 
D)  (-1, -10)

Decide whether the relation defines a function. - $y ^ { 2 } = 7 x$

Evaluate the function. -Find f(7) f

Graph the line described. -through $( - 3,9 )$ ; undefined slope

Graph the function. - $f(x)=2 \llbracket x \rrbracket$ $Graph the function. - f(x)=2 \llbracket x \rrbracket$

Solve the problem. -Use the tables to find $( \mathrm { fg } ) ( - 8 )$ . $Solve the problem. -Use the tables to find ( \mathrm { fg } ) ( - 8 ) .$

Graph the function. - $y=(x+3)^{3}$ $Graph the function. - y=(x+3)^{3}$

Graph the function. - $f ( x ) = \llbracket x \rrbracket - 1$ $Graph the function. - f ( x ) = \llbracket x \rrbracket - 1$

The graph of y = f(x) is given. Use the graph to find the function value. - Find $f ( - 4 )$ .

Graph the equation by determining the missing values needed to plot the ordered pairs. - $4 x+6 y=24 ;(0, \quad),(, 0),(2, \quad)$ $Graph the equation by determining the missing values needed to plot the ordered pairs. - 4 x+6 y=24 ;(0, \quad),(, 0),(2, \quad)$

For the pair of functions, find the indicated sum, difference, product, or quotient. - $f ( x ) = 5 x + 8 , g ( x ) = 7 x + 6$ Find $( f g ) ( x )$ .

Use a graphing calculator to solve the linear equation. - $- 7 x + 5 ( - 2 x - 7 ) = - 48 - 4 x$

Solve the problem. -A video rental company charges $\$ 4$ per day for renting a video tape, and then $\$ 3$ per day after the first. Use the greatest integer function and write an expression for renting a video tape for $x$ days.

Graph the circle. - $(x-3)^{2}+(y+2)^{2}=9$ $Graph the circle. - (x-3)^{2}+(y+2)^{2}=9$

Compute and simplify the difference quotient $\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0$ - $f ( x ) = \frac { 3 } { x + 28 }$

Use the graph to determine the equation of the circle in center-radius form. -

Find the specified domain. -Find the domain of $\left( \frac { f } { g } \right) ( x )$ when $f ( x ) = 2 x - 6$ and $g ( x ) = 9 x - 2$

Use the graph to determine the equation of the circle in center-radius form. -

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. -midpoint (-2, 0), endpoint (-3, -5)

Equations and Inequalities

Polynomial and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Trigonometric Functions

The Circular Functions and Their Graphs

Trigonometric Identities and Equations

Applications of Trigonometry

Systems and Matrices

Analytic Geometry

Further Topics in Algebra

Review of Basic Concepts

Filters

Exam 2: Graphs and Functions

Decide whether the relation defines a function. - y2=7xy ^ { 2 } = 7 xy2=7x

Evaluate the function. -Find f(7) f

Graph the line described. -through (−3,9)( - 3,9 )(−3,9) ; undefined slope

Graph the function. - f(x)=2⟦x⟧f(x)=2 \llbracket x \rrbracketf(x)=2[[x]]

Solve the problem. -Use the tables to find (fg)(−8)( \mathrm { fg } ) ( - 8 )(fg)(−8) .

Graph the function. - y=(x+3)3y=(x+3)^{3}y=(x+3)3

Graph the function. - f(x)=⟦x⟧−1f ( x ) = \llbracket x \rrbracket - 1f(x)=[[x]]−1

The graph of y = f(x) is given. Use the graph to find the function value. - Find f(−4)f ( - 4 )f(−4) .

Graph the equation by determining the missing values needed to plot the ordered pairs. - 4x+6y=24;(0,),(,0),(2,)4 x+6 y=24 ;(0, \quad),(, 0),(2, \quad)4x+6y=24;(0,),(,0),(2,)

For the pair of functions, find the indicated sum, difference, product, or quotient. - f(x)=5x+8,g(x)=7x+6f ( x ) = 5 x + 8 , g ( x ) = 7 x + 6f(x)=5x+8,g(x)=7x+6 Find (fg)(x)( f g ) ( x )(fg)(x) .

The figure below shows the graph of a function y = f(x). Use this graph to solve the problem. - Sketch the graph of y=f(−x). \text { Sketch the graph of } y = f ( - x ) \text {. } Sketch the graph of y=f(−x).

Use a graphing calculator to solve the linear equation. - −7x+5(−2x−7)=−48−4x- 7 x + 5 ( - 2 x - 7 ) = - 48 - 4 x−7x+5(−2x−7)=−48−4x

Solve the problem. -A video rental company charges $4\$ 4$4 per day for renting a video tape, and then $3\$ 3$3 per day after the first. Use the greatest integer function and write an expression for renting a video tape for xxx days.

Graph the circle. - (x−3)2+(y+2)2=9(x-3)^{2}+(y+2)^{2}=9(x−3)2+(y+2)2=9

Compute and simplify the difference quotient f(x+h)−f(x)h,h≠0\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0hf(x+h)−f(x)​,h=0 - f(x)=3x+28f ( x ) = \frac { 3 } { x + 28 }f(x)=x+283​

Use the graph to determine the equation of the circle in center-radius form. -

Find the specified domain. -Find the domain of (fg)(x)\left( \frac { f } { g } \right) ( x )(gf​)(x) when f(x)=2x−6f ( x ) = 2 x - 6f(x)=2x−6 and g(x)=9x−2g ( x ) = 9 x - 2g(x)=9x−2

Use the graph to determine the equation of the circle in center-radius form. -

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. -midpoint (-2, 0), endpoint (-3, -5)

Equations and Inequalities

Polynomial and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Trigonometric Functions

The Circular Functions and Their Graphs

Trigonometric Identities and Equations

Applications of Trigonometry

Systems and Matrices

Analytic Geometry

Further Topics in Algebra

Review of Basic Concepts

Filters

Decide whether the relation defines a function. - $y ^ { 2 } = 7 x$

Graph the line described. -through $( - 3,9 )$ ; undefined slope

Graph the function. - $f(x)=2 \llbracket x \rrbracket$ $Graph the function. - f(x)=2 \llbracket x \rrbracket$

Solve the problem. -Use the tables to find $( \mathrm { fg } ) ( - 8 )$ . $Solve the problem. -Use the tables to find ( \mathrm { fg } ) ( - 8 ) .$

Graph the function. - $y=(x+3)^{3}$ $Graph the function. - y=(x+3)^{3}$

Graph the function. - $f ( x ) = \llbracket x \rrbracket - 1$ $Graph the function. - f ( x ) = \llbracket x \rrbracket - 1$

The graph of y = f(x) is given. Use the graph to find the function value. - Find $f ( - 4 )$ .

Graph the equation by determining the missing values needed to plot the ordered pairs. - $4 x+6 y=24 ;(0, \quad),(, 0),(2, \quad)$ $Graph the equation by determining the missing values needed to plot the ordered pairs. - 4 x+6 y=24 ;(0, \quad),(, 0),(2, \quad)$

For the pair of functions, find the indicated sum, difference, product, or quotient. - $f ( x ) = 5 x + 8 , g ( x ) = 7 x + 6$ Find $( f g ) ( x )$ .

Use a graphing calculator to solve the linear equation. - $- 7 x + 5 ( - 2 x - 7 ) = - 48 - 4 x$

Solve the problem. -A video rental company charges $\$ 4$ per day for renting a video tape, and then $\$ 3$ per day after the first. Use the greatest integer function and write an expression for renting a video tape for $x$ days.

Graph the circle. - $(x-3)^{2}+(y+2)^{2}=9$ $Graph the circle. - (x-3)^{2}+(y+2)^{2}=9$

Compute and simplify the difference quotient $\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0$ - $f ( x ) = \frac { 3 } { x + 28 }$

Find the specified domain. -Find the domain of $\left( \frac { f } { g } \right) ( x )$ when $f ( x ) = 2 x - 6$ and $g ( x ) = 9 x - 2$