Question 1

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

Accepted Answer

A)  $- 9$ 
B)  9 
C)  7 
D)  $1.5$ 
A)  $- 9$ 
B)  9 
C)  7 
D)  $1.5$

Question 2

Graph the equation by determining the missing values needed to plot the ordered pairs.
-$x-3 y=-9 ;(0, \quad),(, 0),(2, \quad),(, 2)$

Accepted Answer

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

Question 3

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

Accepted Answer

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

Question 4

Graph the circle.
-$(x+1)^{2}+(y+3)^{2}=16$

Accepted Answer

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

Question 5

A new chocolate company is estimating how many candy bars per week college students will consume of their line of
products. The graph shows the probable number of candy bars students (age 18 -22) will consume from year 0 to year 10.
B(x) gives the number of candy bars for boys, G(x) gives the number of candy bars for girls, and T(x) gives the total
number for both groups. Use the graph to answer the question.  
-Estimate B(4) and G(4) and use your estimates to estimate T(4).

Accepted Answer

A)  2.0; 2.8; 4.8 
B)  1.5; 2.5; 4.0 
C)  1.8; 2.5; 4.3 
D)  2.0; 3.0; 5.0 
A)  2.0; 2.8; 4.8 
B)  1.5; 2.5; 4.0 
C)  1.8; 2.5; 4.3 
D)  2.0; 3.0; 5.0

Question 6

Match the equation with the correct graph.
-$$y - 4 = \frac { 3 } { 2 } ( x + 2 )$$

Accepted Answer

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

Question 7

Graph the function.
-$$f ( x ) = \frac { 1 } { 6 } x ^ { 3 }$$

Accepted Answer

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

Question 8

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint.
-midpoint (-2, -6), endpoint (2, -3)

Accepted Answer

A)  (10, 3) 
B)  (-4, -11) 
C)  (-6, -9) 
D)  (-6, 0) 
A)  (10, 3) 
B)  (-4, -11) 
C)  (-6, -9) 
D)  (-6, 0)

Question 9

Describe how the graph of the equation relates to the graph of y = x2.
-$$f ( x ) = ( x - 7 ) ^ { 2 } + 3$$

Accepted Answer

A)  a translation 7 units to the left and 3 units down 
B)  a translation 7 units to the right and 3 units up 
C)  a translation 3 units to the right and 7 units up 
D)  a translation 7 units to the left and 3 units up 
A)  a translation 7 units to the left and 3 units down 
B)  a translation 7 units to the right and 3 units up 
C)  a translation 3 units to the right and 7 units up 
D)  a translation 7 units to the left and 3 units up

Question 10

The graph of a linear function f is shown. Identify the slope, y-intercept, and x-intercept.
-

Accepted Answer

A)  $2 ; - 8,4$ 
B)  $\frac { 1 } { 2 } ; 4 , - 8$ 
C)  $\frac { 1 } { 2 } ; - 8,4$ 
D)  $2 ; 4 , - 8$ 
A)  $2 ; - 8,4$ 
B)  $\frac { 1 } { 2 } ; 4 , - 8$ 
C)  $\frac { 1 } { 2 } ; - 8,4$ 
D)  $2 ; 4 , - 8$

Question 11

Choose the value which could represent the slope of the line. Assume that the scale on the x -axis is the same as the scale
on the y-axis.
-

Accepted Answer

A) -1 
B)  -5 
C)  1 
D)  5 
A) -1 
B)  -5 
C)  1 
D)  5

Question 12

Give the domain and range of the relation.
-$\{ ( 1,8 ) , ( - 3 , - 9 ) , ( - 6 , - 4 ) , ( 6 , - 9 ) \}$

Accepted Answer

A)  domain: $\{ - 9 , - 6 , - 4 , - 3 \}$; range: $\{ 1,6,8 \}$ 
B)  domain: $\{ - 6 , - 3,1,6 \}$; range: $\{ - 9 , - 4,8 \}$ 
C)  domain: $\{ 1,6,8 \}$; range: $\{ - 9 , - 6 , - 4 , - 3 \}$ 
D)  domain: $\{ - 9 , - 4,8 \}$; range: $\{ - 6 , - 3,1,6 \}$ 
A)  domain: $\{ - 9 , - 6 , - 4 , - 3 \}$; range: $\{ 1,6,8 \}$ 
B)  domain: $\{ - 6 , - 3,1,6 \}$; range: $\{ - 9 , - 4,8 \}$ 
C)  domain: $\{ 1,6,8 \}$; range: $\{ - 9 , - 6 , - 4 , - 3 \}$ 
D)  domain: $\{ - 9 , - 4,8 \}$; range: $\{ - 6 , - 3,1,6 \}$

Question 13

Write an equation for the line described. Give your answer in standard form.
-x-intercept $- 5$, y-intercept 3

Accepted Answer

A)  $- 3 x - 5 y = - 15$ 
B)  $3 x + 5 y = - 15$ 
C)  $3 x - 5 y = 15$ 
D)  $3 x - 5 y = - 15$ 
A)  $- 3 x - 5 y = - 15$ 
B)  $3 x + 5 y = - 15$ 
C)  $3 x - 5 y = 15$ 
D)  $3 x - 5 y = - 15$

Question 14

Decide whether the relation defines a function.
-$$\{ ( - 2,8 ) , ( 2 , - 4 ) , ( 4,9 ) , ( 9 , - 9 ) , ( 12 , - 6 ) \}$$

Accepted Answer

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

Question 15

Evaluate the function.
-Find $f ( - 3 )$ when $f ( x ) = - 4 x - 6$

Accepted Answer

A)  6 
B)  18 
C)  30 
D)  $- 10$ 
A)  6 
B)  18 
C)  30 
D)  $- 10$

Question 16

Solve the problem.
-The linear function $f ( x ) = 1.7 x + 27$ models the percentage of people, $f ( x )$, who graduated from college $x$ years after 1998 . Find and interpret the slope.

Accepted Answer

A)  $\mathrm { m } = 1.7$; the percentage of people graduating from college has increased at a rate of $1.7 \%$ per year since 1998 . 
B)  $\mathrm { m } = - 1.7$; the percentage of people graduating from college has decreased at a rate of $1.7 \%$ per year since 1998 . 
C)  $\mathrm { m } = 1.7$; the percentage of people graduating from college has decreased at a rate of $1.7 \%$ per year since 1998 . 
D)  $\mathrm { m } = 27$; the percentage of people graduating from college has increased at a rate of $27 \%$ per year since 1998 . 
A)  $\mathrm { m } = 1.7$; the percentage of people graduating from college has increased at a rate of $1.7 \%$ per year since 1998 . 
B)  $\mathrm { m } = - 1.7$; the percentage of people graduating from college has decreased at a rate of $1.7 \%$ per year since 1998 . 
C)  $\mathrm { m } = 1.7$; the percentage of people graduating from college has decreased at a rate of $1.7 \%$ per year since 1998 . 
D)  $\mathrm { m } = 27$; the percentage of people graduating from college has increased at a rate of $27 \%$ per year since 1998 .

Question 17

Write an equation for the line described. Give your answer in slope-intercept form.
-$$\mathrm { m } = - 3 , \mathrm {~b} = 7$$

Accepted Answer

A)  $y = - \frac { 7 } { 3 } x + 7$ 
B)  $y = - 3 x + 7$ 
C)  $- 3 x + 7 y = 0$ 
D)  $y = 7 x - 3$ 
A)  $y = - \frac { 7 } { 3 } x + 7$ 
B)  $y = - 3 x + 7$ 
C)  $- 3 x + 7 y = 0$ 
D)  $y = 7 x - 3$

Question 18

Determine the intervals of the domain over which the function is continuous.
-

Accepted Answer

A)  $( 5 , \infty )$ 
B)  $( - \infty , 5 ]$ 
C)  $( - \infty , \infty )$ 
D)  $[ 0 , \infty )$ 
A)  $( 5 , \infty )$ 
B)  $( - \infty , 5 ]$ 
C)  $( - \infty , \infty )$ 
D)  $[ 0 , \infty )$

Question 19

Determine whether (f ∘ g)(x) = x and whether (g ∘ f)(x) = x.
-$$f ( x ) = x ^ { 2 } + 2 , g ( x ) = \sqrt { x } - 2$$

Accepted Answer

A)  Yes, no 
B)  No, yes 
C)  Yes, yes 
D)  No, no 
A)  Yes, no 
B)  No, yes 
C)  Yes, yes 
D)  No, no

Question 20

Describe how the graph of the equation relates to the graph of y = x2.
-$$f ( x ) = 6 x ^ { 2 }$$

Accepted Answer

A)  a horizontal stretch by a factor of 6 
B)  a translation 6 units to the right 
C)  a translation 6 units up 
D)  a vertical stretch by a factor of 6 
A)  a horizontal stretch by a factor of 6 
B)  a translation 6 units to the right 
C)  a translation 6 units up 
D)  a vertical stretch by a factor of 6

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. - $x-3 y=-9 ;(0, \quad),(, 0),(2, \quad),(, 2)$ $Graph the equation by determining the missing values needed to plot the ordered pairs. - x-3 y=-9 ;(0, \quad),(, 0),(2, \quad),(, 2)$

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

Graph the circle. - $(x+1)^{2}+(y+3)^{2}=16$ $Graph the circle. - (x+1)^{2}+(y+3)^{2}=16$

Match the equation with the correct graph. - $y - 4 = \frac { 3 } { 2 } ( x + 2 )$

Graph the function. - $f ( x ) = \frac { 1 } { 6 } x ^ { 3 }$ $Graph the function. - f ( x ) = \frac { 1 } { 6 } x ^ { 3 }$

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. -midpoint (-2, -6), endpoint (2, -3)

Describe how the graph of the equation relates to the graph of y = x2. - $f ( x ) = ( x - 7 ) ^ { 2 } + 3$

The graph of a linear function f is shown. Identify the slope, y-intercept, and x-intercept. -

Choose the value which could represent the slope of the line. Assume that the scale on the x -axis is the same as the scale on the y-axis. -

Give the domain and range of the relation. - $\{ ( 1,8 ) , ( - 3 , - 9 ) , ( - 6 , - 4 ) , ( 6 , - 9 ) \}$

Write an equation for the line described. Give your answer in standard form. -x-intercept $- 5$ , y-intercept 3

Decide whether the relation defines a function. - $\{ ( - 2,8 ) , ( 2 , - 4 ) , ( 4,9 ) , ( 9 , - 9 ) , ( 12 , - 6 ) \}$

Evaluate the function. -Find $f ( - 3 )$ when $f ( x ) = - 4 x - 6$

Solve the problem. -The linear function $f ( x ) = 1.7 x + 27$ models the percentage of people, $f ( x )$ , who graduated from college $x$ years after 1998 . Find and interpret the slope.

Write an equation for the line described. Give your answer in slope-intercept form. - $\mathrm { m } = - 3 , \mathrm {~b} = 7$

Determine the intervals of the domain over which the function is continuous. -

Determine whether (f ∘ g)(x) = x and whether (g ∘ f)(x) = x. - $f ( x ) = x ^ { 2 } + 2 , g ( x ) = \sqrt { x } - 2$

Describe how the graph of the equation relates to the graph of y = x2. - $f ( x ) = 6 x ^ { 2 }$

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

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. - x−3y=−9;(0,),(,0),(2,),(,2)x-3 y=-9 ;(0, \quad),(, 0),(2, \quad),(, 2)x−3y=−9;(0,),(,0),(2,),(,2)

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

Graph the circle. - (x+1)2+(y+3)2=16(x+1)^{2}+(y+3)^{2}=16(x+1)2+(y+3)2=16

Match the equation with the correct graph. - y−4=32(x+2)y - 4 = \frac { 3 } { 2 } ( x + 2 )y−4=23​(x+2)

Graph the function. - f(x)=16x3f ( x ) = \frac { 1 } { 6 } x ^ { 3 }f(x)=61​x3

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. -midpoint (-2, -6), endpoint (2, -3)

Describe how the graph of the equation relates to the graph of y = x2. - f(x)=(x−7)2+3f ( x ) = ( x - 7 ) ^ { 2 } + 3f(x)=(x−7)2+3

The graph of a linear function f is shown. Identify the slope, y-intercept, and x-intercept. -

Choose the value which could represent the slope of the line. Assume that the scale on the x -axis is the same as the scale on the y-axis. -

Give the domain and range of the relation. - {(1,8),(−3,−9),(−6,−4),(6,−9)}\{ ( 1,8 ) , ( - 3 , - 9 ) , ( - 6 , - 4 ) , ( 6 , - 9 ) \}{(1,8),(−3,−9),(−6,−4),(6,−9)}

Write an equation for the line described. Give your answer in standard form. -x-intercept −5- 5−5 , y-intercept 3

Decide whether the relation defines a function. - {(−2,8),(2,−4),(4,9),(9,−9),(12,−6)}\{ ( - 2,8 ) , ( 2 , - 4 ) , ( 4,9 ) , ( 9 , - 9 ) , ( 12 , - 6 ) \}{(−2,8),(2,−4),(4,9),(9,−9),(12,−6)}

Evaluate the function. -Find f(−3)f ( - 3 )f(−3) when f(x)=−4x−6f ( x ) = - 4 x - 6f(x)=−4x−6

Solve the problem. -The linear function f(x)=1.7x+27f ( x ) = 1.7 x + 27f(x)=1.7x+27 models the percentage of people, f(x)f ( x )f(x) , who graduated from college xxx years after 1998 . Find and interpret the slope.

Write an equation for the line described. Give your answer in slope-intercept form. - m=−3, b=7\mathrm { m } = - 3 , \mathrm {~b} = 7m=−3, b=7

Determine the intervals of the domain over which the function is continuous. -

Determine whether (f ∘ g)(x) = x and whether (g ∘ f)(x) = x. - f(x)=x2+2,g(x)=x−2f ( x ) = x ^ { 2 } + 2 , g ( x ) = \sqrt { x } - 2f(x)=x2+2,g(x)=x​−2

Describe how the graph of the equation relates to the graph of y = x2. - f(x)=6x2f ( x ) = 6 x ^ { 2 }f(x)=6x2

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

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. - $x-3 y=-9 ;(0, \quad),(, 0),(2, \quad),(, 2)$ $Graph the equation by determining the missing values needed to plot the ordered pairs. - x-3 y=-9 ;(0, \quad),(, 0),(2, \quad),(, 2)$

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

Graph the circle. - $(x+1)^{2}+(y+3)^{2}=16$ $Graph the circle. - (x+1)^{2}+(y+3)^{2}=16$

Match the equation with the correct graph. - $y - 4 = \frac { 3 } { 2 } ( x + 2 )$

Graph the function. - $f ( x ) = \frac { 1 } { 6 } x ^ { 3 }$ $Graph the function. - f ( x ) = \frac { 1 } { 6 } x ^ { 3 }$

Describe how the graph of the equation relates to the graph of y = x2. - $f ( x ) = ( x - 7 ) ^ { 2 } + 3$

Give the domain and range of the relation. - $\{ ( 1,8 ) , ( - 3 , - 9 ) , ( - 6 , - 4 ) , ( 6 , - 9 ) \}$

Write an equation for the line described. Give your answer in standard form. -x-intercept $- 5$ , y-intercept 3

Decide whether the relation defines a function. - $\{ ( - 2,8 ) , ( 2 , - 4 ) , ( 4,9 ) , ( 9 , - 9 ) , ( 12 , - 6 ) \}$

Evaluate the function. -Find $f ( - 3 )$ when $f ( x ) = - 4 x - 6$

Solve the problem. -The linear function $f ( x ) = 1.7 x + 27$ models the percentage of people, $f ( x )$ , who graduated from college $x$ years after 1998 . Find and interpret the slope.

Write an equation for the line described. Give your answer in slope-intercept form. - $\mathrm { m } = - 3 , \mathrm {~b} = 7$

Determine whether (f ∘ g)(x) = x and whether (g ∘ f)(x) = x. - $f ( x ) = x ^ { 2 } + 2 , g ( x ) = \sqrt { x } - 2$

Describe how the graph of the equation relates to the graph of y = x2. - $f ( x ) = 6 x ^ { 2 }$