Question 1

Evaluate the function.
-Find $f ( 0 )$ if $f = \{ ( - 2,3 ) , ( 3,0 ) , ( 0,5 ) , ( 5 , - 2 ) \}$

Accepted Answer

A)  $( 5,3 )$ 
B)  3 
C)  None of these 
D)  5 
A)  $( 5,3 )$ 
B)  3 
C)  None of these 
D)  5

Question 2

Describe how the graph of the equation relates to the graph of y = x2.
-$$f ( x ) = x ^ { 2 } + 4$$

Accepted Answer

A)  a translation 4 units to the left 
B)  a translation 4 units to the right 
C)  a translation 4 units down 
D)  a translation 4 units up 
A)  a translation 4 units to the left 
B)  a translation 4 units to the right 
C)  a translation 4 units down 
D)  a translation 4 units up

Question 3

Graph the line described.
-through $( 0,5 ) ; \mathrm { m } = - 5$

Accepted Answer

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

Question 4

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

Accepted Answer

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

Question 5

Find the average rate of change illustrated in the graph.
-

Accepted Answer

A)  $\$ 0.50$ per minute 
B)  $\$ 4.00$ per minute 
C)  $\$ 2.00$ per minute 
D)  $\$ 0.25$ per minute 
A)  $\$ 0.50$ per minute 
B)  $\$ 4.00$ per minute 
C)  $\$ 2.00$ per minute 
D)  $\$ 0.25$ per minute

Question 6

Decide whether the relation defines a function.
-

Accepted Answer

A) $\text { Not a function }$ 
B)  Function 
A) $\text { Not a function }$ 
B)  Function

Question 7

Determine the intervals of the domain for which the function is increasing, decreasing, and constant.
-

Accepted Answer

A)  Increasing $[ 1 , \infty )$; Decreasing $( - \infty , 1 ]$ 
B)  Increasing $[ - 1 , \infty )$; Decreasing $( - \infty , - 1 ]$ 
C)  Increasing $( - \infty , 1 ]$; Decreasing $[ 1 , \infty )$ 
D)  Increasing $( - \infty , - 1 ]$; Decreasing $[ - 1 , \infty )$ 
A)  Increasing $[ 1 , \infty )$; Decreasing $( - \infty , 1 ]$ 
B)  Increasing $[ - 1 , \infty )$; Decreasing $( - \infty , - 1 ]$ 
C)  Increasing $( - \infty , 1 ]$; Decreasing $[ 1 , \infty )$ 
D)  Increasing $( - \infty , - 1 ]$; Decreasing $[ - 1 , \infty )$

Question 8

Use a graphing calculator to solve the linear equation.
-The graph of $y _ { 1 }$ is shown in the standard viewing window. Which is the only choice that could possibly be the solution of the equation $\mathrm { y } _ { 1 } = 0$ ?

$$- 12 , - 7 , - \frac { 13 } { 4 } , 12$$

Accepted Answer

A)  12 
B)  $- 12$ 
C)  $- 7$ 
D)  $- \frac { 13 } { 4 }$ 
A)  12 
B)  $- 12$ 
C)  $- 7$ 
D)  $- \frac { 13 } { 4 }$

Question 9

Graph the function.
-$y=\sqrt{x-5}$

Accepted Answer

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

Question 10

For the given functions f and g , find the indicated composition.
-$$f ( x ) = \sqrt { x + 5 } , \quad g ( x ) = - \frac { 7 } { x }$$
$( g \circ f ) ( x )$

Accepted Answer

A)  $\frac { 7 } { \sqrt { - x + 5 } }$ 
B)  $\sqrt { - \frac { 7 } { x } + 5 }$ 
C)  $- \frac { 1 } { \sqrt { 7 x + 5 } }$ 
D)  $- \frac { 7 } { \sqrt { x + 5 } }$ 
A)  $\frac { 7 } { \sqrt { - x + 5 } }$ 
B)  $\sqrt { - \frac { 7 } { x } + 5 }$ 
C)  $- \frac { 1 } { \sqrt { 7 x + 5 } }$ 
D)  $- \frac { 7 } { \sqrt { x + 5 } }$

Question 11

Give the domain and range of the relation.
-$$y = \sqrt { 6 + x }$$

Accepted Answer

A)  domain: $( - \infty , \infty )$; range: $[ - 6 , \infty )$ 
B)  domain: $[ - 6 , \infty )$; range: $[ 0 , \infty )$ 
C)  domain: $( - \infty , \infty )$; range: $( - \infty , \infty )$ 
D)  domain: $[ 0 , \infty )$; range: $( - \infty , \infty )$ 
A)  domain: $( - \infty , \infty )$; range: $[ - 6 , \infty )$ 
B)  domain: $[ - 6 , \infty )$; range: $[ 0 , \infty )$ 
C)  domain: $( - \infty , \infty )$; range: $( - \infty , \infty )$ 
D)  domain: $[ 0 , \infty )$; range: $( - \infty , \infty )$

Question 12

Find the slope of the line satisfying the given conditions.
-horizontal, through $( 1 , - 9 )$

Accepted Answer

A)  0 
B)  -1 
C)  1 
D)  undefined 
A)  0 
B)  -1 
C)  1 
D)  undefined

Question 13

Graph the function.
-$$g ( x ) = - ( x - 2 ) ^ { 3 } - 4$$

Accepted Answer

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

Question 14

An equation that defines y as a function of x is given. Solve for y in terms of x, and replace y with the function notation
f(x).
-$$y - 4 x ^ { 2 } = 2 - x$$

Accepted Answer

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

Question 15

Graph the linear function and give the domain and the range. If the function is a constant function, identify it as such.
-$f(x)=-2 x-3$

Accepted Answer

A)  $D=(-\infty, \infty), \quad R=(-\infty, \infty)$
  
B) $D=(-\infty, \infty), \quad R=(-\infty, \infty)$
  
C) $D=(-\infty, \infty), \quad R=(-\infty, \infty)$
  
D) $\mathrm{D}=(-\infty, \infty), \mathrm{R}=(-\infty, \infty)$
  
A)  $D=(-\infty, \infty), \quad R=(-\infty, \infty)$
  
B) $D=(-\infty, \infty), \quad R=(-\infty, \infty)$
  
C) $D=(-\infty, \infty), \quad R=(-\infty, \infty)$
  
D) $\mathrm{D}=(-\infty, \infty), \mathrm{R}=(-\infty, \infty)$

Question 16

Graph the point symmetric to the given point.
-Plot the point (-4, 5), then plot the point that is symmetric to (-4, 5) with respect to the y-axis.

Accepted Answer

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

Question 17

Graph the point symmetric to the given point.
-Plot the point (-8, 0), then plot the point that is symmetric to (-8, 0) with respect to the x-axis.

Accepted Answer

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

Question 18

Find the center-radius form of the equation of the circle.
-center $( 0 , - 10 )$, radius 6

Accepted Answer

A)  $x ^ { 2 } + ( y + 10 ) ^ { 2 } = 36$ 
B)  $( x - 10 ) ^ { 2 } + y ^ { 2 } = 36$ 
C)  $( x + 10 ) ^ { 2 } + y ^ { 2 } = 36$ 
D)  $x ^ { 2 } + ( y - 10 ) ^ { 2 } = 6$ 
A)  $x ^ { 2 } + ( y + 10 ) ^ { 2 } = 36$ 
B)  $( x - 10 ) ^ { 2 } + y ^ { 2 } = 36$ 
C)  $( x + 10 ) ^ { 2 } + y ^ { 2 } = 36$ 
D)  $x ^ { 2 } + ( y - 10 ) ^ { 2 } = 6$

Question 19

Graph the equation by plotting points.
-$y=|7-x|$

Accepted Answer

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

Question 20

Graph the function.
-$y=3|x|-8$

Accepted Answer

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

Evaluate the function. -Find $f ( 0 )$ if $f = \{ ( - 2,3 ) , ( 3,0 ) , ( 0,5 ) , ( 5 , - 2 ) \}$

Describe how the graph of the equation relates to the graph of y = x2. - $f ( x ) = x ^ { 2 } + 4$

Graph the line described. -through $( 0,5 ) ; \mathrm { m } = - 5$ $Graph the line described. -through ( 0,5 ) ; \mathrm { m } = - 5$

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

Find the average rate of change illustrated in the graph. -

Decide whether the relation defines a function. -

Determine the intervals of the domain for which the function is increasing, decreasing, and constant. -

Graph the function. - $y=\sqrt{x-5}$ $Graph the function. - y=\sqrt{x-5}$

For the given functions f and g , find the indicated composition. - $f ( x ) = \sqrt { x + 5 } , \quad g ( x ) = - \frac { 7 } { x }$ $( g \circ f ) ( x )$

Give the domain and range of the relation. - $y = \sqrt { 6 + x }$

Find the slope of the line satisfying the given conditions. -horizontal, through $( 1 , - 9 )$

Graph the function. - $g ( x ) = - ( x - 2 ) ^ { 3 } - 4$ $Graph the function. - g ( x ) = - ( x - 2 ) ^ { 3 } - 4$

An equation that defines y as a function of x is given. Solve for y in terms of x, and replace y with the function notation f(x). - $y - 4 x ^ { 2 } = 2 - x$

Graph the linear function and give the domain and the range. If the function is a constant function, identify it as such. - $f(x)=-2 x-3$

Graph the point symmetric to the given point. -Plot the point (-4, 5), then plot the point that is symmetric to (-4, 5) with respect to the y-axis.

Graph the point symmetric to the given point. -Plot the point (-8, 0), then plot the point that is symmetric to (-8, 0) with respect to the x-axis.

Find the center-radius form of the equation of the circle. -center $( 0 , - 10 )$ , radius 6

Graph the equation by plotting points. - $y=|7-x|$

Graph the function. - $y=3|x|-8$

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

Evaluate the function. -Find f(0)f ( 0 )f(0) if f={(−2,3),(3,0),(0,5),(5,−2)}f = \{ ( - 2,3 ) , ( 3,0 ) , ( 0,5 ) , ( 5 , - 2 ) \}f={(−2,3),(3,0),(0,5),(5,−2)}

Describe how the graph of the equation relates to the graph of y = x2. - f(x)=x2+4f ( x ) = x ^ { 2 } + 4f(x)=x2+4

Graph the line described. -through (0,5);m=−5( 0,5 ) ; \mathrm { m } = - 5(0,5);m=−5

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

Find the average rate of change illustrated in the graph. -

Decide whether the relation defines a function. -

Determine the intervals of the domain for which the function is increasing, decreasing, and constant. -

Graph the function. - y=x−5y=\sqrt{x-5}y=x−5​

For the given functions f and g , find the indicated composition. - f(x)=x+5,g(x)=−7xf ( x ) = \sqrt { x + 5 } , \quad g ( x ) = - \frac { 7 } { x }f(x)=x+5​,g(x)=−x7​ (g∘f)(x)( g \circ f ) ( x )(g∘f)(x)

Give the domain and range of the relation. - y=6+xy = \sqrt { 6 + x }y=6+x​

Find the slope of the line satisfying the given conditions. -horizontal, through (1,−9)( 1 , - 9 )(1,−9)

Graph the function. - g(x)=−(x−2)3−4g ( x ) = - ( x - 2 ) ^ { 3 } - 4g(x)=−(x−2)3−4

An equation that defines y as a function of x is given. Solve for y in terms of x, and replace y with the function notation f(x). - y−4x2=2−xy - 4 x ^ { 2 } = 2 - xy−4x2=2−x

Graph the linear function and give the domain and the range. If the function is a constant function, identify it as such. - f(x)=−2x−3f(x)=-2 x-3f(x)=−2x−3

Graph the point symmetric to the given point. -Plot the point (-4, 5), then plot the point that is symmetric to (-4, 5) with respect to the y-axis.

Graph the point symmetric to the given point. -Plot the point (-8, 0), then plot the point that is symmetric to (-8, 0) with respect to the x-axis.

Find the center-radius form of the equation of the circle. -center (0,−10)( 0 , - 10 )(0,−10) , radius 6

Graph the equation by plotting points. - y=∣7−x∣y=|7-x|y=∣7−x∣

Graph the function. - y=3∣x∣−8y=3|x|-8y=3∣x∣−8

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

Evaluate the function. -Find $f ( 0 )$ if $f = \{ ( - 2,3 ) , ( 3,0 ) , ( 0,5 ) , ( 5 , - 2 ) \}$

Describe how the graph of the equation relates to the graph of y = x2. - $f ( x ) = x ^ { 2 } + 4$

Graph the line described. -through $( 0,5 ) ; \mathrm { m } = - 5$ $Graph the line described. -through ( 0,5 ) ; \mathrm { m } = - 5$

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

Graph the function. - $y=\sqrt{x-5}$ $Graph the function. - y=\sqrt{x-5}$

For the given functions f and g , find the indicated composition. - $f ( x ) = \sqrt { x + 5 } , \quad g ( x ) = - \frac { 7 } { x }$ $( g \circ f ) ( x )$

Give the domain and range of the relation. - $y = \sqrt { 6 + x }$

Find the slope of the line satisfying the given conditions. -horizontal, through $( 1 , - 9 )$

Graph the function. - $g ( x ) = - ( x - 2 ) ^ { 3 } - 4$ $Graph the function. - g ( x ) = - ( x - 2 ) ^ { 3 } - 4$

An equation that defines y as a function of x is given. Solve for y in terms of x, and replace y with the function notation f(x). - $y - 4 x ^ { 2 } = 2 - x$

Graph the linear function and give the domain and the range. If the function is a constant function, identify it as such. - $f(x)=-2 x-3$

Find the center-radius form of the equation of the circle. -center $( 0 , - 10 )$ , radius 6

Graph the equation by plotting points. - $y=|7-x|$

Graph the function. - $y=3|x|-8$