Question 1

Determine the largest open intervals of the domain over which the function is increasing, decreasing, and constant.
-

Accepted Answer

A)  Increasing $( - \infty , 0 )$; Decreasing $( 0 , \infty )$ 
B)  Increasing for all reals; Decreasing never 
C)  Increasing $( 0 , \infty )$; Decreasing $( - \infty , 0 )$ 
D)  Increasing never; Decreasing for all reals 
A)  Increasing $( - \infty , 0 )$; Decreasing $( 0 , \infty )$ 
B)  Increasing for all reals; Decreasing never 
C)  Increasing $( 0 , \infty )$; Decreasing $( - \infty , 0 )$ 
D)  Increasing never; Decreasing for all reals

Question 2

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

Accepted Answer

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

Question 3

Find the center and radius of the circle.
-$$x ^ { 2 } + y ^ { 2 } + 16 x + 6 y + 24 = 0$$

Accepted Answer

A)  center: $( - 3 , - 8 )$; radius: 7 
B)  center: $( - 8 , - 3 )$; radius: 7 
C)  center: $( 3,8 )$; radius: 49 
D)  center: $( 8,3 )$; radius: 49 
A)  center: $( - 3 , - 8 )$; radius: 7 
B)  center: $( - 8 , - 3 )$; radius: 7 
C)  center: $( 3,8 )$; radius: 49 
D)  center: $( 8,3 )$; radius: 49

Question 4

Match the equation with the correct graph.
-$$y = - \frac { 1 } { 3 } x - 2$$

Accepted Answer

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

Question 5

Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$ .
-$$y = - \frac { 1 } { 2 } ( x + 3 ) ^ { 3 } + 2$$

Accepted Answer

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

Question 6

Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$ .
-$f ( x ) = 7 \sqrt [ 3 ] { x }$

Accepted Answer

A)  a reflection across the x-axis 
B)  a translation 7 units up 
C)  a reflection across the y-axis 
D)  a vertical stretching by a factor of 7 
A)  a reflection across the x-axis 
B)  a translation 7 units up 
C)  a reflection across the y-axis 
D)  a vertical stretching by a factor of 7

Question 7

Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$ .
-$y=6|x|-3$

Accepted Answer

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

Question 8

Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$ .
-$y=(x+4)^{3}$

Accepted Answer

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

Question 9

Decide whether the relation defines a function.
-$x y = - 7$

Accepted Answer

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

Question 10

Find the center-radius form of the equation of a circle with center (5, 7) and tangent to the x-axis.

Accepted Answer

A)  $( x + 5 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 49$ 
B)  $( x - 5 ) ^ { 2 } + ( y - 7 ) ^ { 2 } = 49$ 
C)  $( x + 5 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 25$ 
D)  $( x - 5 ) ^ { 2 } + ( y - 7 ) ^ { 2 } = 25$ 
A)  $( x + 5 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 49$ 
B)  $( x - 5 ) ^ { 2 } + ( y - 7 ) ^ { 2 } = 49$ 
C)  $( x + 5 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 25$ 
D)  $( x - 5 ) ^ { 2 } + ( y - 7 ) ^ { 2 } = 25$

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)  $- 7$ 
B)  1 
C)  $- 1$ 
D)  7 
A)  $- 7$ 
B)  1 
C)  $- 1$ 
D)  7

Question 12

Graph the equation by plotting points.
-$y=-x^{2}+1$

Accepted Answer

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

Question 13

Decide whether the relation defines a function.
-$y ^ { 2 } = 4 x$

Accepted Answer

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

Question 14

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

Accepted Answer

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

Question 15

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

Accepted Answer

A)  $( - \infty , \infty )$ 
B)  $( - \infty , 0 ) \cup ( 0 , \infty )$ 
C)  $( - \infty , 1 ) \cup ( 1 , \infty )$ 
D)  $( - \infty , 1 ] \cup [ 1 , \infty )$ 
A)  $( - \infty , \infty )$ 
B)  $( - \infty , 0 ) \cup ( 0 , \infty )$ 
C)  $( - \infty , 1 ) \cup ( 1 , \infty )$ 
D)  $( - \infty , 1 ] \cup [ 1 , \infty )$

Question 16

Compute and simplify the difference quotient $\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0$
-$$f ( x ) = 4 x - 15$$

Accepted Answer

A)  4 
B)  15 
C)  $\frac { 15 } { 4 }$ 
D)  $- 15 \mathrm {~h}$ 
A)  4 
B)  15 
C)  $\frac { 15 } { 4 }$ 
D)  $- 15 \mathrm {~h}$

Question 17

Use a graphing calculator to solve the linear equation.
-Rewrite the equation so that one side is 0, then replace 0 with $y$. The graph of the equation for $y$ is shown. Use thu to determine the solution of the equation.

Accepted Answer

A)  $y = 2 x + 4 ; - 2$ 
B)  $y = 4 x + 2 ; - 2$ 
C)  $y = 4 x + 2 ; 0$ 
D)  $y = 2 x + 4 ; 0$ h 
A)  $y = 2 x + 4 ; - 2$ 
B)  $y = 4 x + 2 ; - 2$ 
C)  $y = 4 x + 2 ; 0$ 
D)  $y = 2 x + 4 ; 0$ h

Question 18

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

Accepted Answer

A)  $- 2 ; ( 0,4 ) , ( 8,0 )$ 
B)  $- \frac { 1 } { 2 } ; ( 0,4 ) , ( 8,0 )$ 
C)  $- \frac { 1 } { 2 } ; ( 0,8 ) , ( 4,0 )$ 
D)  $\frac { 1 } { 2 } ; ( 0,4 ) , ( 8,0 )$ 
A)  $- 2 ; ( 0,4 ) , ( 8,0 )$ 
B)  $- \frac { 1 } { 2 } ; ( 0,4 ) , ( 8,0 )$ 
C)  $- \frac { 1 } { 2 } ; ( 0,8 ) , ( 4,0 )$ 
D)  $\frac { 1 } { 2 } ; ( 0,4 ) , ( 8,0 )$

Question 19

Decide whether the relation defines a function.
-

Accepted Answer

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

Question 20

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 $y _ { 1 } = 0$ ?

$- 5,5 , \frac { 16 } { 3 } , 15$

Accepted Answer

A)  $\frac { 16 } { 3 }$ 
B)  5 
C)  $- 5$ 
D)  15 
A)  $\frac { 16 } { 3 }$ 
B)  5 
C)  $- 5$ 
D)  15

Determine the largest open intervals of the domain over which the function is increasing, decreasing, and constant. -

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

Find the center and radius of the circle. - $x ^ { 2 } + y ^ { 2 } + 16 x + 6 y + 24 = 0$

Match the equation with the correct graph. - $y = - \frac { 1 } { 3 } x - 2$

Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$ . - $y = - \frac { 1 } { 2 } ( x + 3 ) ^ { 3 } + 2$ $Describe how the graph of the equation relates to the graph of y y = \sqrt [ 3 ] { x } . - y = - \frac { 1 } { 2 } ( x + 3 ) ^ { 3 } + 2$

Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$ . - $f ( x ) = 7 \sqrt [ 3 ] { x }$

Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$ . - $y=6|x|-3$ $Describe how the graph of the equation relates to the graph of y y = \sqrt [ 3 ] { x } . - y=6|x|-3$

Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$ . - $y=(x+4)^{3}$ $Describe how the graph of the equation relates to the graph of y y = \sqrt [ 3 ] { x } . - y=(x+4)^{3}$

Decide whether the relation defines a function. - $x y = - 7$

Find the center-radius form of the equation of a circle with center (5, 7) and tangent to the x-axis.

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. -

Graph the equation by plotting points. - $y=-x^{2}+1$ $Graph the equation by plotting points. - y=-x^{2}+1$

Decide whether the relation defines a function. - $y ^ { 2 } = 4 x$

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

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

Compute and simplify the difference quotient $\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0$ - $f ( x ) = 4 x - 15$

Use a graphing calculator to solve the linear equation. -Rewrite the equation so that one side is 0, then replace 0 with $y$ . The graph of the equation for $y$ is shown. Use thu to determine the solution of the equation.

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

Decide whether the relation defines a function. -

Review of Basic Concepts

Equations and Inequalities

Polynomials and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Systems and Matrices

Arithmetic Sequence: Common Difference and First n Terms

Filters

Exam 3: Graphs and Functions

Determine the largest open intervals of the domain over which the function is increasing, decreasing, and constant. -

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

Find the center and radius of the circle. - x2+y2+16x+6y+24=0x ^ { 2 } + y ^ { 2 } + 16 x + 6 y + 24 = 0x2+y2+16x+6y+24=0

Match the equation with the correct graph. - y=−13x−2y = - \frac { 1 } { 3 } x - 2y=−31​x−2

Describe how the graph of the equation relates to the graph of y y=x3y = \sqrt [ 3 ] { x }y=3x​ . - y=−12(x+3)3+2y = - \frac { 1 } { 2 } ( x + 3 ) ^ { 3 } + 2y=−21​(x+3)3+2

Describe how the graph of the equation relates to the graph of y y=x3y = \sqrt [ 3 ] { x }y=3x​ . - f(x)=7x3f ( x ) = 7 \sqrt [ 3 ] { x }f(x)=73x​

Describe how the graph of the equation relates to the graph of y y=x3y = \sqrt [ 3 ] { x }y=3x​ . - y=6∣x∣−3y=6|x|-3y=6∣x∣−3

Describe how the graph of the equation relates to the graph of y y=x3y = \sqrt [ 3 ] { x }y=3x​ . - y=(x+4)3y=(x+4)^{3}y=(x+4)3

Decide whether the relation defines a function. - xy=−7x y = - 7xy=−7

Find the center-radius form of the equation of a circle with center (5, 7) and tangent to the x-axis.

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. -

Graph the equation by plotting points. - y=−x2+1y=-x^{2}+1y=−x2+1

Decide whether the relation defines a function. - y2=4xy ^ { 2 } = 4 xy2=4x

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

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

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)=4x−15f ( x ) = 4 x - 15f(x)=4x−15

Use a graphing calculator to solve the linear equation. -Rewrite the equation so that one side is 0, then replace 0 with yyy . The graph of the equation for yyy is shown. Use thu to determine the solution of the equation.

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

Decide whether the relation defines a function. -

Use a graphing calculator to solve the linear equation. -The graph of y1y 1y1 is shown in the standard viewing window. Which is the only choice that could possibly be the solution of the equation y1=0y _ { 1 } = 0y1​=0 ? −5,5,163,15- 5,5 , \frac { 16 } { 3 } , 15−5,5,316​,15

Review of Basic Concepts

Equations and Inequalities

Polynomials and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Systems and Matrices

Arithmetic Sequence: Common Difference and First n Terms

Filters

Find the center and radius of the circle. - $x ^ { 2 } + y ^ { 2 } + 16 x + 6 y + 24 = 0$

Match the equation with the correct graph. - $y = - \frac { 1 } { 3 } x - 2$

Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$ . - $y = - \frac { 1 } { 2 } ( x + 3 ) ^ { 3 } + 2$ $Describe how the graph of the equation relates to the graph of y y = \sqrt [ 3 ] { x } . - y = - \frac { 1 } { 2 } ( x + 3 ) ^ { 3 } + 2$

Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$ . - $f ( x ) = 7 \sqrt [ 3 ] { x }$

Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$ . - $y=6|x|-3$ $Describe how the graph of the equation relates to the graph of y y = \sqrt [ 3 ] { x } . - y=6|x|-3$

Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$ . - $y=(x+4)^{3}$ $Describe how the graph of the equation relates to the graph of y y = \sqrt [ 3 ] { x } . - y=(x+4)^{3}$

Decide whether the relation defines a function. - $x y = - 7$

Graph the equation by plotting points. - $y=-x^{2}+1$ $Graph the equation by plotting points. - y=-x^{2}+1$

Decide whether the relation defines a function. - $y ^ { 2 } = 4 x$

Compute and simplify the difference quotient $\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0$ - $f ( x ) = 4 x - 15$

Use a graphing calculator to solve the linear equation. -Rewrite the equation so that one side is 0, then replace 0 with $y$ . The graph of the equation for $y$ is shown. Use thu to determine the solution of the equation.