Question 1

Find the slope of the line and sketch the graph.
-$-5 y=3 x$

Accepted Answer

A)  $m = \frac { 5 } { 3 }$
  
B)  $m = - \frac { 3 } { 5 }$
  
C)  $\mathrm { m } = \frac { 3 } { 5 }$
  
D)  $\mathrm { m } = - \frac { 5 } { 3 }$
  
A)  $m = \frac { 5 } { 3 }$
  
B)  $m = - \frac { 3 } { 5 }$
  
C)  $\mathrm { m } = \frac { 3 } { 5 }$
  
D)  $\mathrm { m } = - \frac { 5 } { 3 }$

Question 2

Determine whether the three points are collinear.
-Which is not the graph of a function? What is its equation?

Accepted Answer

A)  graph D; $y = [ [ x ] ]$ 
B)  graph B; $x = y ^ { 2 }$ 
C)  graph C; $\mathrm { y } = \sqrt { \mathrm { x } }$ 
D)  graph $A ; y = x$ 
A)  graph D; $y = [ [ x ] ]$ 
B)  graph B; $x = y ^ { 2 }$ 
C)  graph C; $\mathrm { y } = \sqrt { \mathrm { x } }$ 
D)  graph $A ; y = x$

Question 3

Find the slope and the y-intercept of the line.
-$$4 x - 5 y = - 5$$

Accepted Answer

A)  slope: $- \frac { 4 } { 5 } ; y$-intercept: $( 0 , - 1 )$ 
B)  slope: $- \frac { 5 } { 4 } ; y$-intercept: $( 0,1 )$ 
C)  slope: $\frac { 4 } { 5 } ; y$-intercept: $( 0,1 )$ 
D)  slope: $\frac { 5 } { 4 } ; \mathrm { y }$-intercept: $( 0 , - 1 )$ 
A)  slope: $- \frac { 4 } { 5 } ; y$-intercept: $( 0 , - 1 )$ 
B)  slope: $- \frac { 5 } { 4 } ; y$-intercept: $( 0,1 )$ 
C)  slope: $\frac { 4 } { 5 } ; y$-intercept: $( 0,1 )$ 
D)  slope: $\frac { 5 } { 4 } ; \mathrm { y }$-intercept: $( 0 , - 1 )$

Question 4

Determine if the function is even, odd, or neither.
-$f ( x ) = x ^ { 4 } - 2 x ^ { 2 } + 2$

Accepted Answer

A)  Neither 
B)  Even 
C)  Odd 
A)  Neither 
B)  Even 
C)  Odd

Question 5

Use a graphing calculator to solve the linear equation.
-$$7 x + 3 ( - 3 x - 3 ) = - 6 - 5 x$$

Accepted Answer

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

Question 6

Write an equation for the line described. Write the equation in the form specified.
-parallel to $x = - 2$, through $( 5,3 )$

Accepted Answer

A)  $y = 3$ 
B)  $y = - 2$ 
C)  $x = 5$ 
D)  $x = 3$ 
A)  $y = 3$ 
B)  $y = - 2$ 
C)  $x = 5$ 
D)  $x = 3$

Question 7

Determine whether the three points are collinear.
-Which one is the graph of $y = \sqrt { x }$ ? What is it's domain?

Accepted Answer

A)  graph $A ; ( - \infty , \infty )$ 
B)  graph D; $[ 0 , \infty )$ 
C)  graph $C ; \{ - 2 , - 1,0,1,2 \}$ 
D)  graph B; $[ 0 , \infty )$ 
A)  graph $A ; ( - \infty , \infty )$ 
B)  graph D; $[ 0 , \infty )$ 
C)  graph $C ; \{ - 2 , - 1,0,1,2 \}$ 
D)  graph B; $[ 0 , \infty )$

Question 8

The graph of y = f(x) is given. Use the graph to find the function value.
-$$\text { Find } f ( - 5 )$$

Accepted Answer

A)  8 
B)  0 
C)  -5 
D)  3 
A)  8 
B)  0 
C)  -5 
D)  3

Question 9

Decide whether the relation defines a function.
-$y = 4 x - 6$

Accepted Answer

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

Question 10

Find the average rate of change illustrated in the graph.
- 
 Time (in hours)

Accepted Answer

A)  25 miles per hour 
B)  0.2 miles per hour 
C)  5 miles per hour 
D)  2.5 miles per hour 
A)  25 miles per hour 
B)  0.2 miles per hour 
C)  5 miles per hour 
D)  2.5 miles per hour

Question 11

Find the specified domain.
-Find the domain of $\left( \frac { f } { g } \right) ( x )$ when $f ( x ) = \sqrt { 3 x - 9 }$ and $g ( x ) = \frac { 1 } { x }$

Accepted Answer

A)  $[ 3 , \infty )$ 
B)  $[ - 3,0 ) \cup ( 0 , \infty )$ 
C)  $( \infty , 0 ) \cup ( 0 , \infty )$ 
D)  $[ - 3 , \infty )$ 
A)  $[ 3 , \infty )$ 
B)  $[ - 3,0 ) \cup ( 0 , \infty )$ 
C)  $( \infty , 0 ) \cup ( 0 , \infty )$ 
D)  $[ - 3 , \infty )$

Question 12

Find the average rate of change illustrated in the graph.
-Northwest Molded molds plastic handles which cost $0.30 per handle to mold. The fixed cost to run the molding machine is $2227 per week. If the company sells the handles for $1.30 each, how many handles must be
Molded and sold weekly to break even?

Accepted Answer

A)  7423 handles 
B)  2227 handles 
C)  1484 handles 
D)  1391 handles 
A)  7423 handles 
B)  2227 handles 
C)  1484 handles 
D)  1391 handles

Question 13

Give a rule for the piecewise-defined function. Then give the domain and range.
-$f(x)=2[x]$

Accepted Answer

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

Question 14

Suppose the point (2, 4) is on the graph of y $y = f ( x )$ . Find a point on the graph of the given function.
-The reflection of the graph of $y = f ( x )$ across the $y$-axis

Accepted Answer

A)  $( 2 , - 4 )$ 
B)  $( 2,4 )$ 
C)  $( - 2 , - 4 )$ 
D)  $( - 2,4 )$ 
A)  $( 2 , - 4 )$ 
B)  $( 2,4 )$ 
C)  $( - 2 , - 4 )$ 
D)  $( - 2,4 )$

Question 15

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

Accepted Answer

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

Question 16

Write all linear equations in slope-intercept form.
-With 23.5% commitment, a company can clean up 40% of an energy leak. With 28.5% commitment, it can clean up 80% of an energy leak. Find a linear equation that models the percent cleanup for x percent commitment.

Accepted Answer

A)  $y = x + 40$ 
B)  $y = 8 x + 148$ 
C)  $y = 5 x + 40$ 
D)  $y = 8 x - 148$ 
A)  $y = x + 40$ 
B)  $y = 8 x + 148$ 
C)  $y = 5 x + 40$ 
D)  $y = 8 x - 148$

Question 17

Match the equation with the correct graph.
-$$y - 2 = \frac { 5 } { 8 } ( x - 2 )$$

Accepted Answer

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

Question 18

Write all linear equations in slope-intercept form.
-A driver wants to gauge the fuel efficiency of her vehicle at speeds of 30 mph and above. She notices that traveling at an average speed of 45 mph results in a rating of 39 mpg, whereas at an average speed of 50 mph,
Her car rates 29 mpg. Find a linear equation to model the gas mileage y for an average speed of x mph. Find the
Slope-intercept form of the equation of the line.

Accepted Answer

A)  $y = \frac { 1 } { 2 } x + 129$ 
B)  $y = - 2 x + 129$ 
C)  $y = \frac { 1 } { 2 } x + 51$ 
D)  $y = - 2 x + 51$ 
A)  $y = \frac { 1 } { 2 } x + 129$ 
B)  $y = - 2 x + 129$ 
C)  $y = \frac { 1 } { 2 } x + 51$ 
D)  $y = - 2 x + 51$

Question 19

Give the domain and range of the relation.
-$$x = y ^ { 2 }$$

Accepted Answer

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

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 $y _ { 1 } = 0$ ?

$- 12 , - \frac { 13 } { 4 } , 3,12$

Accepted Answer

A)  3 
B)  12 
C)  $- \frac { 13 } { 4 }$ 
D)  $- 12$ 
A)  3 
B)  12 
C)  $- \frac { 13 } { 4 }$ 
D)  $- 12$

Find the slope of the line and sketch the graph. - $-5 y=3 x$

Determine whether the three points are collinear. -Which is not the graph of a function? What is its equation?

Find the slope and the y-intercept of the line. - $4 x - 5 y = - 5$

Determine if the function is even, odd, or neither. - $f ( x ) = x ^ { 4 } - 2 x ^ { 2 } + 2$

Use a graphing calculator to solve the linear equation. - $7 x + 3 ( - 3 x - 3 ) = - 6 - 5 x$

Write an equation for the line described. Write the equation in the form specified. -parallel to $x = - 2$ , through $( 5,3 )$

Determine whether the three points are collinear. -Which one is the graph of $y = \sqrt { x }$ ? What is it's domain?

The graph of y = f(x) is given. Use the graph to find the function value. - $\text { Find } f ( - 5 )$ $The graph of y = f(x) is given. Use the graph to find the function value. - \text { Find } f ( - 5 )$

Decide whether the relation defines a function. - $y = 4 x - 6$

Find the average rate of change illustrated in the graph. - Time (in hours)

Find the specified domain. -Find the domain of $\left( \frac { f } { g } \right) ( x )$ when $f ( x ) = \sqrt { 3 x - 9 }$ and $g ( x ) = \frac { 1 } { x }$

Give a rule for the piecewise-defined function. Then give the domain and range. - $f(x)=2[x]$

Suppose the point (2, 4) is on the graph of y $y = f ( x )$ . Find a point on the graph of the given function. -The reflection of the graph of $y = f ( x )$ across the $y$ -axis

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

Write all linear equations in slope-intercept form. -With 23.5% commitment, a company can clean up 40% of an energy leak. With 28.5% commitment, it can clean up 80% of an energy leak. Find a linear equation that models the percent cleanup for x percent commitment.

Match the equation with the correct graph. - $y - 2 = \frac { 5 } { 8 } ( x - 2 )$

Give the domain and range of the relation. - $x = y ^ { 2 }$

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

Find the slope of the line and sketch the graph. - −5y=3x-5 y=3 x−5y=3x

Determine whether the three points are collinear. -Which is not the graph of a function? What is its equation?

Find the slope and the y-intercept of the line. - 4x−5y=−54 x - 5 y = - 54x−5y=−5

Determine if the function is even, odd, or neither. - f(x)=x4−2x2+2f ( x ) = x ^ { 4 } - 2 x ^ { 2 } + 2f(x)=x4−2x2+2

Use a graphing calculator to solve the linear equation. - 7x+3(−3x−3)=−6−5x7 x + 3 ( - 3 x - 3 ) = - 6 - 5 x7x+3(−3x−3)=−6−5x

Write an equation for the line described. Write the equation in the form specified. -parallel to x=−2x = - 2x=−2 , through (5,3)( 5,3 )(5,3)

Determine whether the three points are collinear. -Which one is the graph of y=xy = \sqrt { x }y=x​ ? What is it's domain?

The graph of y = f(x) is given. Use the graph to find the function value. - Find f(−5)\text { Find } f ( - 5 ) Find f(−5)

Decide whether the relation defines a function. - y=4x−6y = 4 x - 6y=4x−6

Find the average rate of change illustrated in the graph. - Time (in hours)

Find the specified domain. -Find the domain of (fg)(x)\left( \frac { f } { g } \right) ( x )(gf​)(x) when f(x)=3x−9f ( x ) = \sqrt { 3 x - 9 }f(x)=3x−9​ and g(x)=1xg ( x ) = \frac { 1 } { x }g(x)=x1​

Give a rule for the piecewise-defined function. Then give the domain and range. - f(x)=2[x]f(x)=2[x]f(x)=2[x]

Suppose the point (2, 4) is on the graph of y y=f(x)y = f ( x )y=f(x) . Find a point on the graph of the given function. -The reflection of the graph of y=f(x)y = f ( x )y=f(x) across the yyy -axis

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

Write all linear equations in slope-intercept form. -With 23.5% commitment, a company can clean up 40% of an energy leak. With 28.5% commitment, it can clean up 80% of an energy leak. Find a linear equation that models the percent cleanup for x percent commitment.

Match the equation with the correct graph. - y−2=58(x−2)y - 2 = \frac { 5 } { 8 } ( x - 2 )y−2=85​(x−2)

Give the domain and range of the relation. - x=y2x = y ^ { 2 }x=y2

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 slope of the line and sketch the graph. - $-5 y=3 x$

Find the slope and the y-intercept of the line. - $4 x - 5 y = - 5$

Determine if the function is even, odd, or neither. - $f ( x ) = x ^ { 4 } - 2 x ^ { 2 } + 2$

Use a graphing calculator to solve the linear equation. - $7 x + 3 ( - 3 x - 3 ) = - 6 - 5 x$

Write an equation for the line described. Write the equation in the form specified. -parallel to $x = - 2$ , through $( 5,3 )$

Determine whether the three points are collinear. -Which one is the graph of $y = \sqrt { x }$ ? What is it's domain?

The graph of y = f(x) is given. Use the graph to find the function value. - $\text { Find } f ( - 5 )$ $The graph of y = f(x) is given. Use the graph to find the function value. - \text { Find } f ( - 5 )$

Decide whether the relation defines a function. - $y = 4 x - 6$

Find the specified domain. -Find the domain of $\left( \frac { f } { g } \right) ( x )$ when $f ( x ) = \sqrt { 3 x - 9 }$ and $g ( x ) = \frac { 1 } { x }$

Give a rule for the piecewise-defined function. Then give the domain and range. - $f(x)=2[x]$

Suppose the point (2, 4) is on the graph of y $y = f ( x )$ . Find a point on the graph of the given function. -The reflection of the graph of $y = f ( x )$ across the $y$ -axis

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

Match the equation with the correct graph. - $y - 2 = \frac { 5 } { 8 } ( x - 2 )$

Give the domain and range of the relation. - $x = y ^ { 2 }$