Functions
Domain and Range
Standard Form
Slope-intercept Form
Random/Transformations
100

Does the following set of points represent a function?

{(1,2), (2,3), (3,5), (5,8)}

YES, each input has exactly one output.

100

***State whether the following relation is a function, and identify the domain and range. {(0,1), (1,1), (2,1), (3,1), (4,1), (5,1)}

Yes, it is a function

Domain: {0,1,2,3,4,5}

Range: {1}

100
Find the x-intercept of the following linear function.

Please state your answer as a point!

2x+3y=18

x-int: (9,0)

100

Identify the slope and y-intercept of the following equation.

y=-1/2x+3

Slope: -1/2

y-int: (0,3)

100

Identify the slope and type of line for the equation y=3

slope = 0

Horizontal line

200

***Given f(x)=5x+2, evalute f(3).

f(3)=17

200

What is the domain of the following function?

{-1,0,1,2,3}

200

Find the y-intercept of the function, 5x-4y=20.

Write your answer as a point!

y-int: (0,-5)

200

Describe the graph of y=2x-3

Start at -3 on the y-axis and move up 2 right 1.

200

***g(x)=f(x-1)+2

Name the transformations that have occurred to create g(x).

Hor. Trans Right 1 and Vert. Trans Up 2

300

***Given f(x)=2x-10, find x such that f(x)=8.

x=9

300

Find the domain of the graph using the correct notation.

-2 ≤ x ≤ 4

300

Graph the following linear function

2x-5y=10

x-int: (5,0)

y-int: (0,-2)

Goes UP to the right

300

*** Rewrite the following equation in slope-intercept form and identify the slope and y-intercept.

2x+3y=15

y=-2/3x+5

m=-2/3

y-int: (0,5)

300

***Name the transformations that have occurred.

g(x)=2f(-x)

Vert Stretch by 2 and Reflection over the y-axis.

400

Which the following equation(s) do not represent a linear function?

y=x^2+3

2y=-3x+12

2x+3y=15

y=1/x+4

y=2x-7

y=x^2+3 and y=1/x+4

400

Given the following graph, identify the range of the function using correct notation.

1 ≤ y ≤ 5

400

Graph the following function to find the slope of the line.

3x+4y=24

m=-3/4

400

Graph the following equation

2y=2x+6

Start at 3 on the y-axis and move up 1 right 1.

400
Write the equation of a vertical line that passes through the following points. (3,5) and (3,7)

x=3

500

*** The linear function E(t) = 50 + 30t represents Charlie’s earnings E as a function of time worked t (in hours). 

Explain what E(4)=170 represents.

Charlie earns $170 for working 4 hours.

500

Identify the range of the following function

 y ≤ 2

500

***Identify both the x- and y-intercepts of the function. Simply any fractions, AND write as a point!

8x-4y=18

x-int: (9/4,0)

y-int: (0,-9/2)

500

***Graph the following function.

y=-2/5x + 1

Start at 1 on the y-axis, move down 2 right 5.

500

Write the equation of g(x) such that f(x) has been reflected over the x-axis, and is translated left 3 units and down 5 units.

g(x)=-f(x+3)-5

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