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