What is the list of x values in a relation?
Domain or Input
Which of these relations represent functions?

Relations 2 and 4
If f(x) = x + 3, what is f(5)?
f(5) = 8

Mia, Justin, Brendan, and Karen
Solve for n. 30=-5(6n+6)
-2
What is the list of y values used in a relation?
Range or outputs
Which of the following numbers could be placed in the empty cell and the relation would still be a function?

a) -16, -12, 0, 19
b) -12, 0, 20, 43
c) -16, -8, 19, 47
d) -16, 20, 43, 47
b) -12, 0, 20, 43
If f(x) = 2x-7, evaluate f(3).
f(3) = -1
What would P(20) would represent?
The profit based on 20 passengers.
Solve for h: -5h + 6 > -4
h < 2
What do we use to determine if a graph is a function?
Vertical line test
Is the following relation a function? Why or why not?
(1, 1), (4, 1), (5, 2), (1, 2), (2, 5)
Not a function.
The input 1 has more than 1 output.
If f(x)=x2+x, evaluate f(-4).
f(-4) = 12
In 2014, County X had 783 miles of paved roads. Starting in 2015, the county has been building 8 miles of new paved roads each year. At this rate, if n is the number of years after 2014, which of the following functions f gives the number of miles of paved road there will be in County X? (Assume that no paved roads go out of service.)
a) f(n)=8+783n
b) f(n)=2,014+783n
c) f(n)=783+8n
d) f(n)=2,014+8n
c) f(n)=783+8n
Solve for x.
5(2x+6)=-4(-5 - 2x) +3x
x = 10
How can you tell if a relation is not a function when it is shown in a mapping?
Multiple arrows coming from an input
The table shows the inputs and outputs for the function f(x) = -7x - 5

When the input is -5, what is the output?
30
Given h(x) = (x-1)2
Evaluate h(-3)
h(-3) = 16
A manufacturer keeps track of her monthly costs by using a “cost function” that assigns a total cost for a given number of manufactured items, x. The function is C(x) = 5,000 + 1.3x.
What is the cost of 2,000 items?
$7,600
Find slope of the function: 2y−8x=3
Slope = 4
This word describes a relation that pairs each x value with only one y value.
What is a function?
Which point can you remove from this graph to make it a function?
(-1,-1) or (-1,3)
If f(x) = 2x−5, then what is the value of f(2) + f(5) ?
f(2) + f(5) = 4
Function f gives the temperature, in degrees Celsius, t hours after midnight.
Choose the equation that represents the statement: “At 1:30 p.m., the temperature was 20 degrees Celsius.”
a) f(1:30)=20
b) f(1.5)=20
c) f(13:30)=20
d) f(13.5)=20
d) f(13.5)=20
How do you graph y= 8?
What is a horizontal line at 8 on the y-axis?
True or False: Multiple x-values can go to the same y-value.
Table, Mapping diagram, Graph, Set of ordered pairs
Does this graph represent a function? Why or why not?

Function. It passes the vertical line test.
Evaluate g(-4), if g(x)=|x|+3.
g(-4) = 7
Tyler filled up his bathtub, took a bath, and then drained the tub. The function B gives the depth of the water, in inches, t minutes after Tyler began to fill the bathtub.
Explain the meaning of the statement in this situation.
B(1)<B(7)
At 1 minute, the tub has less water than at 7 minutes.
Solve the system of equations.
-7x+2y=18
6x + 6y = 0
(-2,2)