This word is used to describe the set of all inputs for a function.
This word is used to describe the set of all outputs of a function.
What is the domain and range?
What is No, not a function? It does not pass the vertical line test.
f(-3) if f(x) = 2x +1
What it -5 ?
If Sally sells cookies for $12 a dozen, determine the independent and dependent variables.
A chipmunk eats his store of winter acorns at a constant rate of 5 a day. Using the function E(a)= -5a+60 find how long before he eats half of his stash.
6 days
What does y=mx+b represent?
The slope-intercept form of a linear function where m is the slope and b is the y-intercept.
What is Yes?
Let f(x) = x2 + x + 1; find f(-5).
What is 21?
Does the following represent a function?
{(10, 8), (12, 4), (15, 15), (9, 4)}
Yes
Mary also cleans houses on the weekend. She charges $10 a room plus a $50 flat supply fee, regardless of the size of the room. Write the total charge, c, of a cleaning job as a function of the number of rooms (r).
f(r) = 10r + 50
What is a function?
A relationship in which each input has exactly one output.
The mapping diagram shows a function or not.

What is No, not a function?
Based on the graph of the function, what is f(4)?

f(4) = -2
What test can be used to determine if a graph represents a function or not?
The vertical line test
The painter is selling packages of paints and brushes to students. A package of paints cost $4.50 more than a package of brushes. Write the total cost of a package of paints (p) as a function of the cost of a package of brushes (b).
p = b + 4.50
How do you determine if a GRAPH is a function or not?
What is the Vertical Line Test?
Does the following table represent a function?
x y
1 2
2 5
6 2
2 9
5 1
What is No, because the input (x) of 2 has two different outputs (y)?
Write a function to represent:
Input 0 3 6 9 12
Output −4 2 8 14 20
y = 2x - 4
Rod is paid an overtime rate of $25 per hour after his basic wage of $600 per week. Write a function for the total pay (p) if he works (h) hours of overtime.
p = 25h + 600
A new discount Netflix service charges $10 a month plus $5.00 for every family member on the plan. Write a linear function that represents the relationship between the number of people (x) and the cost of the plan (y) per month.
y = 5x + 10
This word describes any set of ordered pairs where each x-value is paired with one y-value.
What is a Function?
Is this a function and why?

What is no, because x's repeat at 8?
Write an equation to represent the function:
Input: Output:
−2 4
−1 1
0 -2
1 -5
2 -8
y = -3x - 2
Choose the equation that is not a linear function.
A. 8x + 12 = 2y
B. y =x/5 + 20
C. x = 12y
D. y = (2x)x
D. because y = (2x)x is y = 2x^2
Choose the statement that describes a relationship that has a negative slope.
A. Stan makes $2 for every customer on his newspaper route.
B. Lisa’s parents give her $10 each week for her allowance.
C. Greg pays $25 each time he goes rock climbing.
D. The booster club makes $3 profit for each t-shirt they sell.
C. Greg pays $25 each time he goes rock climbing.