This word is used to describe the set of all inputs for a function.
What is the domain?
What is No, not a function? It does not pass the vertical line test.
f(-3) = 2x +1
f(-3) = ?
What is f(-3) = -5 ?
This is a function. Is it one to one or many to one?

Find the DOMAIN:
{(-2, 4), (3, 2), (2, 10)}
What is D: {-2, 2, 3}?
This word is used to describe the set of all outputs of a function.
What is the range?
What is Yes?
Let f(x) = 6x + 1; find f(-5).
What is f(-5) = -29?
One to One or Many to One?
What is many to one since there are multiply points with the same y value.
Find the RANGE:
{(6,4), (-9,8), ( 7, 4)}
What is R: {4,8}
Name 2 other terms that are synonyms for Domain
Input, x or Independent Variable
The mapping diagram shows a function or not.

What is No, not a function?
Based on the graph of the function, if f(x) = 3 then this is the corresponding x value.

What is x = 2?
One to One or Many to One?

One to one since each y value is not repeated.
John earns $10 each hour at his job. The domain is represented by what variable?
What is hours?
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 domain of 2 has two different ranges 5 and 9
Evaluate this function for P(-4) if
P(x)=5x + 2
P(-4)=-18
One to One or Many to One?
{(2, 3), (4, 5), (6, 7), (7,7)}
Many to one since the y-value of 7 repeats.
James buys tickets to a concert that cost $20 each.
What are the first 3 realistic domain and range values for this situation?
Domain is # of tickets
D: {0, 1, 2...}
Range is total cost
R: {0, 20, 40...}
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 the range of 8 repeats?
Find f(x) =0. The corresponding x value(s) are...

One to One or Many to One?
{(0,0), (1,1), (2,2), (3, 3)}
One to One since no x or y values repeat.
Daisy orders boxes of candles. There are 6 candles in each box.
What are the first three input and output values for the realistic domain and range?
Domain: # of boxes
D: {0,1,2...}
Range: Total number of Candles
R: {0, 6, 12 ...}