This document defines key concepts related to functions including: - A function pairs each input value with exactly one output value. - The domain is the set of all possible input values, usually represented by x. The range is the set of all possible output values, usually represented by y. - The independent variable represents the input values that can be any value in the domain. The dependent variable represents the output values which depend on the value of the independent variable.

2. A function is a relationship that
pairs each input value with
exactly one output.
• Function machine:
• One number goes in
• Another unique
number comes out.
-2
y = 3x
-6

3. Domain is the set of all
possible input values
Usually x’s
Range is the set of all possible
output values
Usually y’s

4. Write the ordered pairs.
Identify inputs and outputs.
Example:

5. Find the domain and range:

6. Find the domain and range:

7. Independent variable –
represents the input values
Can be any value in the domain
Dependent variable –
represents the output values
Depends on the value of the
independent variable

8. The # of quarters you put in a
parking meter affects the time
left on the meter.
Identify the independent and
dependent variables.

9. Ex: The function y = -4x + 14
gives the number of avocados left
after making x batches of
guacamole.
Identify the independent and
dependent variables.
The domain is 0, 1, 2, and 3.
What is the range?

10. The function y = -3x + 12 gives
the amount y (in ounces) of juice
remaining after you take x gulps.
Identify the independent and
dependent variables.
The domain is 0, 1, 2, 3 and 4.
What is the range?