1. 5.2 Relations and Functions

2. Identifying Relations and Functions
Relation: A set of ordered pairs.
Independent Variable:
Speed  input (domain)
Dependent Variable:
Braking Distance  output (range)
You can list the set of ordered pairs in a relation using braces.
A function is a relation that assigns exactly one output (range) value for each input (domain) value.

3. Identifying Relations and Functions
One way to tell if a relation is a function is by making a mapping diagram. Determine whether the relation is a function.
domain
range

4. Identifying Relations and Functions
Vertical Line Test: If any vertical line passes through more than one point of a graph, then the relation is not a function.

5. Identifying Relations and Functions
Vertical Line Test:
Function or not?
Ex3)
Ex4)

6. Evaluating Functions
A function rule is an equation that describes a function.
can also be written using function notation:

7. Evaluating Functions
Ex5) Make a table of values for the function f(x) = 2x – 4.
Use 1, 2, 3, and 4 for the domain (input values).
input
output x
f(x)= 2x - 4 y

8. Evaluating Functions
Ex6) Make a table to find the range of the function rule for the given domain.

9. 5.2 Relations and Functions
Homework #:35
Page 259 # 1-3,
9-12, 32-35