5.2 Relations and Functions

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.

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

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.

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

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

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  

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

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