Functions Relation such that each element x in a set A maps to EXACTLY ONE element y in a set B  Set A: Domain = set of all numbers for which the formula.

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Presentation transcript:

Functions Relation such that each element x in a set A maps to EXACTLY ONE element y in a set B  Set A: Domain = set of all numbers for which the formula makes sense and defines real numbers (x values)  x = independent variable  Set B: Range = f(x) = set of all possible f(x) as x varies through the domain (y values)  y = dependent variable

Example

Vertical Line Test  A curve in the xy-plane is the graph of a function of x if and only if NO vertical line intersects the curve more than once  If any vertical line hits more than one point, the graph is not a function

Example Homework: p. 14 #1, 3, 11, 15, 29

Even v. Odd Functions

Function Guide

XY XY

XY XY

Composition of Functions

Piecewise Defined Functions XY “Step Function”

Examples Homework: p. 14 #9, 31, odd

Graph and Turn In for 20 Points