Piecewise Functions - Concept

Concept Concept (1)

In real world situations it can be difficult to describe events with a single smooth function. We sometimes need to use piecewise functions to describe these situations. Piecewise functions are functions that are defined to be smooth functions for specific intervals of the independent variable, most commonly the x-variable.

Sample Sample Problems (2)

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Piecewise Functions - Problem 1

Graph f(x) = {

x² − 2 if x ≤ 1
x − 2 if x > 1
Problem 1
How to graph a two part piecewise function.
Piecewise Functions - Problem 2

Graph f(x) = {

3 if x < -2
2x − 1 if -2 ≤ x < 1
-x² + 1 if 1 ≤ x
Problem 2
How to graph a three part piecewise function.