Chapter 2 Summary and Review

Study Guide

Key Terms and Concepts Examples
SECTION 2.1: INCREASING, DECREASING, AND PIECEWISE FUNCTIONS; APPLICATIONS

Increasing, Decreasing, and Constant Functions

A function f is said to be increasing on an open interval I if for all a and b in that interval, a<b implies f(a)<f(b).

A function f is said to be decreasing on an open interval I if for all a and b in that interval, a<b implies f(a)>f(b).

A function f is said to be constant on an open interval I if for all a and b in that interval, f(a)=f(b).

Determine the intervals on which the function is (a) increasing; (b) decreasing; (c) constant.

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