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.

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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