Q. 10 - Precalculus Enhanced with Graphing Utilities

Question

Concepts and Vocabulary

True or False:  Even functions have graphs that are symmetric with respect to the origin

Step-by-Step Solution

Answer

Even functions have graphs that are symmetric with respect to the origin : False

Step 1: Given Information

Even functions have graphs that are symmetric with respect to the origin  

Step 2: Even or odd function

A function is even if and only if its graph is symmetric with respect to the y-axis. A function is odd if and only if its graph is symmetric with respect to the origin.

Even functions have graphs that are symmetric with respect to the origin : False