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Calculus Lesson 1.1 Part 3 of 3

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Sketch the graph of the absolute value function:

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Sketch the graph of the Greatest Integer Function: (also known as the stair step function)

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If a function f satisfies the rule f(-x) = f(x) for every member of x in its domain, then f is called an even function. (Figure 19)

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The geometric significance is that an even function is symmetric with respect to the y-axis.

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If f satisfies f(-x) = -f(x), then f is called an odd function. (Figure 20)

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If f satisfies f(-x) = -f(x), then f is called an odd function. (Figure 20) The graph of an odd function is symmetric about the origin.

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Determine whether each of the following functions is even, odd, or neither.

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The graph in figure 22 rises from A to B, falls from B to C, and rises again from C to D. The function f is said to be increasing on the interval [a,b], decreases from [b,c], and increases again from [c,d].

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Assignment: Pg. 22 #41, 43, 44, 49, 50, 51, 57, 61, 65, 67

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HAWKES LEARNING SYSTEMS math courseware specialists Copyright © 2012 Hawkes Learning Systems. All rights reserved. Symmetry of Functions and Equations.

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