Precalc0103to0104-page5 - (Section 1.3 Basic Graphs and...

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(Section 1.3: Basic Graphs and Symmetry) 1.3.5 PART F: POWER FUNCTIONS WITH POSITIVE, EVEN POWERS and INTERSECTION POINTS The term “even function” comes from the following fact: If fx () = x n , where n is an even integer, then f is an even function. • The graph of y = x 2 is called a parabola (see Chapters 2 and 10). • The graphs of y = x 4 , y = x 6 , etc. resemble that parabola, although they are not called parabolas. • We will discuss the cases with nonpositive exponents later.
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