Precalc0105to0107-page39

Precalc0105to0107-page39 - (Section 1.7: Symmetry...

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(Section 1.7: Symmetry Revisited) 1.7.9 Example 8 (Applying a Product Rule) Let fx () = 7 x 6 ± x 2 + 4 x 3 ± 5 x . Is f even, odd, or neither? § Solution = even odd = odd Sign Rule: P N = N . f is an odd function. § Example 9 (Applying Product and Quotient Rules) In Chapter 4, we will see that the sine function (abbreviated “sin” when applied to an argument) is odd , and the cosine function (abbreviated “cos”) is even . Let q ± = ² cos sin . Is q even, odd, or neither? § Solution WARNING 4 : The “ ± ” sign in front of the fraction is inconsequential in our analysis; multiplication by the constant
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