Precalc0101to0102-page17

Precalc0101to0102-page17 - (Section 1.1: Functions) 1.1.16...

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(Section 1.1: Functions) 1.1.16 Example 18 (Evaluating a Function at a Non-numeric Input) Let fx () = 3 x 2 ± 2 x + 5 . Evaluate + h . § Solution WARNING 17 : + h is often not equivalent to + h or + fh . Instead, think: Substitution . To evaluate + h , we take 3 x 2 ± 2 x + 5 , and we replace all occurrences of x with x + h . This may seem awkward, because we are replacing x with another expression containing x . = 3 x 2 ± 2 x + 5 ² + h = 3 x + h 2 ± 2 x + h + 5 = 3 x 2 + 2 xh + h 2 ± 2 x ± 2 h + 5 WARNING 18 : Be careful when
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This document was uploaded on 12/29/2011.

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