Precalc0101to0102-page13

Precalc0101to0102-page13 - (Section 1.1 Functions 1.1.12...

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(Section 1.1: Functions) 1.1.12 Example 12 (Finding a Domain) Let fx () = x ± 3 . Find Dom f , the domain of f . § Solution x ± 3 is a real output ± x ± 3 ² 0 ± x ± 3 . WARNING 10 : We solve the weak inequality x ± 3 ² 0 , not the strict inequality x ± 3 > 0 . Observe that = 0 , a real number. The domain of f … in set-builder form is: x ± ± x ² 3 {} , or x ± ± : x ² 3 … in graphical form is: … in interval form is: 3, ± ² ³ ) Range f = 0, ± ² ³ ) . Ranges will be easier to determine once we learn how to graph these functions in Section 1.4. • If the rule for f had been given by ft = t ± 3 , we still would have had the same function with the
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This document was uploaded on 12/29/2011.

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