Precalc0105to0107-page3

Precalc0105to0107-page3 - (Section 1.5: Piecewise-Defined...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
(Section 1.5: Piecewise-Defined Functions; Limits and Continuity in Calculus) 1.5.3 PART C: EVALUATING PIECEWISE-DEFINED FUNCTIONS Example 1 (Evaluating a Piecewise-Defined Function) Let the function f be defined by: fx () = x 2 , ± 2 ² x < 1 x + 1, 1 ² x ² 2 ³ ´ µ • To evaluate f ± 1 , we use the top rule, since ± 2 ²± 1 < 1 . f ± 1 = ± 1 2 = 1 • To evaluate f 1 , we use the bottom rule, since 1 ± 1 ± 2 . f 1 = 1 + 1 = 2 f 10 , for example, is undefined , because we have no rule for x = 10 . 10 is not in the domain of f , which is ± 2, 2 ² ³ ´ µ . § PART D: GRAPHING PIECEWISE-DEFINED FUNCTIONS
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.
Ask a homework question - tutors are online