(Section 1.5: Piecewise-Defined Functions; Limits and Continuity in Calculus) 1.5.3 PART C: EVALUATING PIECEWISE-DEFINED FUNCTIONSExample 1 (Evaluating a Piecewise-Defined Function)Let the functionfbe defined by: fx()=x2,±2²x<1x+1,1²x²2³´µ• To evaluate f±1, we use the toprule, since ±2²±1<1. f±1=±12=1• To evaluate f1, we use the bottomrule, since 1±1±2. f1=1+1=2• f10, for example, is undefined, because we have no rule for x=10. 10 is notin the domainoff, which is ±2, 2²³´µ. §PART D: GRAPHING PIECEWISE-DEFINED FUNCTIONS
This is the end of the preview. Sign up
access the rest of the document.