Domain and Range - AP Calculus - Lecture Notes, Study notes of Calculus

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Calculus Section P3 Learning Targets... 1. Find domain & range of a function 2. Find composite functions 3. Determine whether a function is even, odd, or neither Notes LT: Find domain & range of a function ¢ Domain: All the x-values that “work” for a function o Exclude values that don’t work... = Values that make the denominator 0 = Values that make the inside of a square root negative o Domain ofa polynomial is all real #’s e Range: All y-values for the function o Evaluate the function at or near “interesting” x- values... . per = Near vertical asymptotes = At/near the “boundaries” of piecewise functions o Check using graphing calculator Examples 9 poy =5 Ia) =— ee eine een WV See 40 €-990,°9)} w= yatO YPte ~ eo yer rs-xt <0 2) f(x) = 25 — x2 Yees K-FV 5K De: §x:xets.s3$ nN w= § 6) fd [0833 > b= {x yy € (-00,0)U (od b= Sux € (- 0050) u(o, 09) Re §€G9: FG) = Hts} pune 1/2