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13 Nov 2019
12. 710 points | Previous Answers SCalcET8 4.5AE.006. 1/5 Submissions Used My Notes Ask Your Teach x3 EXAMPLE 6 Sketch the graph ofæx) . (A) The domain is R = (-oo, oo) (B) The x and y-intercepts are both 0 (C) Since f-x) x), fis odd (D) Since x2 + 2 is never 0, there is no vertical asymptote. Since f(x) â â as x â oo and f(x) â-00 as and its graph is symmetric about the origin. Video Example 0, there is no horizontal asymptote. But long division gives x â So l need the nx) = x2 + 2 as x â ±00 1 2/x2 So the line y = is a slant asymptote 3x2(x2 + 2 )-yR 2x - x2(x2 + 6) (x2+ 2)2 (E) f(x)- (x2 + 2)2 Since fx) 0 for all x (except O), fis increasing on (-o, c) f(x) does not change sign at o, so there is no local maximum or (F) Although f'(0) =10- minimum ,
12. 710 points | Previous Answers SCalcET8 4.5AE.006. 1/5 Submissions Used My Notes Ask Your Teach x3 EXAMPLE 6 Sketch the graph ofæx) . (A) The domain is R = (-oo, oo) (B) The x and y-intercepts are both 0 (C) Since f-x) x), fis odd (D) Since x2 + 2 is never 0, there is no vertical asymptote. Since f(x) â â as x â oo and f(x) â-00 as and its graph is symmetric about the origin. Video Example 0, there is no horizontal asymptote. But long division gives x â So l need the nx) = x2 + 2 as x â ±00 1 2/x2 So the line y = is a slant asymptote 3x2(x2 + 2 )-yR 2x - x2(x2 + 6) (x2+ 2)2 (E) f(x)- (x2 + 2)2 Since fx) 0 for all x (except O), fis increasing on (-o, c) f(x) does not change sign at o, so there is no local maximum or (F) Although f'(0) =10- minimum ,
Casey DurganLv2
6 Jan 2019