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13 Nov 2019
Sketch the graph of a function f with the following properties:
(i) f(-3) = 0, f(-1) = 3;
(ii) Asymptotes: x = 2, and y = -1;
(iii) f '(3) does not exist, f(3) = 2;
(iv) f '(x) > 0 for x < -1 and 2 < x < 3, f '(x) < 0 for -1 < x < 2 and x >3;
(v) f ''(x) > 0 for x < -3 and x > 3, f ''(x) < 0 for -3 < x < 3.
Sketch the graph of a function f with the following properties:
(i) f(-3) = 0, f(-1) = 3;
(ii) Asymptotes: x = 2, and y = -1;
(iii) f '(3) does not exist, f(3) = 2;
(iv) f '(x) > 0 for x < -1 and 2 < x < 3, f '(x) < 0 for -1 < x < 2 and x >3;
(v) f ''(x) > 0 for x < -3 and x > 3, f ''(x) < 0 for -3 < x < 3.
Elin HesselLv2
22 Oct 2019
