Sketch the graph of a function f(x) defined for all x € R that satisfies all of the following properties given by (a)-(h) below. (a) lim f(x) = 2, x118 (b) f(-3) = 2, (c) lim f(x) does not exist due to jump discontinuity, x-3 (d) ƒ'(0) < ƒ(1)—ƒ(-1) 1-(-1) (e) f(2) = 2, (f) f(x) has a vertical asymptote at x = 2, (g) f(x) is continuous for x > 2, (h) lim f(x) does not exist. x →∞

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