Answer to Question #77619 in Calculus for Esma Sherwani

Question

b. Sketch the graph of a single function f that satisfies all of the following conditions:
i) lim f(x)=-2 as x approaches neg infinity
ii) lim f(x) = 0 as x approaches infinity
iii) lim f(x) = infinity as x approaches -3 from the right
iv) lim f(x)= neg infinity as x approaches -3 from the left
v) lim f(X) = -2 as x approaches 3 from the right
vi) f is continuous from the right at 3