Brief Calculus.

Question

Sketch one function that has all of the following characteristics:

f(-3) = 2

f(0) = -2

f(2) does not exist

lim x→-3^- f(x) = 5

lim x→-3⁺ f(x) = 2

lim _x→0 f(x) = -2

lim _x→2 f(x) = 3

lim _{x→ - oo} f(x) = oo

lim _{x→ oo} f(x) = - oo

Answer 1

Perhaps something like this would work: