Question

Use the following conditions to create a sketch of the function by hand.

a. f(x) is increasing from
(-infinity,-4)union(-4, infinity)
b. there is a vertical asymptote at x=-4
c. There is a horizontal asymptote at y=2
d. f(0)=-5; f(1)=-3; f(3)=1

I have an idea of what this graph should look like, I know there should be two curved lines (I think it might be called exponential). Can you please help?

Answer 1

I could draw all kinds of curves with those conditions.

e.g. you state no properties at all for x < -4