PreCalc
posted by MUFFY .
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?

I could draw all kinds of curves with those conditions.
e.g. you state no properties at all for x < 4