Question 52371
Since the {{{y}}} values only approach zero and increase/decrease on an exponential level, you have a exponential function.
P(0,1) and P(2,4)
y = a(b^x)
1 = a(b^0)
1 = a
plug:
y = 1(b^x)
4 = b^2
2 = b
plug:
y = 2^x
Domain: { x | all reals }
Range: { y | {{{y > 0}}} }
{{{graph(300,300,-10,10,-10,10,2^x)}}}