The exponential function y=ab^x for the graph passing through points (2,24) and (3,48) will be calculated as follows:
Given that the two points are consecutive:
Then:
growth factor b=48/24=2
hence:
y=a(2)^x
thus using (2,24) to evaluate for initial value a that occurred at x=0, we shall have:
24=a(2)^2
4a=24
a=6
hence the formula:
y=6(2)^x
