Question

How do you find the exponential function formula for the points h(0) = 3 and h(1) = 15?

Answer 1

`h(x)=3*5^x, x in RR`.

Explanation:

Suppose that, `h(x)=a*b^x; a in RR, b in RR-{0}`.

`h(0)=3 rArr a*b^0=3 rArr a=3`.

`h(1)=15 rArr a*b^1=15 rArr 3*b=15 rArr b=5`.

`:. h(x)=a*b^x=3*5^x, x in RR`.