Question

Find a formula for the exponential function passing through the points (-2, 4/9) and (3,108)

Answer 1

F(x)= 4^3 this is because when following the delta method then plugging it into an equation this would be the answer

Answer 2

`f(x)=4(3)^x`

Explanation:

Let
`f(x)=ab^x`.

Then,

`ab^(-2)=(4)/(9) \\ \\ ab^3=108 \\ \\ (ab^3)/(ab^(-2))=(108)/(4/9) \implies b^5=243 \implies b=3 \\ \\ \therefore a(3)^3=108 \\ \\ a=4 \\ \\ \therefore f(x)=4(3)^x`