Question

2

Find a formula for the exponential function passing through the points (-2,) and (3,54)
9
y =

Answer 1

`y=2(3)^x`

Explanation:

`y=ab^x \\ \\ (2)/(9)=ab^(-2) \\ \\ 54=ab^3 \\ \\ \implies (ab^3)/(ab^(-2))=b^5=(54)/(2/9)=243 \\ \\ b=3 \\ \\ a(3)^3=54 \implies a=2 \\ \\ \therefore y=2(3)^x`