Question

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

Answer 1

Answer:

$y=2(3)^x$

Step-by-step explanation:

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