Question

Write an exponential function y=ab^x for a graph that includes (-3,16) and (-1,4).

Answer 1

You can put in the two points then have two equations that have 'a' and 'b' as unknowns.

Answer 2

\[y=ab^x\]
Using point one (-3,16)
\[16=ab^{-3}\]
Using point two (-1,4)
\[4=ab^{-1}\]
From point one, a=16b^3 and from point two, a=4b. You can set those two equations equal to each other to solve for b, then you can find a.

Answer 3

ok thanks so much