Question

Which of the following options results in a graph that shows exponential growth. F(x) = 0.4(3)^x. F(x) = 3(0.5)^x. F(x) = 0.8(0.9)^x. F(x) = 0.9(5)^-x

Answer 1

A

Explanation:

Answer 2

`f(x)=a^x\\\\if\ a \ \textgreater \ 1\ then\ a\ function\ is\ an\ exponential\ growth\ function`


`f(x)=0.4(3)^x\to a=3 > 1\ OK!\\f(x)=3(0.5)^x\to a=0.5 < 1 :(\\f(x)=0.8(0.9)^x\to a=0.9 < 1 :(\\f(x)=0.9(5)^(-x)=0.9\left((1)/(5)\right)^x\to a=(1)/(5) < 1\ :(`

Answer:
`f(x)=0.4(3)^x`