Growth or decay

Question

F(x)=2^x

^{F(x)=100*(0.5)x}

Answer 1

To determine if a function is growth or decay, look at the base, that is, look at the number that has the exponent.

F(x)=2^x

^{F(x)=100*(0.5)^x}

If the base is greater than 1, the function is a growth function. If the base is less than one, the function is a decay function.

Regarding your two examples,

F(x)=2^x

^{F(x)=100*(0.5)^x}

^{2> 1 so}

F(x)=2^x

^{is a growth function}

1/2 (or 0.5) <1 so

^{F(x)=100*(0.5)^x}

^{is a decay function}