Given: A rodent population increases each year according to the function f(x)=7•2^x.
Find: Identify the initial value and describe the growth of the rodent population.
Explanation: for initial value x=0
[tex]\begin{gathered} f(x)=7\times2^x \\ x=0 \\ f(x)=7 \end{gathered}[/tex]
and the growth of the rodent population is
[tex]2^x[/tex]
that means it will be double every every year
Final answer: the population starts at 7 and doubles every year.
