Question

B. Function h will begin to exceed f and g around x = [. (Round up to the nearest whole number.)

Answer 1

If we evaluate x = 10 on all the functions, we have:

`\begin{gathered} h(10)=1.31^(10)=14.88 \\ f(10)=1.25(10)=12.5 \\ g(10)=0.1562(10)^2=15.625 \end{gathered}`

and then, evaluating x = 11, we get:

`\begin{gathered} h(11)=1.13^(11)=19.49 \\ f(11)=1.25(11)=13.75 \\ g(11)=0.15625(11)^2=18.9 \end{gathered}`

notice that on x = 10, h(x) does not exceed g(x), but on x = 11, h(x) exceeds the other functions. Therefore, h will begin exceed f and g around 11