Question

Select the correct answer.Consider the functions f and g in the tables below.Which of the following statements is true?

Answer 1

`\begin{gathered} f(x)=90x^2+180x+92 \\ g(x)=6^x \end{gathered}`

A. This is false since g(x) is a exponential function, therefore its growth rate is much greater.

B.

`\begin{gathered} f(4.39)=2616.689 \\ g(4.39)=2606.657609 \end{gathered}`

The rate of change for both is:

`\begin{gathered} f(4.39)-f(4)=2616.819-2252=364.819 \\ g(4.39)-g(4)=2606.657609-1296=1310.6576 \\ \end{gathered}`

They are very different, so this is false.

C. This is true, since g(x) is a exponential function it will surpass f(x) at some point.

D. This is false, the rate of change of g(x) is smaller for the first values of x.