Question

10. Which function has the greatest value for x = 3?A. f(x) = 2 . 4xB. f(x) = 4 .22C. f(x) = 4 . x2D. f(x) = 2 x4

Answer 1

We want to find the function that has the greatest value for x = 3

Note that the dot means multiplication

For A.

`\begin{gathered} f\mleft(x\mright)=2*4^x \\ f(3)=2*4^3 \\ =128 \end{gathered}`

For B

`\begin{gathered} f(x)=4*2^x \\ f(3)=4*2^3 \\ =32 \end{gathered}`

For C

`\begin{gathered} f(x)=4* x^2 \\ f(3)=4*3^2 \\ =36 \end{gathered}`

For D

`\begin{gathered} f(x)=2* x^4 \\ f(3)=2*3^4 \\ =162 \end{gathered}`

Hence the from our calculation, we can see that the answer is D. which is 162