Chapter 7.6, Problem 45PPE

To determine

To identify: identify the function has the greater value for the given value of x.

Answer to Problem 45PPE

The function $f\left(x\right)=200x^2$ has greater value for the given value of x

Explanation of Solution

Given information: The given functions are $f\left(x\right)=10\times 2^x$ and $f\left(x\right)=200x^2$

We have the given functions are $f\left(x\right)=10\times 2^x$ and $f\left(x\right)=200x^2$

In the function, $f\left(x\right)=10\times 2^x$ for x=7

  $\begin{array}{c}f\left(x\right)=10\times 2^x\\ =10\times 2^7\\ =10\times 128\\ =1280\end{array}$

In the function, $f\left(x\right)=200x^2$ for x=7

  $\begin{array}{c}f\left(x\right)=200x^2\\ =200\times 7^2\\ =200\times 49\\ =9800\end{array}$

Here, we can see that the function $f\left(x\right)=200x^2$ has greater value for the given value of x