Chapter 7.6, Problem 47PPE

To determine

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

Answer to Problem 47PPE

The function $y=100x^2$ has greater value for the given value of x

Explanation of Solution

Given information: The given functions are $y=2^x$ and $y=100x^2$

We have the given functions are $y=2^x$ and $y=100x^2$

In the function, $y=2^x$ for x=10

  $\begin{array}{c}y=2^x\\ =2^{10}\\ =1024\end{array}$

In the function, $y=100x^2$ for x=10

  $\begin{array}{c}y=100x^2\\ =100\times {\left(10\right)}^2\\ =100\times 100\\ =10000\end{array}$

Here, we can see that the function $y=100x^2$ has greater value for the given value of x