Chapter 3.1, Problem 6AYU

To determine

True or false. The graph of the function $f\left(x\right)=x^2$ is increasing on the interval $\left(0,\infty \right)$ .

Answer to Problem 6AYU

The statement is true.

Explanation of Solution

Given:

  $f\left(x\right)=x^2$ and interval $\left(0,\infty \right)$ .

The graph of the function $f\left(x\right)=x^2$ is increasing on the interval $\left(0,\infty \right)$ and decreasing on the interval $\left(0,\infty \right)$ .

Conclusion:

Hence,the statement is true.