Chapter 3, Problem 2PS

To determine

Graph the each function using graphing utility.

Answer to Problem 2PS

The function $y=e^x$ increases at the greatest rate as $x$ approaches $+\infty$ .

Explanation of Solution

Given:

The given functionsare $y_1=e^x,y_2=x^2,y_3=x^3,y_4=\sqrt{x}\text{and}y=\left|x\right|$ .

Calculation:

The graph of each function using graphing utility is given below.

For $y_1=e^x$ .

  

For $y_2=x^2$ .

  

For $y_3=x^3$ .

  

For $y_4=\sqrt{x}$ .

  

For $y=\left|x\right|$ .

  

From the above graph, the function $y=e^x$ increases at the greatest rate as $x$ approaches $+\infty$ .