Chapter 8.5, Problem 62AYU

To determine

To plot: The graph of the equations $y=x\sin x$ , $y=x^2\sin x$ and $y=x^3\sin x$ , and observe the pattern.

Answer to Problem 62AYU

The graph of all the equations is periodic but as the power of $x$ increases, the amplitude increases.

Explanation of Solution

Given:

The equations are $y=x\sin x$ , $y=x^2\sin x$ and $y=x^3\sin x$ .

Calculation:

Plot the graph of the equation $y=x\sin x$ .

  

Plot the graph of the equation $y=x^2\sin x$ .

  

Plot the graph of the equation $y=x^3\sin x$ .

  

The graph of all the equations is periodic but as the power of $x$ increases, the amplitude is increasing.