Investigate the change in the graph of a sinusoidal function of the form and=\sin x or and=\cos x when multiplied by a polynomial function. Use a graphing calculator to sketch the graphs of and=x^{2},and=−x^{2} and and=x^{2} \sin x on the same coordinate plane.

Investigate the change in the graph of a sinusoidal function of the form $$\displaystyle{\quad\text{and}\quad}={\sin{{x}}}$$ or $$\displaystyle{\quad\text{and}\quad}={\cos{{x}}}$$ when multiplied by a polynomial function. Use a graphing calculator to sketch the graphs of $$\displaystyle{\quad\text{and}\quad}={x}^{{{2}}},{\quad\text{and}\quad}=−{x}^{{{2}}}$$ and $$\displaystyle{\quad\text{and}\quad}={x}^{{{2}}}{\sin{{x}}}$$ on the same coordinate plane, on the interval [-20, 20].

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