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.

texelaare 2021-08-02 Answered
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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Expert Answer

Daphne Broadhurst
Answered 2021-08-03 Author has 5730 answers
Here is the graph:

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