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 =2x, and =-2x, and=2x cos x on the same coordinate plane, on the interval [-20, 20].

Question
Polynomial graphs
asked 2021-02-22
Investigate the change in the graph of a sinusoidal function of the form \(\displaystyle{\quad\text{and}\quad}={\sin{{x}}}{\quad\text{or}\quad}{\quad\text{and}\quad}={\cos{{x}}}\) when multiplied by a polynomial function. Use a graphing calculator to sketch the graphs of and \(\displaystyle={2}{x},{\quad\text{and}\quad}=-{2}{x},{\quad\text{and}\quad}={2}{x}{\cos{{x}}}\) on the same coordinate plane, on the interval \(\displaystyle{\left[-{20},{20}\right]}.\)

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2021-02-23
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