# 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].

Investigate the change in the graph of a sinusoidal function of the form $\phantom{\rule{1em}{0ex}}\text{and}\phantom{\rule{1em}{0ex}}=\mathrm{sin}x\phantom{\rule{1em}{0ex}}\text{or}\phantom{\rule{1em}{0ex}}\phantom{\rule{1em}{0ex}}\text{and}\phantom{\rule{1em}{0ex}}=\mathrm{cos}x$ when multiplied by a polynomial function. Use a graphing calculator to sketch the graphs of and $=2x,\phantom{\rule{1em}{0ex}}\text{and}\phantom{\rule{1em}{0ex}}=-2x,\phantom{\rule{1em}{0ex}}\text{and}\phantom{\rule{1em}{0ex}}=2x\mathrm{cos}x$ on the same coordinate plane, on the interval $\left[-20,20\right].$
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