Question

Sketch the graph of y=x^2 cos⁡(x). (Hint: (2π)^2≈39.5)

Answer 1

Answer on Question #73839 – Math – Trigonometry

**Given:** $y = x^{2}\cos (x)$

**To Find:** Find the graph of $y = x^{2}\cos(x)$

**Solution:** The given function is $y = x^{2}\cos(x)$

$$\because y(-x) = (-x)^{2}\cos(-x)$$ $$\Rightarrow y(-x) = x^{2}\cos x = y(x)$$

$\therefore$ The given function is an even function and symmetric about y-axis.

Now draw the graph for the values of positive x and take a reflection about y-axis.

Answer provided by https://www.AssignmentExpert.com