Answer the following questions for the function $$f(x) = \sin^2 \left( \frac{x}{3} \right)$$ defined on the interval $[-8.82, 2.16]$.

Remember that you can enter pi for $\pi$ as part of your answer.

a.) $f(x)$ is concave down on the region(s)

b.) A global minimum for this function occurs at $x=$

c.) A local maximum for this function which is not a global maximum occurs at $x=$

d.) The function is increasing on the region(s)

Note: Help with interval notation where answers require intervals.