Let $f(x) = x \sqrt{x+3}.$ Answer the following questions.
1. Find the average slope of the function $f$ on the interval $[-3,0].$
Average Slope: $\overline{m} =$

2. Verify the Mean Value Theorem by finding a number $c$ in $(-3,0)$ such that $f'(c) = \overline{m}.$
Answer: $c =$

In order to get credit for this problem all answers must be correct.