Answer
See graph and explanations.
Work Step by Step
Step 1. The zeros can be found as $x=0$ with multiplicity 1 (graph crosses the x-axis), $x=2$ with multiplicity 3 (graph crosses the x-axis), and $x=-2$ with multiplicity 2 (graph touches the x-axis and turns around),
Step 2. The leading term is $x^6$ and the end behavior is rising to the left and rising to the right.
Step 3. The y-intercept is $f(0)=0$
Step 4. Use test points as necessary, we can graph the function as shown in the figure.
