Let's analyze the graph and identify the key points:

Turning Points

Turning points are where the graph changes direction (local maxima and minima):

• A: $(-1.569, -3.124)$ (local minimum)
• B: $(0.319, 8.643)$ (local maximum)
• E: $(-1, 0)$ (local maximum, but also a zero, hence it is a turning point too)

Zeros

Zeros are the points where the graph crosses the x-axis:

• D: $(-2, 0)$
• E: $(-1, 0)$
• C: $(2, 0)$

X-intercepts

X-intercepts are the same as zeros (since they are where the graph crosses the x-axis):

• D: $(-2, 0)$
• E: $(-1, 0)$
• C: $(2, 0)$

Would you like further details or have any questions?

Here are 5 questions you might want to ask:

1. How do you find turning points of a polynomial function?
2. What is the significance of local maxima and minima in a graph?
3. How do you determine the zeros of a polynomial function?
4. Can you explain the difference between x-intercepts and y-intercepts?
5. What are the steps to find the derivative of a polynomial function?

Tip: When analyzing graphs, always check for turning points and intercepts as they provide critical information about the function's behavior.