Questions: Question 6, 4.2.9 Pat 1 of 4 HW Score: 80.75%, 2261 of 28 points Points: 0 of 1 Use the graph of the polynomial function f shown to the right to complete the following. Let a be the leading coefficient of the polynomial f(x) (a) Determine the number of turning points and estimate any x-intercepts. (b) State whether a > 0 or a < 0 (c) Determine the minimum degree of f (a) How many turning points does the graph have? (Type a whole number)

Question 6, 4.2.9 Pat 1 of 4 HW Score: 80.75%, 2261 of 28 points Points: 0 of 1 Use the graph of the polynomial function f shown to the right to complete the following. Let a be the leading coefficient of the polynomial f(x) (a) Determine the number of turning points and estimate any x-intercepts. (b) State whether a > 0 or a < 0 (c) Determine the minimum degree of f (a) How many turning points does the graph have? (Type a whole number)
Transcript text: Question 6, 4.2.9 Pat 1 of 4 HW Score: $80.75 \%, 2261$ of 28 points Points: 0 of 1 Use the graph of the polynomial function f shown to the right to complete the following Let a be the leading coefficient of the polynomial f(x) (a) Determine the number of turning points and estimate any x -intercepts. (b) State whether a $>0$ or $a<0$ (c) Determine the minimum degree off (a) How many turning points does the graph have? $\square$ (Type a whole number)
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Solution

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Solution Steps

Step 1: Identifying Turning Points

A turning point is where the graph changes from increasing to decreasing or vice versa. The graph changes from decreasing to increasing at approximately x = -2. It then changes from increasing to decreasing at approximately x = 0. Lastly, it changes from decreasing to increasing at approximately x = 2.

Step 2: Counting Turning Points

Based on the previous step, there are three turning points.

Step 3: Estimating x-intercepts

The graph appears to cross the x-axis at approximately x = -3, x = 0, and x = 3. These are the estimated x-intercepts.

Final Answer:

The graph has three turning points. The estimated x-intercepts are -3, 0, and 3.

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