Question

Check all the statement(s) that are true about the polynomial function graphed.

1. Its leading coefficient is positive.

2. Its leading coefficient is negative.

3. It has an odd degree.

4. It has an even degree.

5. It has exactly two real zeroes.

6. It has exactly three real zeroes.

7. None of the zeroes have even multiplicity.

8. None of the zeroes have odd multiplicity.

Answer 1

The answer for ed is 2,3,6,7

Explanation:

Answer 2

The true statements are:

2 - we can tell this by looking at the far right of the graph, as the slope is going downwards, therefore the leading coefficient must be negative

3 - this is a cubic, meaning its degree is 3

6 - by looking at the graph, we can see that there are 3 points where it cuts the x axis, hence 3 real zeros

7 - even multiplicity is where the curve "bounces off" the x axis and does not cross it. This curve have no zeros with even multiplicity

Hope this helped!