Question

For the following graph, determine if the graph represents a polynomial function. If it is a polynomial function, then determine the number of turning points and the least degree possible.


a.Yes, this graph represents a polynomial. There are two turning points and the least degree possible is three.

b.This is not a polynomial. There are no turning points as the curve represents an odd function.

c.Yes, this graph represents a polynomial. There are two turning points and the least degree possible is two.

d.This is not a polynomial. There are no turning points as the curve is always increasing.

Answer 1

Using function concepts, it is found that the correct option is given by:

a.Yes, this graph represents a polynomial. There are two turning points and the least degree possible is three.

What is the least degree possible of a polynomial?

Supposing a polynomial with n turning points, the least possible degree is of n + 1.

In this problem, the polynomial has 2 turning points, hence the least possible degree is of 3 and option a is correct.

More can be learned about functions at https://brainly.com/question/25537936

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