The graph of y = 5x^6 - 3x^4 + 2x - 9 has at most how many turning points?

Following are the calculation to the turning points:

Given graph:

To find:

turning point=?

Solution:

Number of degrees=6

Therefore,

Number of turning points= degrees-1

Therefore, the answer is "5".

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5

Step-by-step explanation:

The polynomial given is:

What is the degree of the polynomial?

The degree is the "highest" power of x in the polynomial.

6th power of x

4th power of x

1st power of x

All in the polynomial.

But the HIGHEST degree is 6th, so we call this a 6th order, or 6th degree polynomial.

Now,

Turning Point is the point on the graph where graph changes from increasing to decreasing or decreasing to increasing.

The general rule is that the max number of turning points of a polynomial is "1 less than the degree of the polynomial".

This is a 6th degree polynomial, so AT MOST there can be 5 turning points of the graph.

See Explanation

Step-by-step explanation:

The question is incomplete as the required graph is not attached. The general explanation is as follows:

To calculate the slope of a line, we select two points on the line.

Assume, the points are:

The slope will be:

For each of the options, the slope is calculated from the following representation

Where

slope i.e. the coefficient of c

By comparison, we have:

So: (C) and (D) have the same coefficients as the assumed function