Polynomial Max/Min

What is the relative max of this function?

• x = 5

• infinity

• there is no relative maximum

• 2.5 and it occurs at x = 5

Where do you find relative minimums and relative maximums?

• zeros

• y-intercepts

• turning points

• by degree

How many extrema (maxes and mins) are in the picture?

• 2

• 3

• 4

• 5

Which of the following statement are false.

• There is a relative min at the point (8,0)

• There is another relative min at the point (0,-7.5)

• There is a relative max at the point (5,2.5)

• There are more relative maximums than there are relative minimums.

Fill in the blank:  The maximum number of turning points is ____ less than the degree of the polynomial.

• 0

• 1

• 2

• 3

What is the maximum number of turning for the function f(x) = 8x³-27

• 0

• 1

• 2

• 3

What is the maximum number of turning points for the function?
f(x) = -x⁵ - 4x +2

• 1

• 2

• 3

• 4

Fill in the blank:  The maximum number of real zeros is equal to the ____________ of the polynomial.

• degree

• number of terms

• turning points

Which of the following statement is FALSE?

• There is a relative min at the point (8,0)

• There is another relative min at the point (0,-7.5)

• There is a relative max at the point (5,2.5)

• There are more relative maximums than there are relative minimums.

The function is decreasing when...

• (-1.5, 1.5)

• (-∞, -1.5)

• (1.5, ∞)

• (-1.5, 2)