Turning Points of a Polynomial Function

The maximum number of turning points for the graph of a 4th degree polynomial (a quartic) is:

• 4

• 3

• 2

• 0

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The maximum number of turning points for the graph of a cubic polynomial is:

• 3

• 2

• 1

• 0

Where do you find relative minimums and relative maximums?

• zeros
• y-intercepts
• turning points
• by degree

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the relative max?

• y = 36 at x = 0
• y = -6.55 at x= -2.55
• (-∞, ∞)
• None

Tags

CCSS.HSA.REI.D.10

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 points for the graph of this polynomial function?

f(x) = 2x³ - 3x² + 4x -10

• 3

• 2

• 1

• 0

What is the relative min?

• (0, 36)
• (-2.55, -6.55), (2.55, -6.55)
• (-∞, ∞)
• None

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

For the pictured polynomial, which is a relative max?

• (-3, -2)
• (3, 0)
• (2, 0)
• (4, 1)

For the pictured polynomial, which of the following is the absolute max?

• (-3, -2)
• (0, 3)
• (2, 0)
• (4, 1)

For the pictured polynomial, which of the following is the absolute min?

• (-3, -2)
• (3, 0)
• (2, 0)
• (4, 1)

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10