Even/Odd Polynomial Functions

State the minimum degree of the function shown:

• 3

• 4

• 5

• 6

Is the polynomial function even, odd, or neither? (Hint: use f(-x) )

f(x)=x³+1

• neither

• odd

• even

Select all the graphs which show even degree functions.

• 
• 
• 
• 

Which of the following functions could represent the graph shown?

• f(x) = -2x⁵

• f(x) = -2x⁴ + 7x³ + 3x² -5x + 8

• f(x) = 2x⁵ + 3x⁴ - 3x³ + 5x² - 3x + 4

• None of these functions could represent the graph shown.

Tags

CCSS.HSA.APR.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The function shown contains:

• Only one local maximum.

• Two local maximums.

• Two local minimums.

• Three local maximums

Tags

CCSS.HSA.APR.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

How many roots or zeros does the equation

f(x) = 5x⁴ - 8x³ + 4x² - 6x + 3 have?

• 3

• 4

• 5

• 0

Based on the end behavior of the polynomial, what is the degree of the polynomial?

• a negative number

• a positive number

• an odd number

• an even number

The degree of the polynomial determines the number of roots.

• True
• False

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

The function shown has:

• Degree two with negative leading coefficient.

• Degree three with negative leading coefficient.

• Degree four with negative leading coefficient.

• Degree four with positive leading coefficient.

What is the relative min?

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

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11