Polynomial Functions Vocabulary Review

The function shown contains:

• Only one local maximum.

• Two local maximums.

• Two local minimums.

• Three local maximums

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.

The polynomial is...

• Odd degree, positive leading coefficient.

• Odd degree, negative leading coefficient.

• Even degree, positive leading coefficient.

• Even degree, negative leading coefficient.

Identify the zeros:

• x=2, x=6, x=-4

• (x+2)(x+6)(x-4)

• (x-2)(x-6)(x+4)

• x=-2, x=-6, x=4

True or False:  If (7x + 4) is a factor of some polynomial function f, then 4/7  is a zero of the function. 

• True

• False

See question above.

• A

• B

• C

• D

• E

What is the degree of f(x)?

• 3

• 2

• 1

• 0

f(x) = 2x³ - 3x² + 4x -10 State the maximum and minimum number of zeros for f(x).

• Max: 3 Min: 0

• Max 2 Min: 0

• Max: 1 Min: 1

• Max: 3 Min: 1

What is the degree of f(x)?

• 3

• 1

• 4

• 2

f(x) = -3x⁴ + x³ - 2x² + x - 1 State the maximum number of turns the graph of f(x) could make.

• 3

• 4

• 2

• 1