Graphing Polynomial Functions

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.

Which of the following could be a possible equation for the function shown?

• f(x) =-2x³ + x² - 5x + 1

• f(x) = 2x³ - 4x² + x + 1

• f(x) = 3x² + 5x + 1

• f(x) = -2x³ +3x - 1

State the minimum possible degree of the function shown:

• 3

• 4

• 5

• 7

Classify by degree of polynomial:
3x² – 8x + 1

• Constant
• Linear
• Quadratic
• Cubic

What are the zeros of the polynomial y = 3x(x + 4)(x + 1)(x - 3)?

• -4, -1, 0, 3

• 3, -3, 4, 1
• 4, 1, -3
• 3, -4, -1, 3

What is another way to say "where a function crosses the x-axis"?

• x-intercept
• zero
• root
• all of these.

Classify the polynomial by degree.

• quartic
• quintic
• 6th degree polynomial 
• 7th degree polynomial

A quartic polynomial function may have no x-intercepts.

• True
• False

What is the y - intercept of the function 𝑦 = 𝑥³ – 4𝑥² + 𝑥 + 6

• 12

• 10

• 6

• 4

Which functions have a negative leading coefficient? (You may choose more than one)

• A

• B

• C

• D