Properties of Polynomial Functions

Which of the following is not a polynomial?

• Cubic function

• Quadratic function

• Exponential function

• Linear function

True or false: all polynomials will have at least one x-intercept?

• True

• False

True or false: all polynomials will have a y-intercept?

• True

• False

A CUBIC function can have _______ x-intercepts.

• 0, 1, 2, or 3

• 1, 2 or 3

• 1

• 0, 1, or 2

A QUADRATIC function can have _______ x-intercepts.

• 0, 1, 2, or 3

• 1, 2 or 3

• 1

• 0, 1, or 2

A LINEAR function can have _______ x-intercepts.

• 0, 1, 2, or 3

• 1, 2 or 3

• 1

• 0, 1, or 2

A CONSTANT function can have _______ x-intercepts.

• 0, 1, 2, or 3

• 1, 2 or 3

• 0

• 0, 1, or 2

Check all that apply: quadratics have:

• a minimum or maximum

• a turning point

• D: XER and R: YER

• 0, 1, or 2 y-intercepts

Check all that apply: cubic functions may have:

• a minimum or maximum

• opposite end behavior as x approaches positive and negative infinity

• D: XER and R: YER

• 1, 2 or 3 x-intercepts

Check all that apply: linear functions may have:

• a minimum or maximum

• opposite end behavior as x approaches positive and negative infinity

• D: XER and R: YER

• one or more turning points