Properties of Polynomial Functions

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 cubic function with a positive leading coefficient will have points ranging (mostly) from...

• Q2 to Q4

• Q2 to Q1

• Q3 to Q1

• Q2 to Q4

Determine if the statement is always, sometimes, or never true. If two different polynomials are subtracted, then the result will be a polynomial.

• Always

• Sometimes

• Never

• Has a degree of 4

• Has a degree of 3

• The graph is tangent to the x-axis at x = -1

• The graph crosses the x-axis at x=4

• The leading coefficient is 4

• Zeros: {-6,2}

• x-intercepts: (-2,0) (6,0)

• Domain: (-6,0) (2,0)

Which of the following statements about closure is NOT true?

• Polynomials are closed under addition.

• Polynomials are closed under subtraction.

• Polynomials are closed under multiplication.

• Polynomials are closed under division.

• Has a degree of 4

• Has a degree of 3

• The graph is tangent to the x-axis at x = -1

• The graph crosses the x-axis at x=4

• The graph crosses the x-axis at x=0

Determine if the statement is always, sometimes, or never true. If two different polynomials are subtracted, then the result will be a polynomial.

• Always

• Sometimes

• Never