Polynomial Functions Degree and Leading Coefficients

How do you describe the behavior of the graph if the degree is even and the leading coefficient is negative?

• The graph rises on both sides.

• The graph falls on both sides.

• The graph falls to the left and rises to the right.

• The graph rises to the left and falls to the right.

What is the degree of f(x)?

• 3

• 2

• 1

• 0

Describe the type of polynomial shown.

• Even degree, negative leading coefficient

• Even Function

• Odd degree, negative leading coefficient

• Even degree, positive leading coefficient

Which equation MOST LIKELY matches the graph?

• y = x⁴ - x³ + 3x² + 2

• y = -x⁴ + x³ + 5x + 2

• y = x³ - 2x² + 1x + 3

• y = -x³ - 2x² + 1x + 3

Pick all statements that apply to this polynomial.

• It is an odd degree function.

• It is an even degree function.

• It has a positive leading coefficient.

• It has a negative leading coefficient.

• It has 3 real roots.

Based on the end behavior which option best describes the leading term?

• negative coefficient, even degree

• negative coefficient, odd degree

• negative degree, odd coefficient

• negative degree, even coefficient

This graph is a(n)...

• Third degree polynomial

• Sixth degree polynomial

• Even function

• Fifth degree polynomial

What determines the end behavior of the polynomial function?

• Horizontal line test

• Leading coefficients test

• Multiplicity test

• Vertical line test

What are the x-intercepts of the graph of y = (x - 3)(x + 1)(x - 1)?

• 3, -1, 1

• -3, 1, 1

• 3, 1, -1

• -3, -1, -1

Determine the number of turning points of the graph of P(x) = (x - 3)(x + 1)(x - 1)?

• 1

• 4

• 2

• 3