Properties of Polynomial Functions

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

What are the zeros of the polynomial?

• X=5, x=-3(multiplicity of 2)

• x=-3, x=5(multiplicity of 2)

• x=3, x=-5

• x=5

How many relative extrema(tuning points) are in the picture?

• 2

• 3

• 4

• 5

What is the predicted end behavior of: y=-2x⁴+3x-1

• up on both ends

• down on both ends

• up on left, down on right

• down on left, up on right

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

• x-intercept

• zero

• root

• all of these.

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

Decreasing Interval(s): (Choose all that apply)

What type of function is:

f(x) = 6x² + 4 - 3x⁴ + 5x - 9x³

• linear

• quadratic

• cubic

• quartic

Which function has this end behavior?

• -1x⁴-3x³+3

• -2x⁷+2x⁴+4

• 3x⁸+3x⁵-4x+7

• 4x⁵-4x⁴+2x³-9

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

• 3

• 4

• 2

• 1