Polynomial Functions Matching

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

Give the equation of the 4th degree polynomial with zeros: 1 with multiplicity 2 and i. 

• x² - 4x + 4

• x³ - 4x² + 4x +ix² -4ix + 4i

• x⁴ - 4x³ + 5x²-4x + 4

• x⁴ - 4x³ + 5x²-4x + 4i

Tags

CCSS.HSA.APR.B.3

Factor  4v² − 4v − 8 

• 4(v + 1)(v − 2) 

• (v− 10)(v − 5) 

• 4(v-1)(v-2)

• None of the Above

What is the relative min?

• (0, 36)

• (-2.55, -6.55), (2.55, -6.55)

• (-∞, ∞)

• None

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.

State the minimum degree of the function shown:

• 3

• 4

• 5

• 6

Which of the following functions contain line symmetry?

• g(x) = 3x³ + 2x²

• g(x) = 5x⁴ + 3x³ + 4x²

• g(x) = 3x⁶

• g(x) = 18x³

Tags

CCSS.HSF.BF.B.3

Which of the following functions could represent the graph shown?

• f(x) = -2x⁵

• f(x) = -2x⁴ + 7x³ + 3x² -5x + 8

• f(x) = 2x⁵ + 3x⁴ - 3x³ + 5x² - 3x + 4

• None of these functions could represent the graph shown.

Tags

CCSS.HSA.APR.B.3

The function f(x) = -5x⁴ + 3x² - 3x + 5

• Extends from quadrant 2 to quadrant 1.

• Extends from quadrant 2 to quadrant 4.

• Extends from quadrant 3 to quadrant 1.

• Extends from quadrant 3 to quadrant 4.

The function shown contains:

• Only one local maximum.

• Two local maximums.

• Two local minimums.

• Three local maximums