Polynomial Function End Behavior

• up, up

• down, down

• up, down

• down, up

• up, up

• down, down

• up, down

• down, up

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

What is true about the graph above?

• the degree of the polynomial is even

• the degree of the polynomial is odd

• there is not enough information to answer this question

What is true about the graph above?

• the degree of the polynomial is even

• the decree of the polynomial is odd

• there is not enough information to answer this question

Which equation could be graphed here?

• f(x) = 13 - x⁴

• f(x) = 2x³ + 2x² + 10

• f(x) = -6x⁶ - x⁵ + 3x² + 11

• f(x) = 6x⁴ +3x³ - 2x + 14

Tags

CCSS.HSA.APR.B.3

Based on the end behavior of the polynomial, what is the degree of the polynomial?

• a negative real number

• a positive real number

• an odd real number

• an even real number

What is the end behavior as x → -∞ f(x)→ ?

• -∞

• ∞

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

Determine the end behavior of the polynomial by identifying the degree and leading coefficient.

f(x) = 5x⁴ - x + 6

• UP-UP

• UP-DOWN

• DOWN-UP

• DOWN-DOWN