End and Root Behavior of Polynomials

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What is a possible degree of the graphed polynomial?

• 2

• 3

• 4

• 6

What is the degree of the graphed polynomial?

• 1

• 3

• 4

• 5

What is the end behavior of a second degree polynomial with a positive leading coefficient?

• As x gets larger and larger in the positive direction, f(x) gets more positive. As x gets larger and larger in the negative direction, f(x) gets more positive.

• As x gets larger and larger in the negative direction, f(x) gets more negative. As x gets larger and larger in the negative direction, f(x) gets more positive.

• As x gets larger and larger in the positive direction, f(x) gets more negative. As x gets larger and larger in the negative direction, f(x) gets more positive.

• As x gets larger and larger in the positive direction, f(x) gets more positive. As x gets larger and larger in the negative direction, f(x) gets more negative.

What is the end behavior of a fourth degree polynomial with a negative leading coefficient?

• up, up
• down, down
• down, up
• up, down

What is the end behavior of a fifth degree polynomial with a negative leading coefficient?

• up, up
• down, down
• down, up
• up, down

What is the end behavior of a third degree polynomial with a positive leading coefficient?

• As x gets larger and larger in the positive direction, f(x) gets more positive. As x gets larger and larger in the negative direction, f(x) gets more positive.

• As x gets larger and larger in the negative direction, f(x) gets more negative. As x gets larger and larger in the negative direction, f(x) gets more positive.

• As x gets larger and larger in the positive direction, f(x) gets more negative. As x gets larger and larger in the negative direction, f(x) gets more positive.

• As x gets larger and larger in the positive direction, f(x) gets more positive. As x gets larger and larger in the negative direction, f(x) gets more negative.