Polynomial Functions of Higher Degree

The degree and the sign of the leading coefficient (positive or negative) of a polynomial determines the behavior of the ends for the graph. Determine the end behavior of this equation. f(x) = -x⁵ - 4x +2

• As x goes to negative infinity, y goes to positive infinity. As x goes to positive infinity, y goes to positive infinity.

• As x goes to negative infinity, y goes to positive infinity. As x goes to positive infinity, y goes to negative infinity.

• As x goes to negative infinity, y goes to negative infinity. As x goes to positive infinity, y goes to positive infinity.

• As x goes to negative infinity, y goes to negative infinity. As x goes to positive infinity, y goes to negative infinity.

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient 

• Leading Coefficient Positive
  Degree - Even

• Leading Coefficient Positive
  Degree - Odd

• Leading Coefficient Negative
  Degree - Even

• Leading Coefficient Negative
  Degree - Odd

Which function has this end behavior?

• -1x⁴-3x³+3

• -2x⁷+2x⁴+4

• 3x⁸+3x⁵-4x+7

• 4x⁵-4x⁴+2x³-9

How many zeros does the polynomial function
 P(x) = 3x⁴+4x-8 have?

• 1

• 2

• 3

• 4

Is the leading coefficient positive or negative

• positive

• negative

• odd degree

• even degree

• positive leading coefficient

• negative leading coefficient

Which function is graphed?

• (x - 4)(x + 2)(x - 8)=0

• (x - 4)(x - 2)(x + 8)=0

• (x - 4)(x + 2)(x + 8)=0

• (x + 4)(x + 2)(x + 8)=0

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

• Falls on left, rises on right.

• Falls on left, falls on right.

• Rises on left, rises on right.

• Rises on left, falls on right.

f(x) = (x+2)(x-3)²(x-4) Which choice best describes the zeros?

• -2, 3 (multiplicity 2), 4

• -2 (multiplicity 2), 3, 4

• 2, -3 (multiplicity 2), -4

• 2 (multiplicity 2), -3, -4

MULTIPLICITY: Which graph DOES NOT have a zero with an even multiplicity?

• 
• 
• 
•