4.1 + 4.2 Review

Classify by the DEGREE: 4x³ - 5x⁶ + 2x - 1

• 1

• 3

• 6

• 10

What id the Degree of the Polynomial?
5x³ - 6x + 1

• Linear 

• Quadratic

• Cubic

• Quartic

What is the lowest degree for the polynomial graphed?

• 4

• 3

• 2

• 6

What is the maximum number of turning points for the function?
f(x) = -x⁵ - 4x +2

• 1

• 2

• 3

• 4

What is the lowest degree for the polynomial shown?

• 4

• 5

• 3

• 10

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 degree and the sign of the leading coefficient (positive or negative) of a polynomial determines the behavior of the ends for the graph.

Enter the polynomial function into a graphing calculator or online graphing tool to determine the end behavior.

f(x) = -2x² + 3x

• 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.

What is the end behavior for
f(x)= πx⁵-5x²

• A

• B

• C

• D

What are the zeros of the graph?

• -4, -1, 2, 1 multiplicity 2

• -4, -1, 1, 2

• 4, 1, -2, -1 multiplicity 2

• 4, 1, -1, -2

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