End Behavior Polynomials

Describe the end behavior of the graph.

• x →∞, y→∞ and x→∞, y→⁻∞

• x →∞, y→∞ and x→⁻∞, y→∞

• x →∞, y→∞ and x→⁻∞, y→0

• x →∞,y→0 and x→∞, y→⁻∞

What is the name of the term that affects the end behavior

• Last Term

• First Term

• Leading Term

• Middle Term

As x --> -∞, f(x) --> ____

As x --> +∞, f(x) --> ____

• -∞

  -∞

• +∞

  -∞

• -∞

  +∞

• +∞

  +∞

As x --> -∞, f(x) --> ____

As x --> +∞, f(x) --> ____

• -∞

  -∞

• +∞

  -∞

• -∞

  +∞

• +∞

  +∞

Which function has this end behavior?

• -x²-3x+1

• -x³+2x²+3

• x⁴+3x³-4x+1

• x⁵-4x⁴+2x²-1

A function that has this end behavior must be (choose 2)

• Even

• Odd

• Positive

• Negative

Which function has this end behavior?

• -1x⁴-3x³+3

• -2x⁷+2x⁴+4

• 3x⁸+3x⁵-4x+7

• 4x⁵-4x⁴+2x³-9

Which function has this end behavior?

• -x²-3x+1

• -x³+2x²+3

• x⁴+3x³-4x+1

• x⁵-4x⁴+2x²-1

The two parts of the equation that determine the end behavior are...(select both)

• Degree (even/odd)

• Leading coefficient (positive/negative)

• X-intercepts (positive/negative)

• Number of terms (even/odd)

Identify the sign of the leading coefficient and the degree of the polynomial.

• Leading Coefficient Positive

  Degree - Even

• Leading Coefficient Positive

  Degree - Odd

• Leading Coefficient Negative

  Degree - Even

• Leading Coefficient Negative

  Degree - Odd