Degree and End Behavior of Polynomials

Describe the end behavior of the graph.

• down, down

• down, up

• up, down

• up, up

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)

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

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

Which function has this end behavior?

• -1x⁴-3x³+3

• -2x⁷+2x⁴+4

• 3x⁸+3x⁵-4x+7

• 4x⁵-4x⁴+2x³-9

What is the degree of this polynomial function? Is the leading coefficient positive or negative?

• A 4th degree polynomial with a negative leading coefficient.

• A 4th degree polynomial with a positive leading coefficient.

• A 3rd degree polynomial with a negative leading coefficient.

• A 3rd degree polynomial with a positive leading coefficient.

What is the leading coefficient?

• Positive

• Negative