The End Behavior of Polynomials

f(x) = 4 + 3x - 6x⁷ + 3x⁴

• UP and UP

• DOWN and DOWN

• UP and DOWN

• DOWN and UP

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

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

Which function has this end behavior?

• -1x⁴-3x³+3

• -2x⁷+2x⁴+4

• 3x⁸+3x⁵-4x+7

• 4x⁵-4x⁴+2x³-9