Graphing functions

Use the end behavior to determine if the leading coefficient is positive or negative and whether the degree is even or odd.

• Leading Coefficient Positive

  Degree - Even

• Leading Coefficient Positive

  Degree - Odd

• Leading Coefficient Negative

  Degree - Even

• Leading Coefficient Negative

  Degree - Odd

What is the End Behavior?

The _______________ of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity.

 $y=-\left(x+11\right)^4\left(x+4\right)^2$  is a 6th degree polynomial that is even and negative.  What is the end behavior?

• Both ends point up

• Both ends point down

• The left side points up, the right side points down

• The left side points down, the right side points up

The graph of f(x) is shown here. Which of the statements correctly identify the end behavior? Select all that apply.

• Left: Up

  Right: Up

• Left: Down

  Right: Down

• Left: Up

  Right: Down

• Left: Down

  Right: Up

What is the End behavior on the left side

• x →-∞, y→∞

• x →-∞, y→-∞

• x →∞, y→∞

• x →∞, y→∞

Which of the following equations has the SAME END-BEHAVIOR as this graph?

• y = - 2x⁴ -3x³ + x² -3x + 4

• y = 5x⁴ -3x³ + x² + 2x + 7

• y = 7x³ + 5x² - 2x + 3

• y = - 4x³ - 4x² + 7x + 9

Which of the following equations has the SAME END-BEHAVIOR as this graph?

• y = - x² + 12 - 30

• y = x² + 2x + 7

• y = x³ + 5x² - 2x + 3

• y = - x³ - 4x² + 7x + 9