End Behavior of Polynomials

What is the end behavior of this polynomial?

y = 7x² - 4x - 2

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(5 seconds...)

What is the end behavior of this polynomial?

f(x) = 6x³ - 7x² + 2x - 3

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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

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

Which function has this end behavior?
Note: f(x)=y

• -x²-3x+1

• -x³+2x²+3

• x⁴+3x³-4x+1

• x⁵-4x⁴+2x²-1

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

What is the leading coefficient?

• Positive

• Negative

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