Polynomials & End Behavior

Describe the end behavior of the function. 
f(x) = -2x² + 3x 

• Left up    Right up

• Left up   Right down

• Left down  Right up

• Left down   Right down

What are the zeros of the function?

• 4,1

• 3,1,-2,-5

• -3, -1, 2, 5

• -2,4

Describe the left-end behavior of the graph.

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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

Using the above graph what is the sign of the leading coefficient?

• Positive

• Negative

What is the degree of this polynomial function?  Is the leading coefficient positive or negative?
(Note: quartic means 4th degree, cubic means 3rd degree polynomials)

• quartic polynomial with a negative leading coefficient.

• quartic polynomial with a positive leading coefficient.

• cubic polynomial with a negative leading coefficient.

• cubic polynomial with a positive leading coefficient.

Identify the degree and leading coefficient:

• Degree: Even

  Leading Coefficient: Positive

• Degree: Even

  Leading Coefficient: Negative

• Degree: Odd

  Leading Coefficient: Positive

• Degree: Odd

  Leading Coefficient: Negative

Which statement is true?

• This is a 4th degree polynomial with 4 real roots and 2 imaginary roots

• This is a 4th degree polynomial with 4 real roots and no imaginary roots

• This is a 4th degree polynomial with 4 imaginary roots

What is the leading coefficient?

• Positive 

• Negative

• Odd 

• Even

Identify the degree and leading coefficient:

• Degree: Even

  Leading Coefficient: Positive

• Degree: Even

  Leading Coefficient: Negative

• Degree: Odd

  Leading Coefficient: Positive

• Degree: Odd

  Leading Coefficient: Negative