Power Functions

What is the end behavior of f(x) = 3x⁶ as x goes to negative infinity?

• positive infinity

• negative infinity

• zero

What is the end behavior of f(x) = -4x⁸ as x goes to positive infinity?

• positive infinity

• negative infinity

• zero

What is the end behavior of f(x) = 5x³ as x goes to positive infinity?

• positive infinity

• negative infinity

• zero

What is the end behavior of f(x) = 4x⁵ as x goes to negative infinity?

• positive infinity

• negative infinity

• zero

What is the end behavior of f(x) = -3x^-4 as x goes to positive infinity?

• positive infinity

• negative infinity

• zero

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

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

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

Identify the zeros:

• x=-2, x=-1, x=0
• x=-2, x=0
• x=-1, x=0, x=2
• x=-2, x=0, x=1

Match the graph to the function

• f(x) = -2x⁶+9x²
• f(x) = x⁴+x³-5x²-6
• f(x) = -½x⁴+1
• f(x) = -x²+3x