End Behavior Algebra

Describe the end behavior of the graph.

• as x → ∞, f(x)→ ∞ and

  as x→ ∞, f(x)→ – ∞

• as x → ∞, f(x)→ ∞ and

  as x→ – ∞, f(x)→∞

• as x → ∞, f(x)→ ∞ and

  as y→ – ∞, f(y)→∞

• as x →∞, f(x) → – ∞ and

  as x→∞, f(x) → – ∞

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

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 polynomial is...

• Odd degree, positive leading coefficient.

• Odd degree, negative leading coefficient.

• Even degree, positive leading coefficient.

• Even degree, negative leading coefficient.

What is the degree?

• Positive

• Negative

• Odd

• Even

What are the x-intercepts of the following function?
y = 2(x - 1)(x +3)(x - 4)

• 1, 3 and 4
• 2, 1, -3, and 4
• -1, 3, and -4
• 1, -3, and 4

What is the equation in factored form of this graph?

• f(x) = (x-4)(x-1)²(x+2)(x+4)
• f(x) = (x-4)(x+1)²(x+2)(x+4)
• f(x) = (x-4)(x-1)²(x-2)(x+4)
• f(x) = (x+4)(x+1)²(x-2)(x-4)

Based on the end behavior which option best describes the leading term?

• negative coefficient, even degree
• negative coefficient, odd degree
• negative degree, odd coefficient
• negative degree, even coefficient

• A.
• B.
• C.
• D.