End Behavior Review

Describe the end behavior of the graph.

• x → +∞, y→ +∞ and

  x→ - ∞, y→ - ∞

• x → +∞, y→ +∞ and

  x→-∞, y→+∞

• None of these

• x →+∞,y→-∞ and

  x→-∞, y→-∞

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Describe the end behavior of the graph.

• x → +∞, y→ -∞ and x→ -∞, y→ +∞

• x → +∞, y→ +∞ and x→ -∞, y→ +∞

• x → +∞, y→ +∞ and x→ -∞, y→ 0

• x → +∞,y→ +∞ and x→ -∞, y→ -∞

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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)

• A quartic polynomial with a negative leading coefficient.
• A quartic polynomial with a positive leading coefficient.
• A cubic polynomial with a negative leading coefficient.
• A cubic polynomial with a positive leading coefficient.

Tags

CCSS.HSA.APR.A.1

Determine the end behavior of the graph of

f(x) = 3x⁴ + 2x - 5

Note: f(x)=y

• As x → +∞, f(x) → +∞.

  As x→ -∞, f(x) → -∞.

• As x → +∞, f(x) → +∞.

  As x→ -∞, f(x) → +∞.

• As x → +∞, f(x) → -∞.

  As x→ -∞, f(x) → +∞.

• As x → +∞, f(x) → -∞.

  As x→ -∞, f(x) → -∞.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The degree of a polynomial can be determined by the largest powered monomial of the polynomial.  
What is the degree of the polynomial:
f(x) = -4x + 5x³ - 2x²

• Degree 2
• Degree 3
• Degree 4
• Degree 5

The leading coefficient is the coefficient of the largest degree monomial for the polynomial.

What is the leading coefficient for the polynomial f(x) = -5x + 2x³ + 4x²

• The leading coefficient is 2

• The leading coefficient is 3

• The leading coefficient is 4

• The leading coefficient is -5

Which function has this end behavior?

• -1x⁴-3x³+3
• -2x⁷+2x⁴+4
• 3x⁸+3x⁵-4x+7
• 4x⁵-4x⁴+2x³-9

Tags

CCSS.HSA.APR.A.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

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7