FF 12-18-18

y = -x²

• down and down
• down and up
• up and down
• up and up

Tags

CCSS.HSF-IF.C.7A

y = -6x³ - 2

• down and down
• down and up
• up and down
• up and up

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

y = 8x² - 5x⁸ + 3x⁷-10x⁵

• down and down
• down and up
• up and down
• up and up

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

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.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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) → – ∞

Tags

CCSS.HSF-IF.C.7A

What is the end behavior as x → -∞ f(x)→ ?

• -∞
• ∞

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.1

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

• Positive
• Negative

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 degree and the sign of the leading coefficient (positive or negative) of a polynomial determines the behavior of the ends for the graph.  
Enter the polynomial function into a graphing calculator or online graphing tool to determine the end behavior.
f(x) = -2x² + 3x 

• Left up    Right up
• Left up   Right down
• Left down  Right up
• Left down   Right down

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.2

Determine the end behavior of the polynomial by identifying the degree and leading coefficient.

f(x) = 5x⁴ - x + 6

• UP-UP

• UP-DOWN

• DOWN-UP

• DOWN-DOWN

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7