PC U3 Polynomial End Behavior

Using the graph, what can we assume about the equation?

• Degree - Even

  Leading Coefficient - Positive

• Degree - Odd

  Leading Coefficient - Positive

• Degree - Even

  Leading Coefficient - Negative

• Degree - Odd

  Leading Coefficient - Negative

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10

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

Using the graph, what can we assume about the equation?

• Degree - Even

  Leading Coefficient - Positive

• Degree - Odd

  Leading Coefficient - Positive

• Degree - Even

  Leading Coefficient - Negative

• Degree - Odd

  Leading Coefficient - Negative

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.1

Using the graph, what can we assume about the equation?

• Degree - Even

  Leading Coefficient Positive

• Degree - Odd

  Leading Coefficient Positive

• Degree - Even

  Leading Coefficient Negative

• Degree - Odd

  Leading Coefficient Negative

Tags

CCSS.HSA.APR.B.3

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→∞
• None of these
• x →∞,y→⁻∞ and
  x→∞, y→⁻∞

Tags

CCSS.HSF-IF.C.7A

In the above graph complete the following end behavior:
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____

• -∞
  -∞
• +∞
  -∞
• -∞
  +∞
• +∞
  +∞

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

In the above graph complete the following end behavior: (f(x)=y)
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____

• -∞
  -∞
• +∞
  -∞
• -∞
  +∞
• +∞
  +∞

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What can we expect the end behavior to be on the graph of the function: $f\left(x\right)=-3x^2+6$  

• Rises on the left and right

• Rises on left, falls on right

• Falls on the left, rises on the right

• Falls on the left and right

Tags

CCSS.HSF-IF.C.7A

Determine the end behavior of the graph of 
f(x) = -7x³ + 2x - 1

• 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

What can we expect the end behavior to be on the graph of the function: $f\left(x\right)=2x^3-x+5$  

• Rises on the left and right

• Rises on left, falls on right

• Falls on the left, rises on the right

• Falls on the left and right

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7