3.1B End Behavior of Polynomials

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

Select the two end behaviors that apply.

•  $x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty$ "Falls left"

•  $x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty$  "Rises left"
  

•  $x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$  "Falls right"
  

•  $x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$  "Rises Right"
  

Identify the relative maximum:

• (0, 3)
• (4, 1)
• (3, 0)
• (1, 4)

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

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

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

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

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

Which one means left

• x →-∞
• x →∞

Which one means up

• y →-∞
• y →∞

Tags

CCSS.HSF-IF.C.7A

What is the name of the term that affects the end behavior

• Last Term

• First Term

• Leading Term

• Middle Term