Polynomial Function End Behavior

Describe the end behavior of the graph.

• x → -∞, f(x) → ∞ and x→∞, f(x) →⁻∞

• x → -∞, f(x) → ∞ and x→∞, f(x) →∞

• x → -∞, f(x) → ∞ and x→∞, f(x) → 0

• x → -∞,f(x) → -∞and x→ ∞, f(x) → ∞

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) --> ____

• -∞
  -∞

• +∞
  -∞

• -∞
  +∞

• +∞
  +∞

What is the end behavior of the graph of P\left(x\right)=2x^3+3x^2-2x+1?

• The graph falls to the left and rises to the right

• The graph rises to the left and falls to the right

• The graph rises to both ends

• The graph falls to both ends

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

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.C.7A

Express the END BEHAVIOR of the graph shown. As x→​ ∞, (a)   As x →​ -∞, ​ ​ (b)  

Which function has this end behavior?

• -1x⁴-3x³+3

• -2x⁷+2x⁴+4

• 3x⁸+3x⁵-4x+7

• 4x⁵-4x⁴+2x³-9

• The leading coefficient is positive.

• The highest degree is even.

• The leading coefficient is negative.

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) →-∞.