End and Root Behavior of Polynomials

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 function has this end behavior?

• -x²-3x+1

• -x³+2x²+3

• x⁴+3x³-4x+1

• x⁵-4x⁴+2x²-1

Which function has this end behavior?

• -x²-3x+1

• -x³+2x²+3

• x⁴+3x³-4x+1

• x⁵-4x⁴+2x²-1

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) →-∞.

Describe the end behavior of the graph.

• x → ∞, y→ ∞ and x→∞, y→⁻∞

• x → ∞, y→ ∞ and x→⁻∞, y→∞

• x → ∞, y→ ⁻∞ and x→⁻∞, y→⁻∞

• x → ∞,y→ ⁻∞ and x→ ⁻∞, y→∞

What are the zeros of the polynomial?

• X=5, x=-3(multiplicity of 2)

• x=-3, x=5(multiplicity of 2)

• x=3, x=-5

• x=5

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

• -∞

• ∞

Which choice is correct?

• This function has and even degree

• This function has a negative leading coefficient

• This function has a zero at 1.

• The zero at −2 has even multiplicity.

Match the following End Behavior to their Graphs

• Degree is Odd, Leading Coefficient is Negative

• 
• Degree is Even, Leading Coefficient is Negative

• 
• Degree is Odd, Leading Coefficient is Positive

• 
• Degree is Even, Leading Coefficient is Positive

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