End Behavior Asymptotes

As x → − ∞

• y → ∞

• y → − ∞

• y → 0

The logarithmic function f is defined by f(x) = 2lnx. Which of the following pairs of statements correctly describes the end behavior of f?

As x → -∞ , f(x) →

• -4

• -3

• ∞

• -∞

As x --> ∞, f(x) --> ____

• 0

• ∞

• -∞

• 1

As x → ∞ , f(x) →

• -4

• -3

• ∞

• -∞

• negative

• positive

• -3

• 4

• As the function approaches two, left and right of two do not match

• As the function approaches two, the graph oscillates.

• As the function approaches two, the graph increases or decreases without bound.

• As the function approaches zero, left and right of zero do not match

• As the function approaches zero, the graph oscillates.

• As the function approaches zero, the graph increases without bound.