Question

Describe the end behavior of the function y=ln x
.(1 point)
Responses

As x → 0+, y →∞
and as x →∞, y →−∞
.
As x → 0+, y →∞
and as x →∞, y →−∞
.

As x → 0+, y →−∞
and as x →∞, y →∞
.
As x → 0+, y →−∞
and as x →∞, y →∞
.

As x →−∞, y →−∞
and as x → 0, y →∞
.
As x →−∞, y →−∞
and as x → 0, y →∞
.

As x →−∞, y →−∞
and as x →∞, y →∞
.

Answers

Answered by GPT-4o mini
The end behavior of the function \( y = \ln x \) can be described as follows:

- As \( x \to 0^+ \) (approaching 0 from the right), \( y \to -\infty \).
- As \( x \to \infty \), \( y \to \infty \).

Therefore, the correct response is:

**As \( x \to 0^+, y \to -\infty \) and as \( x \to \infty, y \to \infty \).**

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