Describe the end behavior of the function y=logx.(1 point)

Question

Responses

As x→−∞, y→−∞, and as x→0, y→∞.
As x right arrow negative infinity , y right arrow negative inifinity , and as x right arrow 0 , y right arrow infinity .

As x→0+, y→∞, and as x→∞, y→−∞.
As x right arrow 0 superscript positive baseline , y right arrow infinity , and as x right arrow infinity , y right arrow negative inifinity .

As x→−∞, y→−∞, and as x→∞, y→∞.
As x right arrow negative infinity , y right arrow negative infinity , and as x right arrow infinity , y right arrow infinity .

As x→0+, y→−∞, and as x→∞, y→∞.

Answer 1

To describe the end behavior of the function \( y = \log x \):

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

So the correct description is:

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

This corresponds to the following response:

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