Describe the end behavior of the function y=logx

.(1 point)
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→∞
.
As x right arrow 0 superscript positive baseline , y right arrow negative inifinity , and as x right arrow inifinity , y right arrow infinity .

1 answer

The correct description of the end behavior of the function \( y = \log x \) is:

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

So the associated response is:

As x right arrow 0 superscript positive baseline , y right arrow negative infinity , and as x right arrow infinity , y right arrow infinity .