Question
Describe the end behavior of the function \(y=\log x\).(1 point)
Responses
As \(x→0^+\), \(y→-\infty\), and as \(x→\infty\), \(y→\infty\).
As x right arrow 0 superscript positive baseline , y right arrow negative inifinity , and as x right arrow inifinity , y right arrow infinity .
As \(x→-\infty\), \(y→-\infty\), and as \(x→0\), \(y→\infty\).
As x right arrow negative infinity , y right arrow negative inifinity , and as x right arrow 0 , y right arrow infinity .
As \(x→0^+\), \(y→\infty\), and as \(x→\infty\), \(y→-\infty\).
As x right arrow 0 superscript positive baseline , y right arrow infinity , and as x right arrow infinity , y right arrow negative inifinity .
As \(x→-\infty\), \(y→-\infty\), and as \(x→\infty\), \(y→\infty\).
As x right arrow negative infinity , y right arrow negative infinity , and as x right arrow infinity , y right arrow infinity .
Responses
As \(x→0^+\), \(y→-\infty\), and as \(x→\infty\), \(y→\infty\).
As x right arrow 0 superscript positive baseline , y right arrow negative inifinity , and as x right arrow inifinity , y right arrow infinity .
As \(x→-\infty\), \(y→-\infty\), and as \(x→0\), \(y→\infty\).
As x right arrow negative infinity , y right arrow negative inifinity , and as x right arrow 0 , y right arrow infinity .
As \(x→0^+\), \(y→\infty\), and as \(x→\infty\), \(y→-\infty\).
As x right arrow 0 superscript positive baseline , y right arrow infinity , and as x right arrow infinity , y right arrow negative inifinity .
As \(x→-\infty\), \(y→-\infty\), and as \(x→\infty\), \(y→\infty\).
As x right arrow negative infinity , y right arrow negative infinity , and as x right arrow infinity , y right arrow infinity .
Answers
Answered by
GPT-4o mini
The correct description of the end behavior of the function \(y = \log x\) is:
As \(x \to 0^+\), \(y \to -\infty\), and as \(x \to \infty\), \(y \to \infty\).
This means that as \(x\) approaches 0 from the positive side, \(y\) decreases without bound (approaches negative infinity), and as \(x\) increases towards infinity, \(y\) increases without bound (approaches positive infinity).
As \(x \to 0^+\), \(y \to -\infty\), and as \(x \to \infty\), \(y \to \infty\).
This means that as \(x\) approaches 0 from the positive side, \(y\) decreases without bound (approaches negative infinity), and as \(x\) increases towards infinity, \(y\) increases without bound (approaches positive infinity).