Algebra-2

Question Analysis
This question involves identifying the range of the basic logarithmic function .
The main focus is on understanding the difference between the restricted domain (x > 0) and the unrestricted range of logarithmic functions.

Key Concept Explanation
The range of a function is the set of all possible output values (y-values) the function can produce. For :
While the domain is restricted to (argument must be positive), the range has no restrictions. As increases from 0 to infinity:
When , is negative (e.g., ).
When , .
When , is positive (e.g.,