Algebra-2

To determine the range of the function , let's analyze the expression.

The expression inside the logarithm, , is always greater than or equal to 0 for all real values of , and it is equal to 0 only when .

Since logarithms are only defined for positive arguments, is defined for all , and the argument is positive for all .

Thus, for all , and we can compute for all .

Find the behavior of

The expression behaves similarly to where . Since can take any positive value, the logarithmic function can take any real value.

As ,

Click "Show Answer" to reveal the answer and analysis