How about the function
“lawn” of
(one plus x)?
What is its maximal domain and corresponding range? First, let us find the maximal domain.
Since we know that we can only take logarithm of numbers that are larger than zero, the minimum value of one plus x is zero.
Hence, the minimum value of x is minus one. The maximal domain of the function is where x is more than minus one.
How about the range? Referring to the graph, for this value of the domain, the range of the function is the set of real numbers since there are no restrictions.