How to graph y=log3(x+3) and what is its Asymptote, Domain, and Range

The asymptote is

Domain is

Range is

Explanation:

Given that the function is

Asymptote:

The function has no horizontal asymptote.

The given function is of the form, has a vertical asymptote

where

Thus, the vertical asymptote is

Domain:

The domain of the function is the set of all independent x - values for which the function is real and well defined.

Let us find the positive values for log

Thus, we have,

Thus, the function domain in interval notation is

Range:

The range of the function is the set of all dependent y - values of the function.

Hence, the range of the function is

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