If we draw the graph of $$f(x) = \log_{10}(x + 1)$$ on the domain of definition, which quadrants does it pass through?

The domain of the log is (0, $$\infty\ $$). So the x could go from (-1,$$\infty\ $$). In general, the value of a log goes negative when the argument of a log is between 0 and 1 when the base is 10. In this question, the argument stays in that range when x is between -1 and 0. Hence, the graph will pass through the third quadrant when x is in that range. And when the x is positive, the log value will be positive. Hence, the graph passes through the first quadrant.