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`y=log_3x + 4` Graph the function. State the domain and range.

We are asked to graph the function `y=log_3x+4 ` :


The graph is a translation of the graph `y=log_3x ` up 4 units. Some points on the graph: (1/27,1),(1/9,2),(1/3,3),(1,4),(3,5),(9,6)


The domain is x>0 and the range is all real numbers. There is a vertical asymptote at x=0, and the function is increasing and concave down on its domain.


 The graph:


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