Graph the logarithmic function. \[ f(x)=\log _{3} x \] Plot two points on the graph of the function, and also draw the asymptote. Then click on the graph-a-function button.

To graph the function \( f(x) = \log_{3} x \), start by plotting the two key points. For instance, when \( x = 3 \), then \( f(3) = \log_{3} 3 = 1 \). Therefore, the point \( (3, 1) \) is on the graph. Another point can be \( x = 1 \); thus \( f(1) = \log_{3} 1 = 0 \), giving you the point \( (1, 0) \). Next, it's important to note that the graph has a vertical asymptote at \( x = 0 \), since logarithmic functions approach negative infinity as x approaches zero from the right. Your graph will rise to the right through the plotted points, getting steeper as x increases while never crossing the vertical line at x = 0. Now, you can visualize these points along with the asymptote to capture the essence of the log function!