Mathematica unfortunately does not have the same zooming features that Matlab plot has. In 3D one can zoom using the mouse. In 2D can can only enlarge or reduce the size of the overall plot using the mouse. But nothing build-in like Matlab's zooming into specific area in the plot with the mouse. May be in V 10 Mathematica will add this feature, which is very important and missing now.
So, other than having to redo the plot each time and change the options (plotrange, etc..), it is not hard to make a quick Manipulate to do all this yourself. Here is a quick example
Manipulate[
Plot[x^3, {x, -5, 5}, PlotRange -> {{-xRange, xRange}, {-yRange, yRange}},
ImagePadding -> 30, ImageSize -> 300, Frame -> True],
{{xRange, 5, "x limit?"}, 1, 5, .1},
{{yRange, 5, "y limit?"}, 1, 100, 1}
]

Now you can move the range for x and y and the plot will update.
Plot
. Take a look atPlotRange
,AspectRatio
,ImageSize
.You may also be interested in this topic: How to manimpulate 2D plots. $\endgroup$