Graphing a Piecewise Function: Is it Continuous and Differential?

[neutron star]

Homework Statement

This is the last of 10 calculus problems I have to do this week (besides the one I have half finished) 7/8 so far :). This problem asks if the function is continuous and differential. I don't know how to graph this though. Can somebody help explain, I only need to know how to sketch a graph of this.

http://img27.imageshack.us/img27/5519/picture1tz.png

Thanks.

Homework Equations

The Attempt at a Solution

 

[LCKurtz]

Call the x-axis the r axis and the y-axis the B axis, so you are going to graph B as a function of r. Label a point r₀ on the r axis and a point B₀ on the B axis.

Now for r ≤ r₀ you have a straight line with slope B₀/r₀. And for r > 0 you have r₀B₀/r). Just sketch the two pieces on the same graph.