Is the function defined, continuous and differentiable

[Painguy]

Homework Statement

Graph the function defined by the following.
B = {(r/r0)B0 for r ≤ r0
{(r0/r)B0 for r > r0

(a) Is B continuous at r = r0?
yes no

(b) Is B differentiable at r = r0?

Homework Equations

The Attempt at a Solution

I'm not exactly sure what to do. I would use the definition of a derivative to do this, but I'm not sure if that's the right approach.

 

[LCKurtz]

What to do is start by following the instructions. It says "graph the function". Have you done that?

 

[Painguy]

What to do is start by following the instructions. It says "graph the function". Have you done that?

How would i graph r0 or B0? Its those two variables that confuse me.

 

[LCKurtz]

How would i graph r0 or B0? Its those two variables that confuse me.

Pick a point on the $r$ axis and label it $(r_0,0)$. Similarly, label some point on the $B$ axis $(0,B_0)$. Then draw the graph.