# Is the function defined, continuous and differentiable

## 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?

## 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 teh right approach.

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

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
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.