The figure shows the graph of a function. At the given value of x, does the function appear to be differentiable, continuous but not differentiable, or neither continuous nor differentiable? (attachment)

Question

anonymous · Answer

attachment

myininaya · Answer

That's a straight line.
derivative of y=mx+b is what?
does the derivative of y=mx+b exist?
it does if you can find it.

anonymous · Answer

@myininaya the derivative is m isnt it? and that would be 0. so it doesnt exist?

myininaya · Answer

m does exist

myininaya · Answer

at any one of those points the slope (derivative)  is the same

myininaya · Answer

a constant function exist everywhere
and so does a linear function