Question

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)

Answer 1

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.

Answer 2

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

Answer 3

m does exist

Answer 4

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

Answer 5

a constant function exist everywhere
and so does a linear function