Thread: Continuity of the Sawtooth Function.

Sawtooth function: Draw the graph of f(x) = x - [x]. At which points is f discontinuous? Is it left- or right-continuous at those points?

I have no idea where to begin...when I graphed this, it said it was undefined everywhere.

Originally Posted by riddikulus

Sawtooth function: Draw the graph of f(x) = x - [x]. At which points is f discontinuous? Is it left- or right-continuous at those points?

I have no idea where to begin...when I graphed this, it said it was undefined everywhere.

attached graph ... note the function is defined at (1,0)

Originally Posted by riddikulus

Sawtooth function: Draw the graph of f(x) = x - [x]. At which points is f discontinuous? Is it left- or right-continuous at those points?

What is important here is for you to realize that


Thus the graph has a range

So do the question.