At which of these numbers is f continuous from the right, from the left, or neither? Sketch the graph of f.

Question

Find the numbers at which f is discontinuous. At which of these numbers is f continuous from the right, from the left, or
neither? Sketch the graph of f.

Answer 1

Step 1 :

Graph of the function

Observe the graph:

The function is discontinuous at , because

does not exist.

But at , the function is continuous from the left side.

The function is left continuous, if

Observe the graph :

Solution :

The function is discontinuous at and it is left continuous.

The graph of the function :