Question

How do you know if a graph is continuous or discontinuous?

Answer 1

Finding if a function is Continuous or Discontinuous:

A continuous function is a function that can be drawn without lifting your pen off the paper while making no sharp changes, an unbroken, smooth curved line.

While, a discontinuous function is the opposite of this, where there are holes, jumps, and asymptotes throughout the graph which break the single smooth line.

For Example: $\sin x$ graph is continuous

Hence, we can know if a graph is Continuous or Discontinuous by above method.