D) continous
Explanation to know if a function is continuos we need to check if its graph can be traced with a pen without lifting the pen from the page. A function is continuous if its graph is an unbroken curve; that is, the graph has no holes, gaps, or breaks.
so, lets check the given graph
the lines has not holes, gaps or breaks , so we can conclude
the function is
D) continous
I hope this helps you
