Question

A function whose graph consists of disconnected points is called a discrete function. A function whose graph you can draw without lifting your pencil is called a continuous function. Determine whether each function is discrete or continuous.

Short answer

The given function is discrete function.

Step-by-step solution

– Definition of discrete and continuous function.

A function is called discrete if its graph consists of disconnected points.

A function is called continuous if its graph has a single line or curve.

– Given information.

The given graph is:

– Check whether the function is discrete or continuous.

The given graph represents a function. From the above graph it is clear that the graph consists of disconnected points.

Using the definition of discrete function, it is clear that the given graph represents a discrete function.

Thus, the given function is a discrete function.