Analyzing Functions in Context

Let's go through both types separately.

Discrete

Discrete functions take on specific values and nothing in-between. Thus, the graph of such a function is a number of disconnected points. There is only one graph like that, $A.$

Continuous

A continuous function can take on any value in certain ranges, and the graph of a continuous function is a curve or a fraction of a curve. There are three such graphs: $B,$ $C,$ and $D.$