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Continuous Functions

A function whose graph can be drawn without lifting your pencil from the paper is called a continuous function.

Examples of Continuous Functions:

Continuous functions on 3 different graphs. There are three different graphs on a coordinate plane. Each graph has an equation of a function. Each function can be drawn without lifting your pencil.

Discontinuous Functions

A discontinuous function is said to be the opposite of a continuous function. It is a function that has breaks in it. You do have to raise your pencil from the paper when drawing it.

Examples of discontinuous functions:

First graph discontinuous function. Second graph continuous function. Third graph discontinuous function. There are three different graphs on a coordinate plane. Each graph is a function with breaks in the graph. The first graph has two curved lines. The lines are separate. The second graph has one wavy line, but there is one open point on the line. The third graph has one curved function in the first quadrant and one curved function in the third quadrant. All of the graphs require your pen if you draw them to be picked up.