Question

In the context of graphing piecewise functions, which option below correctly describes the number of segments formed when plotting a piecewise function on a calculator?

a) Always one segment
b) Two segments for each piecewise-defined interval
c) The number of segments varies based on the function
d) No segments formed

Answer 1

The number of segments in a graph of a piecewise function varies, corresponding to the number of intervals over which the function is defined.

The Correct Option is; b) Two segments for each piecewise-defined interval

Step-by-step explanation:

When graphing piecewise functions, the number of segments varies based on the function. This is because each 'piece' of the function, defined over a specific interval, can be represented by a separate segment on the graph. If a piecewise function is defined over n intervals, there will generally be n different segments.

For example, if you have a piecewise function with three definitions over three intervals, you will see three segments on the graph, each corresponding to one part of the definition of the function.

The number of segments in a graph of a piecewise function varies, corresponding to the number of intervals over which the function is defined.