Do you mean "they have ranges to go with the domain"?samMD said:
The function formulas are attached, but not the graphs.samMD said:
A piecewise graph is a type of graph that is made up of multiple functions, each defined for a specific interval or range of values. These functions are "pieced" together to form a complete graph.
In some cases, the range for a piecewise graph may not be provided because it is either not relevant or it can be inferred from the given functions. This can also be a way to save space and simplify the graph.
To plot a piecewise graph in Maple, you can use the plot command and specify the different functions and their corresponding intervals. For example, plot({f1(x), a < x < b}, {f2(x), b < x < c}, {f3(x), c < x < d}) will plot a piecewise graph with three functions defined for three different intervals.
A piecewise graph can be useful in representing complex data or functions that have different behaviors for different intervals. It can also help in identifying key points or transitions between different functions.
One limitation of using a piecewise graph is that it may not be suitable for certain types of data or functions, such as continuous or smooth functions. It may also be more difficult to interpret or analyze compared to a single-function graph.
