tics said:Homework Statement
Hi everyone. Can someone help me\demonstrate how piecewise-defined functions are plotted using Derive6.
I really appreciate all of you who takes your precious time to help us. May God richly bless you all.
To define a piecewise function in Derive6, you will need to use the piecewise command. This command takes two or more expressions and their corresponding conditions as arguments, and combines them to create the piecewise function. For example, piecewise(x, x < 0, x^2, x >= 0) would define a piecewise function that outputs x when x is less than 0, and x^2 when x is greater than or equal to 0.
To plot a piecewise function in Derive6, you can use the graph command. This command takes the function to be graphed as its first argument, and the range of values for the independent variable as its second argument. For example, graph(piecewise(x, x < 0, x^2, x >= 0), -5, 5) would plot the piecewise function defined in the previous question over the range of -5 to 5.
Yes, you can add as many pieces as you need to a piecewise function in Derive6. Simply continue to add arguments to the piecewise command, alternating between the expressions and their corresponding conditions. However, be sure to include a condition for every expression, as omitting a condition will result in an error.
To edit or delete a piecewise function in Derive6, you can use the piece command. This command allows you to modify the expressions and conditions of a piecewise function. To delete a piece, simply leave the expression and condition arguments blank.
Yes, you can plot multiple piecewise functions on the same graph in Derive6 by using the graph command multiple times. Each time you use the command, you can specify a different function to plot. Additionally, you can use the hold command to prevent the previous graph from being cleared when you plot a new function, allowing you to compare multiple piecewise functions on the same graph.