Texas Instruments TI-84 PLUS SILV Guidebook - Page 116
Graphing Web Plots, Evaluating u, v, and w, Valid Functions for Web Plots, Displaying the Graph Screen
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• When Time axes format is selected, value displays Y (the u(n) value) for a specified n value. • When Web axes format is selected, value draws the web and displays Y (the u(n) value) for a specified n value. • When uv, vw, or uw axes format is selected, value displays X and Y according to the axes format setting. For example, for uv axes format, X represents u(n) and Y represents v(n). Evaluating u, v, and w To enter the sequence names u, v, or w, press y [u], y [v], or y [w]. You can evaluate these names in any of three ways. • Calculate the nth value in a sequence. • Calculate a list of values in a sequence. • Generate a sequence with u(nstart,nstop[,nstep]). nstep is optional; default is 1. Graphing Web Plots Graphing a Web Plot To select Web axes format, press y . ~ Í. A web plot graphs u(n) versus u(nN1), which you can use to study long-term behavior (convergence, divergence, or oscillation) of a recursive sequence. You can see how the sequence may change behavior as its initial value changes. Valid Functions for Web Plots When Web axes format is selected, a sequence will not graph properly or will generate an error. • It must be recursive with only one recursion level (u(nN1) but not u(nN2)). • It cannot reference n directly. • It cannot reference any defined sequence except itself. Displaying the Graph Screen In Web format, press s to display the graph screen. The TI-84 Plus: • Draws a y=x reference line in AxesOn format. • Plots the selected sequences with u(nN1) as the independent variable. Chapter 6: Sequence Graphing 109