Graph x3+2⁢x2−5⁢x−9 on the interval −3,3, and estimate the coordinates of intercepts and extrema graphically.
Control-drag the given expression.
Context Panel: Plots≻Plot Builder≻2-D plot
Basic Options: x → −3 to 3
2-D Options: grid lines
Alternatively, bring up the Context Menu on the graph itself, and select Probe Info. Select "Nearest point on line"
The cursor now traces the curve, and provides the coordinates of the point traced.
Alternatively, graph the given cubic polynomial, either with the
or with the plot command. (However, launching the Interactive Plot Builder with this button cannot provide an embedded graph.) Coordinates on the graph can be estimated either via grid lines or via one of the probes.
Click on the graph to access the graphing toolbar (Figure A-9.5(a).
Click on the grid button (next-to-last button, to the right of the magnifying glasses) to put a grid on the graph. (See Figure A-9.5(b).)
Figure A-9.5(a) Graphing toolbar
Figure A-9.5(b) Graph with grid lines
Figure A-9.5(c) shows the Context Panel for the graph being used to access the Probe Info probes. The default is None, as shown in the figure. The first choice displays coordinates of any point in the graphing window; the second, causes the cross-hairs to traverse the curve, displaying the coordinates of the point on the line closest to the location of the cross-hairs. The third choice again causes the cross-hairs to traverse the curve, but the coordinates displayed are those in the plot data-structure (used by Maple to draw the graph), and which are closest to the cross-hairs. This third option is generally the most accurate.
Figure A-9.5(c) Accessing Probe Info
Figure A-9.5(d) Reading coordinates on a curve
Any displayed coordinates can be copied to the clipboard by the Probe Info option in the Context Panel, which will now have the "Copy data" option listed. Once the coordinates have been copied, they can be pasted into the worksheet. Of course, the accuracy of these graphical techniques are limited by the pixel resolution of the screen.
Additional information on manipulating graphs is available in Table 6.3 of the built-in Maple User Manual.
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