User Manual

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Graph Solve

You can use any of the following methods to analyze function

graphs and approximate results.

•Calculating the root

•Determination of the local maximum value and local minimum

value

•Determination of the y-intercept

•Determination of the intersection of two graphs

•Determination of the coordinates at any point (y for a given x/

x for a given y)

•Determination of the integral for any range

9-1 Before Using Graph Solve

9-2 Analyzing a Function Graph

Chapter

Summary of content (10 pages)

PAGE 1
Chapter Graph Solve You can use any of the following methods to analyze function graphs and approximate results.
PAGE 2
9-1 Before Using Graph Solve After using the GRAPH Mode to draw the graph, press ! 5 (G-Solv) to display a function menu that contains the following items. • {ROOT}/{MAX}/{MIN}/{Y-ICPT}/{ISCT} ... {root}/{local maximum value}/{local minimum value}/{y-intercept}/{intersections of two graphs} • {Y-CAL}/{X-CAL}/{∫dx} ...
PAGE 3
9-2 Analyzing a Function Graph The following two graphs are used for all of the examples in this section, except for the example for determining the points of intersection for two graphs. Memory location Y1 = x + 1 Y2 = x(x + 2)(x – 2) Use the View Window to specify the following parameters. (A) Xmin = –5 Ymin = –5 (B) Xmin = –6.3 Ymin = –3.1 Xmax = 5 Ymax = 5 Xmax = 6.3 Ymax = 3.
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9-2 Analyzing a Function Graph Search for the next root to the right. e • If there is no root to the right, nothing happens when you press e. e • You can use d to move back to the left. • If there is only one graph, pressing 1(ROOT) directly displays the root (selection of the graph is not required). • Note that the above operation can be performed on rectangular coordinate (Y=) and inequality graphs only.
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Analyzing a Function Graph 9-2 Specify the graph and determine the local minimum value. !5(G-Solv) 3(MIN) cw • If there is more than one local maximum/minimum value, you can use d and e to move between them. • If there is only one graph, pressing 2 (MAX) / 3 (MIN) directly displays the local maximum/minimum value (selection of the graph is not required). • Note that the above operation can be performed on rectangular coordinate (Y=) and inequality graphs only.
PAGE 6
9-2 Analyzing a Function Graph k Determining Points of Intersection for Two Graphs Example To draw the following three graphs and then determine the points of intersection for the Graph Y1 and Graph Y3. View Window: (A) Y1 = x + 1 Y2 = x (x + 2) (x – 2) Y3 = x2 !5(G-Solv) 5(ISCT) (This puts the unit into standby waiting for selection of a graph.) Specify Graph Y1. w • Pressing w changes “ k ” into “ ◆ ” for specification of the first graph.
PAGE 7
Analyzing a Function Graph 9-2 k Determining a Coordinate (x for a given y/y for a given x) Example To determine the y-coordinate for x = 0.5 and the x-coordinate for y = 3.2 in the graph y = x (x + 2) (x – 2) View Window: (B) !5(G-Solv)6(g)1(Y-CAL) Specify a graph. cw • At this time, the unit waits for input of an x-coordinate value. Input the x-coordinate value. a.f Determine the corresponding y-coordinate value. w Specify a graph.
PAGE 8
9-2 Analyzing a Function Graph • If there is more than one x-coordinate value for a given y-coordinate value or more than one y-coordinate value for a given x-coordinate value, use e and d to move between them. • The display used for the coordinate values depends on the graph type as shown below. • Polar Coordinate Graph • Parametric Graph • Inequality Graph • Note that you can not determine a y-coordinate for a given x-coordinate with a parametric graph.
PAGE 9
Analyzing a Function Graph 9-2 Input the upper limit and determine the integral. e~e(Upper limit; x = 0) w • The lower limit must be less than the upper limit when specifying the integration range. • Note that the above operation can be performed on rectangular coordinate (Y=) graphs only. k Graph Solve Precautions • Depending on the View Window parameter settings, there may be some error in solutions produced by Graph Solve.
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