You can use the Graph&Table app to draw various types of graphs and to create numeric tables.

Example:  To input the functions $y=x^2-1$ and $y=x$, draw a graph, and create a numeric table

1. h > Graph&Table

2. On the Function tab, input the function.

(1) In the $y1$ line, input $x^2-1$.
(2) In the $y2$ line, input $x$.

Xi-1E
XE



3. To draw a graph of the function you entered, press >.

This displays the View Window menu. Change the range specification as required. For more information, see Specifying the Display Range of the Graph Window (View Window).

4. Highlight and then press O.

This draws the graph on the Graph tab.



5. To display the numeric table for the function you entered, press >.

This displays the numeric table on the Table tab.



6. To return to the Function tab, press > or b.

The Out of Drawing Range warning message appears when there is nothing to draw in the window when you try to draw a graph. If this happens, choose the desired operation from the menu that appears.

Within the Function tab, you can enter up to 20 functions of various types.

Use the Setup menu to select a function type. You can also use this menu to specify the range of the graph window and numeric table.

1. On the Function tab, highlight the first line.

Pressing U always highlights the first line.

2. Press O.

1. From the Setup menu, select [Type].

This displays the Type menu.

2. Perform the operations described in the table below.

To select this function type:	Select this menu item:
Cartesian coordinate type ($y\text{=}f\text{(}x\text{)}$ form)	[$y$=]
Polar coordinate type ($r\text{=}f\text{(}\theta \text{)}$ form)	[r‎=‎]
Parametric type ($\{\begin{array}{c}\mathrm{X}\mathrm{t}\text{=}f\text{(}\mathrm{T}\text{)}\\ \mathrm{Y}\mathrm{t}\text{=}f\text{(}\mathrm{T}\text{)}\end{array}$ form)	[Param]
Cartesian coordinate type ($\mathrm{X}\text{=}f\text{(}\mathrm{Y}\text{)}$ form)	[X‎=‎]
Inequality type ($y$>$f\text{(}x\text{)}$, $y$<$f\text{(}x\text{)}$, $y$≥$f\text{(}x\text{)}$, $y$≤$f\text{(}x\text{)}$ form)	[$y$>], [$y$<], [$y$≥], [$y$≤]
Inequality type ($\mathrm{X}$>$f\text{(}\mathrm{Y}\text{)}$, $\mathrm{X}$<$f\text{(}\mathrm{Y}\text{)}$, $\mathrm{X}$≥$f\text{(}\mathrm{Y}\text{)}$, $\mathrm{X}$≤$f\text{(}\mathrm{Y}\text{)}$ form)	[X‎>‎], [X‎<‎], [X‎≥‎], [X‎≤‎]

The type you choose is applied to the function you are about to input. It does not affect any function that has already been entered.

From the Setup menu, select [View Window]. See Specifying the Display Range of the Graph Window (View Window) for details.

From the Setup menu, select [Set Table Domain]. See Specifying a Table Domain for details.

1. Use the operation under To select a function type to select the type of function you want to input.

2. On the Function tab, highlight the line where you want to input, and then input a function.

Press X to input the variables ($x$, $\theta$, $\mathrm{T}$, $\mathrm{Y}$) according to the function type you chose.

Example 1:  To input the $y$ form of Cartesian coordinate type $y=2x^2-2$

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Example 2:  To input the polar coordinate type $r=\sin \text{(}\theta \text{)}-1$

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Example 3:  To input parametric type $\{\begin{array}{c}\mathrm{X}\mathrm{t}＝3\sin \text{(}\mathrm{T}\text{)}\\ \mathrm{Y}\mathrm{t}＝3\cos \text{(}\mathrm{T}\text{)}\end{array}$

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Example 4:  To input the $\mathrm{X}$ form of Cartesian coordinate type $\mathrm{X}=2{\mathrm{Y}}^2-5$

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In addition to the above, you can also use the special format input methods described below.

1. Use the procedure under To select a function type to select [Type] > [$y$≥].

2. Input $x^2-1$ into the $y1$ line and $x$ into the $y2$ line.

3. Highlight the $y2$ line and then select T > [Change Symbol] > [<].



4. Press > to draw the graph.

By default (S > [Ineq Region Type] > [Union]), all ranges satisfying the conditions of each inequality are filled.



If you choose S > [Ineq Region Type] > [Intersection] to draw the graph, only the range that satisfies the conditions of all inequalities is filled.

On the Function tab, highlight the line you want to edit and then perform the operation below.

On the Function tab, highlight the row that contains the graph drawing settings you want to change and then perform the operations described in the table below.

The line type and color you specify are shown by the icons to the left of each line of the Function tab.

1. On the Function tab, highlight a line that contains an input function.

2. Press T.

This displays a Tools menu with [Select] highlighted.

3. Change [Select] to (On) to enable or to (Off) to disable graphing and numeric table generation for the selected function.

4. Press b to close the Tools menu.

The on/off setting of step 3 is indicated by the icons to the left of each line of the Function tab.

… On

… Off

Press > or highlight and then press O. This causes the View Window menu to appear so you can specify the range of the graph window. Change the range specification as required. For more information, see Specifying the Display Range of the Graph Window (View Window).

To return to the Function tab, press < or b.

Press < or highlight and then press O.

To return to the Function tab, press > or b.

While the Graph tab is active, press D^* to hide the tab and expand the graph window. Press U to show the tab again.

in the lower-right corner of the window and in the status bar indicate that a hidden tab can be shown again.

Use the cursor keys.

Press + to zoom in or - to zoom out.

Use the View Window menu^* to specify the display range ($x$- and $y$-axis range) of the graph window. You can also use this menu to specify the range of values for drawing polar and parametric type graphs.

Use the View Window to input values for the items below.

‎$x$‎ Minimum, ‎$x$‎ Maximum, ‎$x$‎ Scale ($x$-axis minimum value, maximum value, scale)

‎$y$‎ Minimum^*, ‎$y$‎ Maximum, ‎$y$‎ Scale ($y$-axis minimum value, maximum value, scale)

‎$x$‎ Dot Value is the value per dot in the $x$-axis direction. It is determined according to the values of ‎$x$‎ Minimum and ‎$x$‎ Maximum. Changing the ‎$x$‎ Dot Value value automatically updates the ‎$x$‎ Maximum value.

These settings are applied when drawing parametric and polar graphs. Use the View Window to input values for the items below.

‎T‎,θ‎ Minimum, ‎T‎,θ‎ Maximum (maximum and minimum values assigned to T in the parametric type function, and maximum and minimum values to be assigned to $\theta$ in the polar coordinate type function)

‎T‎,θ‎ Pitch is the pitch of the T and $\theta$ values when drawing the graph. The smaller the pitch values, the finer the graph that is drawn. Larger values result in coarser graphs.

Your calculator provides various convenient zoom settings that you can use to change the display range of the graph window.

You can use the hand icon that appears to drag the graph window around the display.

1. While the graph window is displayed, select T > [Pan].

This displays an arrow pointer ().

2. Use the cursor keys to move the arrow pointer to the point in the window that you want to grab and then press O.

This causes the pointer to change from an arrow () to a hand ().

3. Use the cursor keys to move the hand and drag the window around the display.

The contents of the window move along with the hand.

4. Press O.

This returns the pointer to an arrow. You can repeat steps 2 and 3 as required.

When you are finished dragging window contents, press b.

You can use this operation to adjust the opacity of the background image. This operation can be performed only when a 16-bit color image is being used as the graph window background image. For information about displaying a background image, see Background (Graph).

1. While the graph window is displayed, select T > [Fade I/O].

2. Use l and r to adjust the opacity of the background image.

3. When the setting is the way you want, press b.

You can use Graph Solve to obtain the coordinates of roots, and other values for the integrals, $y$-axis intercept, or other key feature points on a graph. For example, perform the operation below to find the root of a function on a graph.

1. Enter the function in the Function tab and press > to draw a graph.

2. Select T > [Graph Solve] > [Root].

If there are multiple graphs in the graph window, one of them will flash.

3. Use d and u to move the flashing to the graph whose root you want to obtain and then press O.

This causes a cross pointer () to appear at the coordinates of the root and the coordinate values to appear at the bottom of the window. If there are multiple roots, you can use r and l to move the pointer to another root.



4. To exit graph analysis, press b.

The values that can be obtained using graph analysis are shown in the table below.

Trace displays a crosshair pointer () on a graph that you can use to read the coordinate values at a specific location. When S > [Derivative] is turned on, derivative coefficients are displayed along with the coordinate values.

Select T > [Trace].

The operations that can be performed while the trace function is enabled are described in the table below.

You can input a functional expression with five alpha variables included in the coefficients (such as $y=\mathrm{A}x+\mathrm{B}$) and then change the values of the variables (coefficient values) while the graph is displayed. This lets you see how changes in the coefficient values affect the appearance of the graph.

Example:  Input $y=\mathrm{A}{x}^2+\mathrm{B}x+\mathrm{C}$ and observe how the shape of the graph is affected when the coefficient values are changed. The initial values of A, B, and C are $\mathrm{A}=1$, $\mathrm{B}=0$, and $\mathrm{C}=0$.^*1

1. On the Function tab, input $y=\mathrm{A}{x}^2+\mathrm{B}x+\mathrm{C}$.

Select T > [Built-In Function] > [‎$y$‎=‎A$x$‎^2‎+B$x$‎+C] and then input the function.^*2

2. Turn off all other function expression graphing settings.

See To select a function to draw a graph and create a numeric table.

3. Press > to draw the graph.

4. Select T > [Modify] to enable modify.

The current values of A, B, and C and the step value are displayed in the lower-left corner of the graph window. You can change the value where the pointer (I) is currently located.

Use d and u to move the pointer (I) up and down.



5. Use l and r to change the value of A.

Each press of l or r changes the value of A by the step value. You can also use the number keys to enter values.

6. Press d to move the pointer (I) to B. Use l and r to change the value of B.

7. Press d to move the pointer (I) to C. Use l and r to change the value of C.

8. To exit modify, press b.

You can use sketch to draw dots, lines, and text within the graphing area. For example, to draw a tangent line on the graph of $y=x^2+1$, perform the steps below.

1. On the Function tab, input the function $y=x^2+1$ and then press > to graph it.

This example graphs $y=x^2+1$ only.

2. Select T > [Sketch] > [Tangent Line].

This draws a line that is tangent to $x=0$ of the $y=x^2+1$ graph. You can use l or r to change the coordinates of the point of tangency.

3. To view the coordinates of the point of tangency, press O.

This executed the tangent line drawing and displays a dot () with coordinate values at the point of tangency.

Now you can use l and r to change the coordinates of the point of tangency and add a tangent line by pressing O.

4. To exit sketch, press b.

 

The following table shows what you can do with sketch.

You can copy a function^* from another app, paste it onto the Graph tab and then graph it.

Example:  To copy $\text{(}x+\sqrt{2}\text{)}\text{(}x-\sqrt{2}\text{)}$, paste it onto the Graph tab, and then graph it

1. Use the Calculate app to input $\text{(}x+\sqrt{2}\text{)}\text{(}x-\sqrt{2}\text{)}$ and then copy the expression.

For details about the copy operation, see Copying, Cutting, and Pasting Expressions.

2. Start up the Graph&Table app and then press > to graph the expression.

3. Press s.(%).

This graphs $y=\text{(}x+\sqrt{2}\text{)}\text{(}x-\sqrt{2}\text{)}$.

You can use the Settings menu to configure settings for the graph drawing operation and the graph drawing display area. For details, see Settings Menu Details.

With the Table tab, you can edit the numbers in the $x$-column of a numeric table and also perform the operations below from the menu that appears when you press T.

The numeric table domain is specified by the value of the $x$-variable (or $\theta$, T) that is assigned to the function used to create the numeric table. The following two methods are available to specify a table domain.

1. While the numeric table is displayed, select one of the options below.

To draw a graph of coordinate dots only: T > [Graph Points]

To draw a graph by linking coordinate dots with straight line segments: T > [Graph Points (Joined)]

2. Use the View Window menu that appears to change display range settings as required.

For details, see Specifying the Display Range of the Graph Window (View Window).

3. Highlight and then press O.

This draws the graph on the Table tab.

One column of numeric table data can be saved to a list variable, which is specified by its number.

1. Move the cursor to the numeric table column you want to save to a list variable.

2. Select T > [Store List].

3. Use the dialog that appears to input a list variable number and then press O.

When S > [Table with Graph] is turned on, the numeric table window is displayed on the right of the Table tab, and the graph window is displayed on the left.

Nothing is drawn in the graph window immediately after you go from the Function tab or the Graph tab to the Table tab. Use the following operations to draw the graph.

Each time you select T > [Switch Active Window], the active window (the window that is affected by the operations you perform) toggles between the numeric table window and the graph window. The numeric table window is active when the cursor is displayed on the numeric table.

The operations below can be used while the numeric table window is active.

You can perform the operations below while the graph window is active.

1. Turn on S > [Table with Graph].

2. On the Function tab, input the function and then press < to go to the Table tab.

3. Select T > [Switch Active Window].

This makes the graph window active and draws the graph.

4. Select T > [Graph-Link].

This causes a crosshair pointer to appear on the graph at the coordinates that correspond to the numeric table cursor position.

Using d and u to move the numeric table cursor also causes the graph pointer to move accordingly.



5. To exit this operation, press b.