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Texas Instruments TI-84+ - User Manual

Texas Instruments TI-84+
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Using Tables on the TI-84+ Graphing Calculator
Default Tables:
Enter one or more functions into Y=.
Press 2nd WINDOW to access [tblset].
Change TblStart and the table increment Tbl if desired.
Press 2nd GRAPH to access [table].
The table of values is displayed for all active functions.
Use the UP/DOWN arrows to move through the values and
the RIGHT/LEFT arrows to change columns.
From this screen, press PLUS + to change the table increment,
instead of going back to [tblset] screen.
Dynamic Tables option 1:
To view the Y-values one at a time, use AUTO-ASK:
Press 2nd WINDOW to access [tblset].
Set the Independent variable to AUTO and the Dependent
variable to ASK.
Press 2nd GRAPH to access [table].
The table of values only displays the X-values initially. Arrow
to the desired Y-value column.
Move down the column, pressing ENTER to display the value
for each row. Repeat for additional columns.
This enables you to observe how a function grows or changes
as the X-value increases.
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Summary

Default Table Functionality

Accessing Table Setup Menu

Configure table settings like start value and increment via the [tblset] menu.

Viewing Default Calculator Tables

Display values for active functions by pressing 2nd GRAPH to access the table.

Navigating Table Data

Use arrow keys to move between cells and change columns; press PLUS to alter table increment.

Dynamic Table Modes

AUTO-ASK Mode for Dynamic Tables

View Y-values individually. Set Independent to AUTO, Dependent to ASK in [tblset].

Using AUTO-ASK Table View

Navigate to Y-column, press ENTER per row to reveal values one by one.

Manual X-Value Input Tables

Configuring ASK-AUTO Table Setup

Set Independent to ASK, Dependent to AUTO for manual X-value entry in [tblset].

Populating ASK-AUTO Tables

Enter specific X-values to generate corresponding Y-values for comparison.

Advanced Table Features

Graph-Table Split Screen Display

Combine graph and table views by selecting GRAPH-TABLE mode via the MODE menu.

Table Zooming for Precision

Reduce ATbl increment to analyze key points like intercepts and extrema more closely.

Summary

Default Table Functionality

Accessing Table Setup Menu

Configure table settings like start value and increment via the [tblset] menu.

Viewing Default Calculator Tables

Display values for active functions by pressing 2nd GRAPH to access the table.

Navigating Table Data

Use arrow keys to move between cells and change columns; press PLUS to alter table increment.

Dynamic Table Modes

AUTO-ASK Mode for Dynamic Tables

View Y-values individually. Set Independent to AUTO, Dependent to ASK in [tblset].

Using AUTO-ASK Table View

Navigate to Y-column, press ENTER per row to reveal values one by one.

Manual X-Value Input Tables

Configuring ASK-AUTO Table Setup

Set Independent to ASK, Dependent to AUTO for manual X-value entry in [tblset].

Populating ASK-AUTO Tables

Enter specific X-values to generate corresponding Y-values for comparison.

Advanced Table Features

Graph-Table Split Screen Display

Combine graph and table views by selecting GRAPH-TABLE mode via the MODE menu.

Table Zooming for Precision

Reduce ATbl increment to analyze key points like intercepts and extrema more closely.

Overview

This document outlines the various functionalities and usage features of the TI-84+ Graphing Calculator, specifically focusing on its table capabilities. The calculator offers several ways to generate and interact with tables of values for functions, enhancing the user's ability to analyze mathematical relationships.

Function Description

The TI-84+ Graphing Calculator allows users to input one or more functions into the Y= editor. Once functions are entered, the calculator can generate a table of corresponding X and Y values. This table functionality serves as a powerful tool for observing how functions behave, identifying key points, and comparing the outputs of multiple functions.

Usage Features

The calculator provides three primary modes for generating and interacting with tables: Default Tables, Dynamic Tables (Option 1: AUTO-ASK), and Dynamic Tables (Option 2: ASK-AUTO). Additionally, it offers a Graph-Table Split Screen view and a "Zooming In" feature for detailed analysis.

Default Tables:

This is the standard method for generating tables.

  • Setup: To configure a default table, users press 2nd WINDOW to access the [tblset] menu. Here, they can set the TblStart value, which determines the initial X-value in the table, and the table increment ΔTbl, which specifies the step size between consecutive X-values. The Indpnt (Independent variable) and Depend (Dependent variable) settings are typically set to Auto Ask for Indpnt and Auto Ask for Depend in this mode, meaning the calculator automatically generates X-values based on TblStart and ΔTbl, and automatically calculates the corresponding Y-values.
  • Viewing the Table: After setup, pressing 2nd GRAPH accesses the [table] screen, where the table of values for all active functions is displayed.
  • Navigation and Interaction: Users can navigate through the table using the UP/DOWN arrows to move between X-values and the RIGHT/LEFT arrows to switch between function columns (Y1, Y2, etc.). A unique feature in this mode is the ability to change the table increment directly from the table screen. By pressing PLUS +, users can adjust the ΔTbl value without needing to return to the [tblset] menu. This allows for quick adjustments to the table's granularity, which is useful for exploring function behavior in more detail.

Dynamic Tables (Option 1: AUTO-ASK):

This mode is designed for viewing Y-values one at a time, providing a more interactive way to explore function outputs.

  • Setup: To activate this mode, users press 2nd WINDOW to access [tblset]. The Indpnt variable is set to Auto, meaning the calculator automatically generates X-values. Crucially, the Depend variable is set to Ask, which means the Y-values will not be displayed automatically.
  • Viewing and Interaction: When 2nd GRAPH is pressed to access [table], only the X-values are initially displayed. To view a Y-value for a specific X-value, the user must navigate to the desired Y-value column using the RIGHT/LEFT arrows and then move down the column. Pressing ENTER for each row will then display the corresponding Y-value. This process must be repeated for additional columns if multiple functions are active. This feature is particularly useful for observing how a function's output changes as the X-value increases, allowing for a focused, step-by-step analysis.

Dynamic Tables (Option 2: ASK-AUTO):

This mode allows users to manually enter X-values and have the calculator automatically compute the corresponding Y-values.

  • Setup: To enable this mode, users press 2nd WINDOW to access [tblset]. The Indpnt variable is set to Ask, meaning the calculator will wait for user input for X-values. The Depend variable is set to Auto, ensuring that Y-values are automatically calculated once an X-value is provided.
  • Viewing and Interaction: When 2nd GRAPH is pressed to access [table], the table is initially blank. As the user enters an X-value and presses ENTER, the calculator automatically fills in the corresponding Y-values for all active functions in all columns. This feature is highly versatile. It enables users to:
    • Set any arbitrary X-value to investigate specific points of interest.
    • Compare Y-values for multiple functions at the same X-value, which is useful for determining which function reaches a target value first.
    • Predict a Y-value for a given X-value, aiding in understanding function rules and making estimations.

Other Options:

Graph-Table Split Screen:

The calculator offers a split-screen view that simultaneously displays both the graph of a function and its corresponding table of values.

  • Activation: To activate this feature, users press MODE and select GRAPH-TABLE from the display options.
  • Interaction: In this split-screen mode, the graph side becomes active when TRACE or CALC tools are used, allowing for graphical analysis. The table side becomes active when 2nd GRAPH is pressed for TABLE, enabling table-based analysis. This integrated view is excellent for visualizing the relationship between a function's graphical representation and its numerical values, providing a comprehensive understanding of its behavior.

Zooming In with the Table:

This feature allows for detailed examination of specific intervals within a function's table, particularly useful for identifying key points like intercepts and extrema.

  • Process: When analyzing a function, users first identify an interval of X-values that contains a key point (e.g., where a sign change in Y-values indicates an X-intercept). Once the interval is identified, the user returns to the [tblset] menu (or uses the PLUS + shortcut in Default Tables mode) and chooses a smaller ΔTbl increment, such as 0.1 or 0.01. This effectively "zooms in" on the table, providing more granular data within the chosen interval.
  • Example: For a function like Y = x² – 3x − 1, if a sign change in Y-values is observed between x = 3 and x = 4, "zooming in" by setting ΔTbl to 0.1 would reveal that the X-intercept lies between 3.3 and 3.4, and is closer to 3.3. This iterative process of narrowing down the interval and decreasing the ΔTbl allows for precise localization of critical points.

Maintenance Features

The document does not explicitly detail maintenance features for the TI-84+ Graphing Calculator. However, the consistent use of menus like [tblset] for configuration and Y= for function input implies a structured and user-friendly interface that simplifies managing the calculator's settings and functions. The ability to easily adjust table parameters and switch between different table modes contributes to the overall usability and adaptability of the device, indirectly supporting its long-term utility by making it easy to configure for various tasks. The clear navigation instructions and visual cues (like the NORMAL FLOAT AUTO REAL RADIAN MP indicator) help users understand the calculator's current state and make appropriate adjustments, which is crucial for effective and error-free operation.

Texas Instruments TI-84+ Specifications

General IconGeneral
Screen Resolution96 x 64 pixels
Power Source4 AAA batteries
ConnectivityI/O port
ProgrammingTI-BASIC
AppsYes, pre-loaded and downloadable
ProcessorZilog Z80
Weight7.4 oz (210 g)

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