TI84 Graph a line and find table of values

T Marshall
26 Sept 201004:44
EducationalLearning
32 Likes 10 Comments

TLDRThis podcast tutorial demonstrates how to input an equation into a graphing calculator and utilize the table of values to accurately plot it on a graph. The host begins by showing how to enter the equation y = 3x + 3 and adjust the calculator's window settings for a standard view. They then explain how to set the window to match a specific graph's range and scale. The process of accessing the table of values to plot points and draw lines is detailed, ensuring the graph is precise. The tutorial also covers plotting multiple equations on the same graph and adjusting the window settings to accommodate different scales, providing a comprehensive guide to graphing equations using a calculator.

Takeaways
  • 📚 The podcast is a tutorial on how to input an equation into a graphing calculator and use it to plot a graph.
  • 🔍 The presenter starts by explaining how to input the equation 'y = 3x + 3' into the calculator using the 'Y=' button.
  • 📏 To view the equation, the presenter uses 'Zoom 6' for a standard view and 'Zoom 5' to adjust the x and y scales for proportionality.
  • 🖼️ The script discusses the importance of setting the graph window to match the desired range, such as -4 to 4 for both x and y axes.
  • 🛠️ The presenter demonstrates how to reset the window settings to fit the graph within the specified range.
  • 📈 To plot the equation accurately, the presenter suggests using the table of values feature to find points that fit on the graph.
  • 📊 The table of values is accessed by pressing '2nd' followed by 'Graph', allowing the user to scroll through and select appropriate points.
  • 🔄 The presenter also covers how to plot multiple equations on the same graph, such as 'y1 = 3x + 3' and 'y2 = -2x - 6'.
  • 🔢 The process of adjusting the window settings to accommodate both equations and their respective ranges is explained.
  • 📝 The importance of using the table of values to ensure all points fit on the graph and to accurately plot the lines is highlighted.
  • 🎨 Finally, the presenter shows how to view and utilize the table of values for both equations to complete the graphing process.
Q & A

  • What is the main purpose of the podcast?

    -The main purpose of the podcast is to demonstrate how to input an equation into a graphing calculator, use the table of values, and plot it correctly on a graph.

  • Which button is used to start inputting an equation on a graphing calculator?

    -The 'Y=' button is used to start inputting an equation on a graphing calculator.

  • What is the first equation demonstrated in the podcast?

    -The first equation demonstrated is y = 3x + 3.

  • How can you ensure that the x's and y's are in proportion on the graph?

    -You can ensure that the x's and y's are in proportion by using the 'ZoomSquare' function on the graphing calculator.

  • What is the significance of resetting the window in the graphing calculator?

    -Resetting the window allows you to set the range and scale of the x and y values to match the specific requirements of the graph you are plotting.

  • What is the purpose of the table of values in graphing equations?

    -The table of values is used to find specific points that correspond to the equation, which can then be plotted on the graph for accurate representation.

  • How do you access the table of values on a graphing calculator?

    -To access the table of values, you press the '2nd' button followed by the 'Graph' button.

  • What is the second equation added to the graph in the podcast?

    -The second equation added to the graph is y2 = -2x - 6.

  • How can you plot multiple equations on the same graph?

    -You can plot multiple equations by defining each equation (e.g., y1, y2) and then pressing the 'Graph' button to display all equations on the same graph.

  • Why is it necessary to adjust the window settings before plotting?

    -Adjusting the window settings ensures that the graph's scale and range are appropriate for the equations being plotted, making the graph accurate and readable.

  • How does the podcast suggest covering all the values that fit on the graph?

    -The podcast suggests using the up arrow key to navigate through the table of values and select all the points that fit within the graph's window settings.

Outlines
00:00
📚 Introduction to Graphing Equations

This paragraph introduces the tutorial's aim to demonstrate how to input an equation into a graphing calculator and use the table of values to plot it accurately. The speaker begins by accessing the 'Y equals' function on the calculator and enters the equation y = 3x + 3. They explain the importance of adjusting the calculator's zoom to ensure a standard view and a square window for accurate representation of the equation's slope. Additionally, they discuss resetting the window settings to fit the graph's x and y ranges and how to plot the equation accurately within those settings.

📈 Plotting Equations and Adjusting Window Settings

In this paragraph, the speaker describes the process of plotting the equation on a graph with specific x and y ranges. They mention the need to reset the window to match the graph's scale and explain how to use the 'graph' key without erasing the window settings. The paragraph also covers the importance of obtaining the table of values to plot points accurately on the graph. The speaker provides an example of plotting the equation y = 3x + 3 within the given x and y ranges and suggests using the table of values to ensure precision.

🔍 Using the Table of Values for Accurate Plotting

The speaker elaborates on how to use the table of values to plot points for the equation y = 3x + 3. They demonstrate accessing the table function and selecting appropriate values that fit within the graph's window. The paragraph details the process of plotting these points and drawing a line through them to represent the equation accurately. It also touches on the possibility of having to plot multiple equations on the same graph, providing a brief overview of how to do so.

📉 Adding a Second Equation to the Graph

This paragraph focuses on adding a second equation, y = -2x - 6, to the graph. The speaker guides through entering this equation as Y2 and then plotting it alongside the first equation. They explain how to adjust the window settings to accommodate both equations and ensure that the graph accurately reflects the x and y scales. The paragraph concludes with the speaker using the table of values for both equations to plot the points and demonstrate how to cover all the necessary values within the graph's range.

Mindmap
Keywords
💡Graphing Calculator
A graphing calculator is an electronic device used to graph mathematical functions and solve complex equations. It is central to the video's theme, which is demonstrating how to input equations into a graphing calculator to visualize them. The script mentions using the calculator's 'Y equals' button to input equations, indicating its importance in the process.
💡Equation
In mathematics, an equation is a statement that asserts the equality of two expressions. In the context of the video, equations are the mathematical expressions that the presenter is teaching viewers how to input into a graphing calculator. The script provides examples of equations like 'y = 3x + 3' and '-2x - 6', which are the core content being graphed.
💡Zoom
The term 'Zoom' in the video refers to a function on the graphing calculator that allows the user to adjust the viewing window of the graph. It is used to provide a standard view or to make the x and y axes proportional, which is crucial for accurately representing the equation's slope. The script mentions 'Zoom six' for a standard view and 'Zoom five' for a square view.
💡Window Settings
Window settings on a graphing calculator define the range and scale of the x and y axes for the graph. The video emphasizes the importance of setting these correctly to match the desired graph dimensions. The script describes resetting the window to fit the graph within a specific range from -4 to 4 for both x and y axes.
💡Table of Values
A table of values is a list of x and y coordinates that correspond to points on the graph of an equation. In the video, the presenter uses the table of values to plot points and draw lines accurately on the graph. The script mentions accessing the table by pressing 'second graph' and then 'table' to view the values that fit on the graph.
💡Plotting
Plotting in the context of the video refers to the act of marking points on a graph based on the values derived from an equation. It is a fundamental step in graphing equations, as it allows for the visual representation of the mathematical relationship. The script describes plotting points by using the table of values to draw lines through them.
💡Slope
Slope is a measure of the steepness of a line, and in the video, it is mentioned in relation to the appearance of the graph when the x and y axes are proportional. The correct representation of slope is important for accurately graphing linear equations, as seen when the presenter uses 'Zoom five' to adjust the view.
💡Y1 and Y2
In the context of graphing calculators, Y1 and Y2 are typically used to represent different equations or functions that can be graphed simultaneously. The video script describes how to input and graph two different equations, '3x + 3' under Y1 and '-2x - 6' under Y2, on the same graph for comparison.
💡Reset
The 'Reset' function on a graphing calculator clears previous inputs and settings, allowing the user to start fresh. In the video, the presenter uses the reset function to clear keystrokes and window settings before setting up a new graph, which is crucial for accurately plotting new equations.
💡Graph Key
The graph key is a button or function on a graphing calculator that allows the user to view and interact with the graph. In the script, the presenter mentions hitting the 'graph key' to display the graph after setting the window and inputting the equations, which is the final step before plotting the points.
Highlights

Introduction to the podcast on how to use a graphing calculator to plot equations.

Explanation of the 'Y equals' button for entering equations on a graphing calculator.

Demonstration of inputting the equation y = 3x + 3 into the calculator.

Use of the 'Zoom' feature to adjust the calculator's view for a standard equation view.

Importance of a square window for accurate representation of the equation's slope.

Instructions on resetting the window settings to match a given graph's range.

Guidance on setting the x and y scales to match the graph's requirements.

How to avoid erasing window settings when switching to graph mode.

Process of obtaining a table of values for plotting points on the graph.

Method to plot points and draw lines accurately on the graph.

Discussion on adding a second equation to the graph.

Entering a second equation, y2 = -2x - 6, on the graphing calculator.

Adjusting the graph window to accommodate multiple equations.

Explanation of the graph window settings for a range from -8 to 8.

Final step of viewing both equations on the graph with the correct table of values.

Highlighting the importance of covering all values that fit on the graph.

Conclusion of the podcast with a summary of the steps taken to plot equations.

Transcripts

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Graphing CalculatorEquation PlottingMath TutorialTable of ValuesZoom SettingsLinear EquationsEducational ContentMathematics GuideY-Equals FunctionPlotting Points