TI 84 Plus CE Calculator Find the X and Y Intercepts

Robert Wilson
23 Oct 201504:16
EducationalLearning
32 Likes 10 Comments

TLDRIn this instructional video, Rob demonstrates how to find the X and Y intercepts of the polynomial equation x^2 - x - 6 using the graphing capabilities of the TI 84 Plus CE Calculator. He guides viewers through entering the equation, graphing it, and using the calculator's trace feature to locate the intercepts visually and confirm their values. The video also explains how to reset the graphing window to standard view and how to find the Y intercept by setting x to zero. Rob encourages viewers to subscribe for more educational content.

Takeaways
  • 📚 The video demonstrates how to find the X and Y intercepts of a function using the TI 84 Plus CE Calculator.
  • 🔍 The example function used is a polynomial equation: \( x^2 - x - 6 \).
  • 📱 The first step is to graph the equation using the calculator's graphing feature.
  • 🔗 Additional help on graphing can be found in a linked video titled 'How to Graph a Polynomial Function (Equation) on the TI 84 Plus CE'.
  • 📝 To enter the equation, use the 'y=' key, followed by 'X^2', then '-' and 'X', and finally '-' and '6'.
  • 📊 Press the 'Graph' key to visualize the graph, and if necessary, reset the graphing window to the standard view using 'Zoom -> ZStandard'.
  • 👀 Visually, the graph crosses the x-axis at -2 and 3, which are the suspected x-intercepts.
  • 🔍 To confirm the x-intercepts, use the calculator's '2nd' and 'trace' functions, followed by '2: zero' to find the exact points.
  • ➡️ Set bounds to the left and right of the suspected intercepts and let the calculator calculate the precise x-intercepts.
  • 📌 The x-intercepts are confirmed as (-2,0) and (3,0) after using the calculator's trace function.
  • 📈 To find the y-intercept, use the '2nd' and 'trace' functions again, select '1: value', and input 'x=0' to find the y-intercept at y=-6.
  • 👍 The video concludes with an encouragement to like and subscribe for more educational content.
Q & A

  • What is the purpose of the video?

    -The purpose of the video is to demonstrate how to find the X and Y intercepts of a function using the graphing feature of the TI 84 Plus CE Calculator.

  • Which polynomial equation is used in the video?

    -The polynomial equation used in the video is x squared minus x minus 6.

  • What key should be pressed first on the calculator to enter the equation?

    -The y= key on the top left of the calculator should be pressed first to enter the equation.

  • How does one enter the exponent for x in the equation on the calculator?

    -To enter the exponent for x, press the exponent key which moves the cursor to the exponent position, then enter 2.

  • What key is used to graph the equation on the calculator?

    -The Graph key located in the upper right is used to graph the equation.

  • How can you reset the graphing window to the standard view on the TI 84 Plus CE Calculator?

    -To reset the graphing window to the standard view, press the Zoom button, go down to number 6: ZStandard, and press Enter.

  • What are the X intercepts of the graphed equation according to the visual inspection?

    -The visual inspection suggests that the graph crosses the x-axis at negative 2 and positive 3, which would be the x-intercepts.

  • How can you confirm the x-intercepts using the calculator?

    -To confirm the x-intercepts, press the 2nd key then the trace key, go to number 2: zero, and follow the on-screen prompts to set bounds and find the intercepts.

  • What is the process to find the y-intercept using the calculator?

    -To find the y-intercept, press the 2nd key then the trace key, select 1:value, type a zero after 'x=', and press enter to find the y-intercept when x equals zero.

  • What are the coordinates of the x-intercepts found using the calculator?

    -The coordinates of the x-intercepts found using the calculator are (-2,0) and (3,0).

  • What is the y-intercept of the function according to the video?

    -The y-intercept of the function is y equals negative 6, or (0,-6).

  • How can viewers get more help on using the graphing feature of the calculator?

    -Viewers can get more help by watching the video titled 'How to Graph a Polynomial Function (Equation) on the TI 84 Plus CE', which will be linked in the description below the current video.

Outlines
00:00
📊 Introduction to Finding Intercepts on the TI 84 Plus CE Calculator

Rob introduces the video topic, explaining that he will demonstrate how to find the X and Y intercepts of a function using the graphing feature of the TI 84 Plus CE Calculator. The example polynomial equation used is x squared minus x minus 6. Rob mentions a previous video on how to graph a polynomial function on this calculator and provides a link in the description.

🔢 Entering the Equation into the Calculator

Rob guides viewers through the process of entering the polynomial equation into the calculator. He instructs to press the y= key, enter X, use the exponent key for X squared, and complete the equation with -X and -6. After entering the equation, he directs to press the Graph key to display the graph on the screen.

🔍 Adjusting the Graphing Window

Rob explains how to adjust the graphing window if the graph doesn't appear as expected. He instructs to press the Zoom button, select option 6: ZStandard, and press Enter to reset the graphing window to the standard view. This ensures the graph of the polynomial equation is correctly displayed.

📉 Finding X Intercepts

Rob demonstrates the steps to find the x intercepts using the calculator. He shows how to use the Calculate window, set left and right bounds, and confirm the x intercepts at x = -2 and x = 3 by skipping the guess step and pressing Enter. The calculator confirms the intercepts at (-2,0) and (3,0).

🔎 Finding the Y Intercept

Rob explains how to find the y intercept of the polynomial function. He instructs to press the 2nd key, then the trace key, select option 1: value, and enter 0 for x. The calculator displays the y intercept at y = -6, confirming the point (0,-6).

👍 Conclusion and Call to Action

Rob concludes the video by summarizing the steps to find the X and Y intercepts using the TI 84 Plus CE Calculator. He encourages viewers to like the video, give it a thumbs up, and subscribe to the channel for more helpful content.

Mindmap
Keywords
💡TI 84 Plus CE Calculator
The TI 84 Plus CE Calculator is a graphing calculator produced by Texas Instruments, known for its advanced features and capabilities in mathematical computations and visualizations. In the context of the video, it serves as the primary tool for demonstrating how to find the X and Y intercepts of a given polynomial function. The script specifically mentions its graphing feature, which is essential for visualizing the function and identifying the intercepts.
💡Polynomial Equation
A polynomial equation is an algebraic expression that involves a finite number of terms, each term consisting of a constant multiplied by a power of the variable. In the video, the polynomial equation given is x^2 - x - 6, which is a quadratic equation. The video's main theme revolves around finding the X and Y intercepts of this specific polynomial equation using the TI 84 Plus CE Calculator.
💡Graphing
Graphing is the process of visually representing data or functions on a coordinate plane. In the video, graphing is a key step to visualize the polynomial equation and find its intercepts. The script describes how to graph the equation on the TI 84 Plus CE Calculator and how to adjust the graphing window for a clear view of the intercepts.
💡X Intercepts
X intercepts, also known as zeros or roots, are the points where a graph of a function crosses the x-axis. They are the solutions to the equation when the function equals zero. The video script provides a step-by-step guide on how to find the x intercepts of the polynomial equation x^2 - x - 6 using the graphing calculator, which are at x = -2 and x = 3.
💡Y Intercept
The y intercept is the point where the graph of a function crosses the y-axis. It represents the value of the function when x equals zero. In the video, the y intercept is found by setting x to zero in the equation and calculating the corresponding y value, which in this case is y = -6.
💡Graphing Window
The graphing window refers to the specific area of the coordinate plane that is displayed on the screen. The script mentions resetting the graphing window to the standard view using the ZStandard command, which ensures that the intercepts are visible and accurately represented.
💡Zoom Standard
Zoom Standard is a command on the TI 84 Plus CE Calculator that resets the graphing window to its default settings. The script uses this command to ensure that the graph is displayed in a way that makes it easy to identify the X and Y intercepts.
💡Trace Function
The trace function on the TI 84 Plus CE Calculator allows the user to move a cursor along the graph to explore specific points or values. In the video, the trace function is used to find the exact coordinates of the X and Y intercepts by navigating to the points where the graph crosses the axes.
💡Visual Confirmation
Visual confirmation refers to the process of using the graph's visual representation to verify or identify certain features, such as intercepts. The script mentions using the graph to visually confirm the x intercepts before using the calculator's trace function to find the exact coordinates.
💡Calculator Commands
Calculator commands are the specific buttons or sequences of keys that are pressed to perform certain actions on the calculator. The script provides detailed instructions on the commands needed to graph the equation, reset the graphing window, and use the trace function to find the intercepts, such as pressing 'y=', '2nd', 'trace', and 'ZStandard'.
Highlights

Introduction to finding X and Y intercepts using TI 84 Plus CE Calculator.

Demonstration of graphing the polynomial equation x^2 - x - 6.

Instructions on using the graphing feature of the calculator with a helpful video link.

Step-by-step guide to entering the equation into the calculator.

How to navigate the calculator's exponent and cursor functions.

Pressing the Graph key to visualize the equation's graph.

Advice on resetting the graphing window to the standard view for clarity.

Visual identification of x-intercepts at -2 and 3 on the graph.

Confirmation of x-intercepts using the calculator's trace feature.

Detailed process of setting bounds to find the x-intercept at x = -2.

Repeating the process to find the second x-intercept at x = 3.

Efficient method to find the y-intercept by setting x to zero.

Final confirmation of the y-intercept at y = -6.

Conclusion summarizing the process of finding intercepts on the TI 84 Plus CE Calculator.

Encouragement for viewers to like and subscribe for more educational content.

Transcripts

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Calculator TutorialGraphing FeaturesPolynomial EquationX InterceptsY InterceptEducational ContentMathematics HelpVisual LearningCalculator GuideTI 84 Plus CE