Q1: Plot 3 Of The Equations From The Prior Homework In Excel ✓ Solved
Q1: plot 3 of the equations from the prior homework in Ex
Plot 3 of the equations from the prior homework in Excel. Compute the table of values for x values from -10 to 10. Plot each graph, add the trend line, and show the equation of the line on the chart. Make 3 separate sheets, one plot on each sheet.
Paper For Above Instructions
Excel is a powerful tool for visualizing mathematical functions and relationships through graphing. To fulfill the requirements of this assignment, we will take several steps to create graphs for three selected equations, compute corresponding values, and format the charts correctly. For the sake of this example, we'll consider three equations:
- Equation 1: y = 2x + 1
- Equation 2: y = -0.5x + 3
- Equation 3: y = x² - 4
Each of these equations will be plotted over a range of x values from -10 to 10. The goal is to compute y values, create a table in Excel, and visualize each function with appropriate trends and details.
Step 1: Creating the Table of Values
First, we need to compute the y values for each equation using the specified x range from -10 to 10. We will proceed by calculating the values and organizing them in a tabular format. Below are the computed tables for each equation.
Table for Equation 1: y = 2x + 1
| x | y |
|---|---|
| -10 | -19 |
| -9 | -17 |
| -8 | -15 |
| -7 | -13 |
| -6 | -11 |
| -5 | -9 |
| -4 | -7 |
| -3 | -5 |
| -2 | -3 |
| -1 | -1 |
| 0 | 1 |
| 1 | 3 |
| 2 | 5 |
| 3 | 7 |
| 4 | 9 |
| 5 | 11 |
| 6 | 13 |
| 7 | 15 |
| 8 | 17 |
| 9 | 19 |
| 10 | 21 |
Table for Equation 2: y = -0.5x + 3
| x | y |
|---|---|
| -10 | 8 |
| -9 | 7.5 |
| -8 | 7 |
| -7 | 6.5 |
| -6 | 6 |
| -5 | 5.5 |
| -4 | 5 |
| -3 | 4.5 |
| -2 | 4 |
| -1 | 3.5 |
| 0 | 3 |
| 1 | 2.5 |
| 2 | 2 |
| 3 | 1.5 |
| 4 | 1 |
| 5 | 0.5 |
| 6 | 0 |
| 7 | -0.5 |
| 8 | -1 |
| 9 | -1.5 |
| 10 | -2 |
Table for Equation 3: y = x² - 4
| x | y |
|---|---|
| -10 | 96 |
| -9 | 77 |
| -8 | 60 |
| -7 | 45 |
| -6 | 32 |
| -5 | 21 |
| -4 | 12 |
| -3 | 5 |
| -2 | 0 |
| -1 | -3 |
| 0 | -4 |
| 1 | -3 |
| 2 | 0 |
| 3 | 5 |
| 4 | 12 |
| 5 | 21 |
| 6 | 32 |
| 7 | 45 |
| 8 | 60 |
| 9 | 77 |
| 10 | 96 |
Step 2: Creating the Graphs
To plot the graphs, you need to create three separate sheets in Excel. Follow these steps:
- Open Excel and create a new workbook.
- For each equation, input the generated tables in three separate sheets. You can do this by clicking on the "+" sign at the bottom of the Excel window to create a new sheet.
- Select the x and y values for the first equation and insert a chart. You can do this by going to the "Insert" tab and selecting the appropriate chart type (e.g., scatter plot or line chart).
- Ensure you add a trend line to the graph. Right-click the data series, select "Add Trendline," and then choose the type that fits your data best (linear for the linear equations, polynomial for the quadratic).
- Display the equation of the trend line on the chart by checking the appropriate box in the trendline options.
- Repeat these steps for the other two equations on their respective sheets.
Step 3: Final Touches
Once all graphs are plotted, make sure to label each chart adequately for clarity. Include titles such as "Graph of y = 2x + 1," "Graph of y = -0.5x + 3," and "Graph of y = x² - 4." Additionally, format the axes with appropriate labels and scales to enhance readability.
By following the outlined steps, you will have successfully created a visual representation of the three equations. This exercise not only improves your familiarity with Excel but also reinforces your understanding of how different equations are represented graphically.
Conclusion
Graphing equations and plotting their values in Excel is a critical skill in mathematics that allows for better comprehension of relationships between variables. It serves as a solid foundation for further studies in algebra, calculus, and data analysis. Remember to practice using different types of equations to become more proficient with Excel's capabilities in data visualization.
References
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