To predict f(5) using Desmos, the following steps can be followed:
1. Go to the Desmos website (www.desmos.com) and open the graphing calculator.
2. Create a table by clicking on the "+ Table" button on the left-hand side.
3. Enter the given data points in the table. The table should have two columns: one for x-values and one for y-values. Assume the given data points are:
x: 1, 2, 3, 4
y: 1, 3, 4, 6
The table should now look like this:
| x | y |
|-----|---|
| 1 | 1 |
| 2 | 3 |
| 3 | 4 |
| 4 | 6 |
4. Plot the points on the graph by clicking on the "Add Item" button and choosing "Table."
5. Determine the line of best fit by clicking on the "+" button on the top menu and choosing "Line" under "Basic" category.
6. Adjust the line to best fit the points by dragging the line using the mouse.
7. Once the line is placed, the equation of the line will be displayed at the top of the graph.
8. Use the equation of the line to predict f(5).
Example: If the equation of the line is y = 1.5x + 0.5, then for x = 5, f(5) can be calculated by substituting x = 5 in the equation:
y = 1.5(5) + 0.5
= 7.5 + 0.5
= 8
Therefore, the predicted value of f(5) is 8.
Note: The specific equation of the line may vary based on the placement of the line of best fit on the graph.
Use desmos, the following table, and the line best fit to predict f(5)
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