Create a table of data for two different linear functions. The table should use the same values of x for both functions. Based on your table, will the graphs of these two functions intersect? Explain your answer. Create an unique answer

Question

Create a table of data for two different linear functions. The table should use the same values of x for both functions. Based on your table, will the graphs of these two functions intersect? Explain your answer. Create an unique answer

Answer 1

Linear Function 1: y = 2x + 1

Linear Function 2: y = -3x + 4

Table of Data:
| x | y1 | y2 |
|---|-----|-----|
| 0 | 1 | 4 |
| 1 | 3 | 1 |
| 2 | 5 | -2 |
| 3 | 7 | -5 |
| 4 | 9 | -8 |

Based on the table, the graphs of these two functions will intersect. This can be determined by observing that for each value of x, the corresponding values of y1 and y2 in the table are different. Since there are no x-values for which y1 and y2 are equal, the graphs of these two linear functions will intersect at some point.