create a table of data for two different linear functions. The table should use the same...

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 graph of these two functions intersect explain your answer

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Expert Solution

$First Instance$


1	5	5
2	8	7
3	11	9
4	14	11
5	17	13


1	5	5	0
2	8	7	-1
3	11	9	-2
4	14	11	-3
5	17	13	-4

$\\*$In this particular case, the values are changing. The values of the differences between the two linear function at the points $x=1,2,3,4 $ $\& $ $5$ are $0,-1,-2,-3$ $ \& $ $-4.$ Hence we conclude that the two functions will intersect$$

$Instance 2$


1	5	6
2	8	9
3	11	12
4	14	15
5	17	18


1	5	6	1
2	8	9	1
3	11	12	1
4	14	15	1
5	17	18	1

$\\*$In this particular case, the values are not changing. The values of the differences between the two linear function at the points $x=1,2,3,4 $ $\& $ $5$ are $1,1,1,1 $ $ \& $ $1.$ Hence we conclude that the two functions will not intersect$$

Colby Messinger answered 1 year ago

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