Question

Which table does NOT represent a linear function

Answer 1

TABLE D does NOT represent a linear function

Explanation:

The Table is shown below. Each table is a relationship between two variables, namely x and y. By plotting each table in a graphing tool we get:

TABLE A, FIRST FIGURE:

It is a linear function because we can draw a line that passes through all the points. By using two points, this line has a slope:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ m=\frac{8-5}{-1-0} \\ \\ m=-3$

TABLE C, SECOND FIGURE:

It is a linear function because we can draw a line that passes through all the points. By using two points, this line has a slope:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ m=\frac{5-10}{-1-0} \\ \\ m=5$

TABLE C, THIRD FIGURE:

It is a linear function because we can draw a line that passes through all the points. By using two points, this line has a slope:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ m=\frac{1-2}{-1-0} \\ \\ m=2$

TABLE D, FOURTH FIGURE:

It is not a linear function. It is likely this is a parabola that opens downward.

Learn more:

Linear function: brainly.com/question/12560127

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