A line on a graph has the points (-4, 0) (-3, 2.5) (-1, 0) (0, -2) (1, -2.5) (2, 0) (-5, -6) and (3, 6) . is this a function? is it linear?

Answer 1

This set of points does not represent a function because for some values of x, there are multiple y values associated with it (e.g., x=-4 has two y values, y=0 and y=-6).

To determine if the set of points forms a linear function, we can plot the points on a graph and see if they form a straight line. If the points do not lie on a straight line, then the set of points do not form a linear function.

Upon plotting the points on a graph, we can see that the points do not form a straight line, therefore, the set of points does not represent a linear function.