Each of the following tables defines a relationship between an input x and an output y. which of the relationships do not represent functions? table a x -8 -3 0 6 y 24 4 9 72 table b x 9 15 24 38 y -14 -16 53 29 table c x 15 24 24 100 y -16 53 29 7 table d x -8 -5 0 6 y 24 4 9 72 a. table a b. table b c. table c d. table d

In order to be a function, a set of points on a graph must pass the straight line test. If you slide a pencil across the graph, it will hit the line in only one place at a time. For this to happen, you can only have one value for X at a time with the value of Y. Table C has two X values of 24 with Y values of 53 and 29. Since it has two X values which are the same and with different Y values, it is not a function.