Question

(-1,3) (-1,2) (0,4) (4,2) Graph the relation shown in the table. Is the relation a function? Why or why not? No; a horizontal line passes through two graphed points. Yes; no horizontal line passes through two graphed points. Yes; no vertical line passes through two graphed points. No; a vertical line passes through two graphed points.

Answer 1

The graph of this relation is four points on the coordinate plane (see attached diagram).

A function is a special relation, where each input x has a single output y.

This relation is not a function, because for one x (x=-1), here are two different possible y (y=3 or y=2). If you consider the graph, you can see that there will be vertical line passing through the points (-1,3) and (-1,2). This means that option D is true.