Question

Use the vertical line test to determine whether the relation graphed below is a function.

A coordinate grid is shown with four plotted points at the following locations: · left-parenthesis negative 4 comma 3 right-parenthesis · left-parenthesis negative 2 comma negative 1 right-parenthesis · left-parenthesis 1 comma 2 right-parenthesis · left-parenthesis 3 comma negative 2 right-parenthesis
(1 point)
Responses

yes
yes

no
no

cannot be determined
cannot be determined

Answer 1

To determine if the relation graphed below is a function, we need to use the vertical line test. The vertical line test states that if a vertical line can be drawn through a graph and it intersects the graph at more than one point, then the graph does not represent a function.

Looking at the graph with the plotted points, we can see that for every x-coordinate value, there is only one corresponding y-coordinate value. This means that no matter where we draw a vertical line on the graph, it will only intersect the graph at one point. Therefore, the relation is a function.

So the answer is: yes.