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
The vertical line test is used to determine if a relation is a function. If a vertical line can be drawn that intersects the graph in more than one point, then the relation is not a function. If the vertical line only intersects the graph at one point, then the relation is a function.
Looking at the graph of the plotted points, if a vertical line is drawn, it can be seen that for every x-value, there is only one y-value. Therefore, the relation is a function.
The correct response is: yes
To use the vertical line test, we draw vertical lines through the graph and see if the line intersects the graph in more than one point. If it does, then the relation is not a function.
Looking at the graph with the plotted points, we can see that for each x-value, there is only one y-value. Therefore, a vertical line drawn through the graph will only intersect the graph at one point for each x-value.
Based on this observation, we can conclude that the relation graphed is a function. So the answer is: yes.