which of the following graphs is a function?

An easy way to tell whether a graph is a function or not is to employ the verical line test. If you see any two y values that correspond to one x value, that means it is not a graph of a function, but rather a relation. In a we see that if we were to scan a vertical line from the left to right, there would be a point where an x value corresponds to two y values, which is at 2 to the left from the origin. In graph c you can find an x value that correspons to more than one y value at the origin, the same with graph b. With graph d, though, we see that all x values corresponds to only one y value so that graph is the one that is a function.

oeerivona oeerivona · Answer 2 · 2021-09-23T13:53:26+02:00

A function is a relationship between two sets or groups that maps each one of the elements contained in the first set to exactly one of the elements of the second set

The graph represents a function is graph d

The reason the option d is correct is as follows:

A function, that maps x-values to y-values, is one such that, each x-value has exactly one y-value. Therefore, a vertical line drawn at each x-value of a function intersects the graph at exactly one point, which gives;

The only graphs which is a function is the graph d, given that each vertical line intersects the graph only once, at each x-value, and in which there are no two points that have the same x-value or lay on the same vertical line

The graph that is a function is graph d

Learn more about functions here:

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