Determine whether the following graph represents a function

A graph may or may not represent a function depending on the relationship between the x and y values of the graph.

The given graph does not represent a function

From the graph, we observe that;

The same value of x points to the different values of y.

For instance:

When x = -6, the values of y are 3 and -3.

This is a many-to-one relation.

And a many-to-one relation does not represent a function.

Also, from the graph; there are several other values of x, that point to multiple values of y

Hence, the graph does not represent a function.

Read more about functions and relations at:

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No, it is not a function

Why not? Because the graph fails the vertical line test. It is possible to draw a single vertical line through more than one point on the graph. For instance, we can draw a vertical line through x = 1 on the x axis, and this vertical line crosses the curve at two different points.

A function is only possible if any input x leads to exactly one y output.

c is the correct answer

step-by-step explanation:

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