determine whether the following graph represents a function

Answer: 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.
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:
[tex](x,y) \to (-6,3)[/tex]
[tex](x,y) \to (-6,-3)[/tex]
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.
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