Which graph represents an even function?

Graph 4 is an Even function.

Solving this question means we have to find out the meaning of an even function graph.

By definition, a graph that represents an even function is usually one where the points are symmetric about the y-axis. This means the y-coordinate to a point on the left of the y-axis must be mirrored as the same on the point to the right.

Let's look at the graphs in the options;

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last graph

Step-by-step explanation:

Graphs of functions that are ODD, are symmetric about the origin.

Graphs of function that are EVEN, are symmetric about y-axis.

We need to figure out which one of the 4 are EVEN. So we take y-axis as the mirror and see both sides, LEFT and RIGHT and see i the points are symmetric or not.

Graph 1, 2, 3    not symmetric about y-axis

Graph 4    Definitely every point to left side of y-axis has a corresponding mirror point to the right of y-axis. So this is an EVEN FUNCTION.