Question

Which graph represents an odd function?

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Which graph represents an odd function?

Answer 1

The first graph.

Step-by-step explanation:

A function is odd if

`f(-x)=-f(x)`

Now the graph of an odd function is as follows. The portion on the left side, for example, can be obtained by reflecting the right-hand portion about the x-axis.

An example of an odd function is the following.

Now the challenge with the graphs given is that they are represented by dots and not continouous curves. Therefore, we have to look at the dots to see the ones on the left hand side are a flipped version of the ones on the right -hand side.

In the graph marked above, the right-hand side is a flipped version of the left-hand side; therefore, this graph is the graph of an odd function.