Question

Drag the correct classification for each graph into the boxes to complete the table.

Answer 1

1st graph - Odd Function

2nd graph - Neither odd nor even function

3rd graph - Even Function

Explanation:

We know that,

Even functions are the functions whose graphs are symmetric with respect to y-axis.

Odd functions are the functions whose graphs are symmetric with respect to the origin.

From the options, we have that,

1st graph is symmetric about the origin and is the graph of the line
`f(x)=x`.

So,
`f(-x)=-x=-f(x)`

The first graph is the graph of an odd function.

2nd graph can be seen that is neither symmetric about the y-axis nor the origin.

The second graph is neither and odd function nor an even function.

3rd graph is symmetric about the line of the form
`y=c`, where 'c' is some constant.

The third graph is the graph of an even function.

Answer 2

an even function has a graph that is symmetric about the Y axis
and odd function is symmetric about the x axis
1st graph = odd
2nd graph = neither
3rd graph = even