Question

For each graph state whether it’s a function

Answer 1

Graph 1, 4, 6 are functions.

Graph 2, 3, 5 are not functions.

Explanation:

If graph of a relation pass the vertical line test, then we can say the relation is a function.

In vertical line test, we draw a vertical line parallel to axis, if graph of relation intersect the line almost once, then we say in is a function.

To check, whether the given relation is function or not, draw verticals lines on each graph as shown below.

In graph 1, open circle means the value x=-1 is not include it that.

From the below figure it is clear that:

Graph 1, 4, 6 pass the vertical line test, so they represent functions.

Graph 2, 3, 5 does not pass the vertical line test, so they are not functions.