Question

Which graph represents a function?

Answer 1

The fourth one because to know if it is a function or not it has to pass the vertical line test the first one when you draw a vertical line some of the lines repeats so does the second and third but the last one when you draw a vertical line it doesn't repeat s that means its a function

Answer 2

Answer: The correct graph is the last one. Its image is attached.

Step-by-step explanation:  

We are given the figures of four different graphs. We are to select the one which represents a function.

On a graph paper, a function is defined as follows:

FUNCTION:  A graph on the co-ordinate plane represents a function if one value of 'x' corresponds to only one value of 'y'

That is, one value of 'x' cannot give two different values of 'y'.

We can see that

In graph (1), x = 1 corresponds to y = 3, -2.

In graph (2), x = 2 corresponds to y = 2, -2.

In graph (3), x = -3 corresponds to y = 2, -2.

So, these three graphs does not represent functions.

But, in graph (4), one value of 'x' gives only one value of 'y'.

For example, if x = 1, then y =  0

                       if x = 0, then y = 0, etc.

Therefore, graph (4) represents a function. Its image is attached.