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:
<u>FUNCTION:</u> 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.