Does the graph represent a function?
![Does the graph represent a function class=](https://us-static.z-dn.net/files/d41/e8640fda93a9610bb7e3f2f4d66adc6a.jpg)
Answer:
The graph doesn't represent a function.
Step-by-step explanation:
Consider the provided graph.
A graph is said to be a function if for each value of x we can get different y value or each input (x) has a single output (y).
Now, observe the graph.
The value x = -5 is related to more than one value of the y.
For x = -5 we have different y values.
For example (-5,0), (-5,1), (-5,2),(-5,3) all these values satisfy the graph. Thus the graph is not a function.
We can prove it by a vertical line test.
Vertical line test: If a vertical line intersects the graph more than once, then the graph is not a function.
Now if we draw a vertical line at x=-5 it will intersect the graph more than once, therefore, the provided graph is not a function.
Hence, the graph doesn't represent a function.