Use the vertical line test to determine if the relation is a function.
(-4,1) (-3,2) (1,1) (1,2) (3,4)
Part 1) Is this relation a function?
Yes, it is a function.
There is not enough information to determine if it is a function.
No, it is not a function
Yes, it is a function.
Part 2) If it is not a function, explain why.
It is not a function because the x value (-4) has two different outputs.
It is not a function because the x value (1) has two different outputs.
It is not a function because the x value (5) has two different outputs.
It is a function
because each x value corresponds to a unique y value.
To determine if a relation is a function, we can use the vertical line test. The vertical line test states that if a vertical line passes through more than one point on the graph, then the relation is not a function. On the other hand, if every vertical line passes through at most one point on the graph, then the relation is a function.
In this case, let's plot the given points on a graph:
(-4,1) (-3,2) (1,1) (1,2) (3,4)
Based on the coordinates, we can plot these points:
Now, let's draw vertical lines through the points:
We can see that every vertical line passes through at most one point on the graph. Therefore, the relation is a function.
So, the answer to Part 1 is: Yes, it is a function.