PLEASE HELP!!! Determine whether this relation is a function, state its domain and range.
{(-3,0), (-1,1), (0,1), (4,5), (0,6)}
oh -- and stop reposting right away.
oobleck already answered this. (0,1) and (0,6)
Sketch a graph.
To determine whether the given relation is a function, we need to check if each unique input (x-value) has only one corresponding output (y-value). If every input in the relation has only one output, then the relation is a function.
Let's analyze the given relation:
{(-3,0), (-1,1), (0,1), (4,5), (0,6)}
1. First, let's check for any repeating x-values. We can see that (-3,0), (-1,1), and (4,5) all have different x-values, so they do not repeat.
2. Next, let's check if each unique x-value has only one corresponding y-value. We can see that (-3,0), (-1,1), and (4,5) all satisfy this condition.
3. However, we encounter an issue with the x-value of 0. We have two pairs with the x-value of 0: (0,1) and (0,6). Since 0 has two different corresponding y-values, the relation is NOT a function.
Therefore, the given relation is NOT a function.
Domain: The domain of a relation is the set of all x-values. In this case, the domain is {-3, -1, 0, 4}.
Range: The range of a relation is the set of all y-values. In this case, the range is {0, 1, 5, 6}.