I need help with rewriting a relation so it is a function!!!!!
for example { (1,3), (-8, 7), (2,3), (1, -6), (0,0), (5,3) }
I am lost and need help quick
To rewrite a relation as a function, you need to make sure that for each input value (x), there is only one output value (y). Let's go through the process step by step using the given relation:
{ (1,3), (-8, 7), (2,3), (1, -6), (0,0), (5,3) }
Step 1: Identify any repeated x-values
In this case, there are two occurrences of (1,3). Since the x-value is repeated, it means that the relation does not represent a function in its current form.
Step 2: Remove duplicate entries with the same x-value
To make this relation a function, we need to remove one of the occurrences of (1,3). Let's choose to keep the first occurrence and remove the second.
The revised relation becomes:
{ (1,3), (-8, 7), (2,3), (1, -6), (0,0), (5,3) }
Step 3: Verify that there are no repeated x-values
Now, let's check if there are any repeated x-values in the revised relation.
In this case, there are no more repeated x-values, so the relation is now a function.
Therefore, the rewritten function is:
f(x) = { (1,3), (-8, 7), (2,3), (1, -6), (0,0), (5,3) }
Note: The rewritten function may also be expressed algebraically, but since you only mentioned rewriting the relation, I have provided the revised relation form.