- Jun 21, 2009
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In Intermediate Algebra, we've been taught that certain Relations are Functions; have been taught about the "Vertical Line Test".
For those who don't quite follow what this means a brief explanation may help. Relations, in the field of mathematics, define the relationship between two or more sets of anything (including numbers). Functions are a certain, specific, kind of Relation where for every input there is exactly one (1) output.
A couple quick examples:
If we consider the "Y" axis the Output Variable and the "X" axis (the horizontal) as the Input:
We may see that a diagonal line expresses a function because for each input variable (every point along the 'X' axis) is related to exactly one (and only one) output plotted here along the 'Y' axis.
A Circle graph shows a relation, certainly, but it is not a function because for at least one input there is more than one output.
o_O
. o O (Enough with the math already)
Okay, enough with the math already. Stop 'posing' as a math question. Got'cha. How about we, having laid the foundation, switch gears and speak of something that has greater use. Consider the following:
Is this a function? Indeed it is. We, as Children of God, are commanded to have one and only one output.
Next Question: "Do all of our relationships pass the Vertical Line Test?"
If your frank reply to this is similar to mine? Be assured that God is greater than your heart and that for Him? All things are possible. All things. We each do well to trust Him to rightly establish our relations so that they align as functions, so that we too may share the "Mind of Christ."
For those who don't quite follow what this means a brief explanation may help. Relations, in the field of mathematics, define the relationship between two or more sets of anything (including numbers). Functions are a certain, specific, kind of Relation where for every input there is exactly one (1) output.
A couple quick examples:
If we consider the "Y" axis the Output Variable and the "X" axis (the horizontal) as the Input:

A Circle graph shows a relation, certainly, but it is not a function because for at least one input there is more than one output.
o_O
. o O (Enough with the math already)
Okay, enough with the math already. Stop 'posing' as a math question. Got'cha. How about we, having laid the foundation, switch gears and speak of something that has greater use. Consider the following:
“This is My commandment:
That you love one another
Just as I have loved you."
Is this a function? Indeed it is. We, as Children of God, are commanded to have one and only one output.
Next Question: "Do all of our relationships pass the Vertical Line Test?"
If your frank reply to this is similar to mine? Be assured that God is greater than your heart and that for Him? All things are possible. All things. We each do well to trust Him to rightly establish our relations so that they align as functions, so that we too may share the "Mind of Christ."