Video Transcript
So in this problem, I asked if this table represents a function and A says yes because there are two X values that are the same, um that actually is going to make it not represent a function, so that is not correct. So d is also not going to be correct since there are two exes that are same. So pieces. No. Because one X value corresponds to two different. I'm guessing why values. Mm hmm. Mhm, mm hmm. And he says no, because two of the Y values are the same. Now the Y values are allowed to repeat, but B is not allowed. You can't have repeating X values. So the answer B would be the one that would work for this problem.
Video Transcript
So for a thing to be a function, a relation to be a function. It means that every input one input Gives exactly one output, exactly one output. So what that means is if I have, if I have the same input going to two different things then it's not a function. And I'm liking this to like you know you're you're sending a text right? Let's just say that you have you know a crush and you're you're trying to work up the courage to texture. And you type out this long sappy text and you're about to hit send and and you get cold feet and you say no no no I'm not gonna embarrass myself like that. And so I hit X to delete it right? I'm trying to delete it because I don't want to make a fool out of myself. And instead of it deleting its sins instead. Right? Where I hit the delete button, I hit the delete button. But instead of deleting it sends instead. But sometimes when you hit the delete button it actually deletes. And sometimes when you hit the delete button it sends, you would get rid of that phone and a heartbeat because it doesn't function the way that it should. It deletes. You hit the delete key. When you hit that delete key, you wanted to do exactly one thing you wanted to delete. Right? But if you hit the delete key and it sends or deletes then it's not functioning the way that it should. Right? So that's how I like it. So what do we say then our exes are our inputs. We want that input that every X. That we send out to give us exactly one output. So here in this scenario notice we have 478 and eight right? We have in our X. Table right on this part of the X. Right? We go down and we see that we have 28 Right? And then we see that one of those eights goes to five and then the other eight goes to eight. So our output these are our inputs and these are outputs notice we have two of the same inputs. Right? So if I hit eight I sometimes get five and I sometimes get eight. That's not a function right? Because in the same way if I hit the delete button and it gives me two different outcomes it's not functioning. This is the same thing. We have two different inputs that are the same. We have the same input. Eight giving us two different outputs. So this is not a function because we have two different exes or we have the same X eight giving us two different outputs
Video Transcript
So in this question basically we need to tell following table represents a function. If it is representing, then we need to tell region and if it is not then we need to tell the region. So we are aware of the fact that function. Okay, wrong. X two. Why is having a property, property that Yeah, property there. Each ellie married of X must have unique element. Each element of X must have unique element of by a unique element of. By that means we have single value for each X. But here, if you see yeah, If x equals to eight, If x equals to eight, why would we five as well as it? So this is incorrect. For the do we function? So we can say that this is not function because yeah, For value eight we have two values for the single value of a. We have two values. So this is not a function. So this is not a function. This is not a function. This is not a function. And abc abc the option. The option is correct. That is no, because one X corresponds to two different by value. So we can say that option C is correct. Option he is correct. I hope you like this solution. Thank you so much
Video transcript
In the following table, is y a function of x? In order for y to be a function of x, for any x that we input into our little function box-- so let's say this is y as a function of x. It needs to spit out only one value of y. If it spit out multiple values of y, then it might be a relationship, but it's not going to be a function. So this is a function. This is a function. If we had a situation where if we input x into a box, it could be multiple possible y's, then this is not a function. So let's think about this table right over here. When x is equal to 1, we get y is equal to 1. But when x is equal to 1 again, all of a sudden, y is equal to 2. So here we have a situation where we input 1 into our little relationship box, and when we input 1 into our relationship box, we could get a 1, or we could get a 2 for y. So this is definitely not a function. For any input into a function, it has to map to exactly one output. Here it's mapping to two outputs. So this is not a function.