Determine whether each relation is a funciton, Give the domain an...

Question

Determine whether each relation is a funciton, Give the domain and range for each relation. (1, 10), (2, 500), (13, π)

Accepted Answer

Hello. We're going to be identifying whether a set of points is a function or relation. So the points given to us is two comma comma 1916 and five comma E. And just in case you're wondering what he is? He is just an irrational number similar to pi So how do we go about figuring out whether this is a function or relation? Well, keep in mind that the function always has an input value X. And an output value. Why? Now there are a few conditions that can identify whether you have a function or not. The first main one being that the function is 1-1 or in other words you have one input to one output. The other condition is that you have multiple inputs 21 output. So that's the other condition that can identify a function. If you don't have either of these conditions then it is a relation. So let's just go ahead and start by listing now our input functions and our output values. So our input value is 2, 3 and five And our output value is going to be five, and E. Well what this is saying is that when we put in to to the function we get five. When we put in three we get 1916. And when we put in five we get E. So for every time we get an input we get exactly one output. That means that this set of values is 1 to 1 which means that yes this is a function. Now, since this is a function we need to go ahead and identify the domain and the range. So let's go ahead and start by identifying the domain while the domain is all the possible X value inputs of our function, which in this case here is going to be two comma three comma five. And for a range our range is all of our possible Y value outputs, which in this case here is going to be five comma 1916 and E. And that's gonna be a domain and range of this function. So this is a function. The domain is 235 and the range is 5, 1916 and E. That means that the solution to this equation into this problem is going to be C. So I hope this video helps you in identifying whether a set of points is a function in relation and I'll go ahead and see you all in the next video.

Watch next