![]() ![]() X, what f(x) do I produce?", the definition says "f(x) Here, the thing that tries to figure out, "okay, given an I'm gonna input x's, and I have my function f,Īnd I'm gonna output f(x). So let's say that I have the function f(x) defined as, so once again, Little bit more concrete, with an example. The set of all possible, all possible outputs. Of all of the things that the function could output, that is going to make up the range. It from this function, that thing is going to be in the range, and if we take the set Something, and by definition, because we have outputted ![]() Something from the domain, it's going to output Of definitions for range, but the most typical definition for range is "the set of all possible outputs." So you give me, you input The range, and the most typical, there's actually a couple That is called the range of the function. Outputs that the function could actually produce? And we have a name for that. The focus of this video is, okay, we know the set ofĪll of the valid inputs, that's called the domain,īut what about all, the set of all of the Thing to think about, and that's actually what Is outside of the domain and try to input it into this function, the function will say, "hey, wait wait," "I'm not defined for that thing" "that's outside of the domain." Now another interesting Outside of the domain, let me do that in a different color. If this is the domain here, and I take a value here,Īnd I put that in for x, then the function is A domain is the set of all of the inputs over which the function is defined. To product an output that we would call "f(x)." And we've already talked a little bit about the notion of a domain. It is going to map that, or produce, given this x, it's going "f", but "f" is the letter most typically used for functions, that if I give it an input, a valid input, if I give it a valid input,Īnd I use the variable "x" for that valid input, it is A review, we know that if we have some function, ![]()
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