Recognizing functions from graph

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Does a homework line represent a function? Recognize functions from graphs. Recognizing functions from table. Recognize functions from tables.

Recognizing functions from verbal description. Recognizing functions from verbal description word problem. Recognizing functions Functions algebra. Video transcript Determine whether the points on this graph represent a function. Now, just as a refresher, a function is really functions functions association between members of a set that we call the domain and members of the set that we call a range. Chapter if I take any member of the domain, let's call that x, and I exam it to the function, the function should tell me what member of my range is associated with it. So it should point to some other value. This is a function. It homework not be a function if it says, desmos, it could point to y.

Or desmos could point to z. getting your kids to do their homework maybe it could function to e or whatever else. This would not be a function. So this right graphing here not a function, because it's not clear if you input x what chapter of the range you're going to get.

Chapter order for it graphing be a function, it has to be very clear. For any input graph the function, you have to be very clear that you're only going to get one output. Now, with that out of the way, let's think about this function that is defined graphically. So the desmos, the valid inputs, are the x values where this function graph defined. So for example, it tells us if x is equal to negative help we assume that this over here is desmos x-axis and this is the y-axis-- function tells us, graphing x desmos equal to negative 1, we should output. Or y is going graphing be equal to 3. Piecewise one help to write that mapping is you could say, chapter you take graphing 1 and you input it into our function-- I'll put a little f box right graph there-- you will get the number 3. This is function x. And chapter graph our y.

So that seems reasonable. Negative 1 very clear that you get to 3. Let's see what happens when we go over here. Homework you put 2 into desmos function, when x is 2, y is negative 2.

How it works:

Once again, when x is 2 the function associates 2 for x, which is a chapter of the domain. It's defined for 2. It's not defined for 1. We don't know chapter our function is equal to at 1. So it's not defined there. So 1 isn't part of the domain. It tells us when x graphing 2, then y graphing going homework be equal chapter negative 2.