Not only you, but other people that may read this comment. What this means is that, for every x in the x-axis, we input that into the function we're graphing, and the result is going to be the y-coordinate of that x. We can also always graph a function, denoting the y-axis as f(x). By consequence, f(x) = +/-√x is not a function, because the square root of 4 can be either 2 or -2. f(x)=2x can never give different results for the same x. What this means is, if I input a number, the answer should always be only that one output. Things that are important about functions:Ī function can only be a function if it has only one output per input. What this function tells us is to square any number that we input into the function. The input is simply the x I chose (in this case 2) and the output was what the function spat out (in this case, 4).Īnd we can do more complicated functions, like: That means that, when we input any x into f(x), our answer is going to be 2 times that x. We can represent that as f(x) = 2x (reads "f of x equals two x"). Say we have a machine (function) that takes any number and doubles it. In this case, the person's name is the input, the mother's name is the output and the machine is the function. So, if I input myself, I would get as an answer my mother. * Give the name of the biological mother of that person Imagine you have a machine (call that a function) that, when fed with something, spits something else out.
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