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@naans_ni >Passing? Do you not miss me enough to even drop a hello? That's awful rude of you Shin. I'm hurt!
>Come back anytime though, I'd like to see you and James Gregory lined back to back, like paintings in a gallery, ever so beautiful!
@naans_ni >What's this?? Could Naans here be getting jealous of my little James Gregory? Are you scared he's more interesting than you!?
>Ahahaha, you needn't worry about such things, but I implore you do. You make such a cute face when you do so.
>(Midori is not going to allow such impulsiveness to desecrate his holy math game. This folly needs to end here.)
>(It only takes seconds for him to kill the light, and before anybody knew, his impulse for his triple integrals were nothing but whispers in the wind.)
>(Midori paces back and forth, with long and slow strides that belie aggravation—and outright boredom.)
>(He seems dissatisfied. Impatient. Hungering for nothing more than his triple integrals.)
>Isn't it amazing how you have to be attentive to all these minor things? The imperfections that all come together to form one luscious line on the graph!?
>It's superb!!
>It reminds me of how humans simply are. How fun!
>(...He seems sidetracked for now. Maybe another time.)
>Sometimes, the domain and/or range is restricted by the question itself. Sometimes, the function inherently restricts them.
>The function f(x)=1/x has an undefined y value at x=0, since it's dividing by 0. Therefore, the domain is (−∞,0)∪(0,+∞) instead of x∈R.
>... What does "valid x and y value mean," you ask? Why, I love it when people ask questions!
>Surely, you don't want to divide by zero! Make that mistake and your calculator will go BOOM BOOM like Alice. Your calculator can't *stomach* the thought of that.
>In functions and graphs, there exists the domain and range, which are sets of all the possible and valid x and y values in them, respectively.
>They can be expressed in either set builder or interval notation, but we'll stick to interval for the sake of simplicity.
>So, a function is when the first ordered pair (x, usually) each has one output and one output only.
>For example, a horizontal parabola, where there are 2 different y values for every x value, except for the vertex, is not a function.
>It's real simple, so that's all I'll give.