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How do you calculate the Range of a function?
What do you mean by the Range of a function?
What is relation between Domain and Range of a function and its inverse?
I'm in precalc right now but my functions worksheet is asking me to find the range of Y=โ(x+1)-โ(x+7)
I asked some of the smarter kids about this and they all said you needed calculus, same with symbolab. I'm not even learning calc yet in my curriculum and apparently this problem has something to do with limits. Can anyone give me a watered down explanation on calculus and how to use it to solve this problem?
I found this website that allows me to input the values of X and Y then gives me a function.
I was wondering if there's anything similar that would allow me to input a range of values in X and Y and find a function that fits that?
For example:
0<X<=19, 0<Y<=1
19<X<=20, 1<Y<=2
Would result in Y = X/19
Anyone know of an easy way to not have to do that manually?
Edit: I just realised I could do this with ChatGPT by using the following prompt "Give me a single linear function that works within the following ranges:"
I'm a bit disappointed that an AI was more helpful than fellow humans, but thanks for anyone who genuinely tried to help.
There are an infinite number of functions that pass through two boxes, what exactly are you looking for?
And in what kind of software/device/whatever?
As for now, your definition of the problem you want to solve is too vague. The realm of possible solutions is infinite.
For instance, the function abs(0.0473684xยฒ - 0.847368x) would exhibit behavior similar to what I assume you desire, as also this line of code, If x < 1 then y = 0.5 else y = 1.5 .
Your selection criteria is pivotal. To narrow down the options, consider specifying your precise requirements. Whether itโs continuity, smoothness, or specific mathematical properties, a well-defined criterion will guide you toward a more tailored solution.