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Median Function
Oh honey, a quadratic function is a function whose rule is a polynomial of degree 2. It's like the middle child of polynomials - not too simple, not too complex, just right. So next time you see that squared term, you know you're dealing with a quadratic function, sweetie.
A Guassian function has a top in the middle and it's ends reach until infinity but the graph never touches the x axis. The location of the top depends on the parameters used.
It's like a bell curve; there's a high point in the middle with both sides dropping off symmetrically away from it and then flattening out as you move away from the drop offs.
Not every relation is a function. But every function is a relation. Function is just a part of relation.