Maths

A function is called a one-to-one function if it never takes on the same value twice. F(x1) != F(x2) when x1 != x2

Checking for values that make the statement above false, makes the function not one-to-one.

Horizontal line test used to test geometrically.

If a function is one-to-one with domain A and range B, then the inverse of said function has domain B and range A. f-1(y) = x <==> f(x) = y for any y in B.

Solving: f(x) == y, solve for x, result becomes f-1(y) which is just f-1(x) with y-terms, switch the y's into x's and done. Verify if needed.

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