Question

What set of transformations

Answer 1

Set of transformations is a set conditioned by a function that transforms element from definition set to transformation set.

$f: A\longrightarrow B$, where A is definition set and B is transformation set.

Here is an example.

You are given definition set $A=\{1, 2, 3\}$ and a function $f(x)=x^2$. To calculate which elements are in transformation set we write $f(A)=\{1, 2, 3\}^2={1, 4, 9}\Longrightarrow\boxed{B=\{1, 4, 9\}}$ and B is now the transformation set of definition set A that is conditioned by function f.

Hope this helps.

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