Given the range of negative/positive numbers $[-3, -2, -1, 0, 1, 2, 3]$, is there a transformation that gives me $[0.125, 0.25, 0.5, 1, 2, 4, 8]$?
2026-03-25 16:03:48.1774454628
Transforming $[-3, -2, -1, 0, 1, 2, 3]$ to $[0.125, 0.25, 0.5, 1, 2, 4, 8]$
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Hint: Think about powers of $2$.
What is $2^0$?
What is $2^1$?
What is $2^2$?
What is $2^{-1}$?
What is $2^{-2}$?
This should make it apparent. The answer would then be if $A=(-3,-2,-1,0,1,2,3)$ and $B=(0.125,0.25,0.5,1,2,4,8)$ Then $f:A\to B$ is $b=f(a)=2^a$ for $a\in A$.