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ANSWER
y=x
y=x³
EXPLANATION
A function, f(x) has an inverse if and only if
Thus, the function is one to one.
For y=x or
Hence this function has an inverse.
For the function y=x² or f(x)=x².
This function has no inverse on the entire real numbers.
For the function y=x³ or f(x)=x³
This function also has an inverse.
For y=x⁴ or f(x) =x⁴
This function has no inverse over the entire real numbers.