Provide an appropriate response.Prove that the function f is one-to-one.f(x) = x3 - 4
What will be an ideal response?
Assume that f(a) = f(b) for any numbers a and b in the domain of f.
Since f(a) = a3 - 4 and f(b) = b3 - 4, we have
a3 - 4 = b3 - 4
a3 = b3
a = b
Thus if f(a) = f(b) then a = b and f is one-to-one.
Mathematics
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