Question

How would you limit the domain to make this function one to one? f(x) = x4 Your answer will be the point to which you would limit the function. So if you would restrict the domain to either all x values greater than or equal to two or all x values less than or equal to two, you would simply enter 2.

Answer 1

In this question whenever we want to make any function one to one then it's very first property is that for "no two inputs should give exact same output"

In the given function f(x)= $x^{4}$

Here f(-1)= 1 and f(1)=1

Similarly for any x= R , f(-x)=$x^{4}$ and f(x) = $x^{4}$

Therefore we need to implicitly restrict the negative values from the domain of the function i.e. x= [0,$\infty$)

Therefore the final solution is domain of inputs = [0,$\infty$)