Question

How would you limit the domain to
make this function one to one?
f(x) = (x + 3)^2

Answer 1

Answer:

Domain would be x ≥ -3.

So enter -3.

Step-by-step explanation:

This is a parabola with line of symmetry x = -3.

When x has values like  say -4 and -2,  f(x)  will have a value of 1 making the function many to one.

So,  to make it one to one, x would have to be equal or greater than -3.

Answer 2

A function assigns values. The limit of the domain to make this function one to one is x≥3.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

A one to one function is a function whose every input gives a distinct output. Now given the function is a quadratic function, therefore, the function will have the same output for multiple inputs.

Since the symmetrical axis for this function lies at x=-3, therefore, for the function to be one to one the domain of the function must be greater than or equal to 6.

Hence, the limit of the domain to make this function one to one is x≥3.

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