Question

How do you find the domain and range for `y = (x-5)^2`?

Answer 1

See the explanation given below :-

Explanation:

Since this function is defined for all Real numbers , so the domain of the function is

`D_f = x` `ϵ` `R` ; where `R` is the set of all Real numbers.

And since this is a Square function so its value can go from `0` to `∞` : -

`:.` the range of the function `R_f = [0,∞)`

The graph of the function is given below :-