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

Apr 16, 2018

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 ∞ : -

$\therefore$ the range of the function R_f = [0,∞)

The graph of the function is given below :-