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

Question

5291 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-04-16T15:49:08

See the explanation given below :-

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 :-

GeoGebra app

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