Graph each function and state the domain and range fxx12Solu

Graph each function and state the domain and range.

f(x)=(x-1)^2

Solution

f(x) is a polynomial of 2nd degree which is define for all real x

So, domain is set of all real numbers

f(x) =(x-1)^2

But square of real number can only take positive values so range is

Set of all non negative real numbers

Graph:

http://www.wolframalpha.com/input/?i=plot+y%3D(x-1)%5E2