Question 356295
Since you can plug in ANY number you want for x (including zero), this means that the domain is the set of all real numbers.



It turns out that {{{x^2}}} is NEVER negative. So the range of {{{x^2}}} is {{{y>=0}}}. So just add 1 to get the range of f(x) which is {{{f(x)>=1}}}



So summarize:


Domain: The set of all real numbers. Written as *[Tex \LARGE \left(-\infty,\infty\right)] in interval notation.



Range: {{{f(x)>=1}}}. In other words, the range is the set of numbers such that they are greater than or equal to 1. Written as <font size=6>[</font>*[Tex \LARGE 1,\infty]<font size=6>)</font> in interval notation.