Let f(x)=tan^-1x. Then the domain of f(x) is all real numbers and the range is [-π/2, π/2].

True or False?

Guest Mar 21, 2020

#1**+1 **

This is true, as the domain of arctan can accept any real number. the range however is limited to [-pi/2, pi/2] so it is continuous and 1-1 as a function.

jfan17 Mar 21, 2020