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?
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.
The range does not include the two limit values -pi/2 and pi/2.
The range should be expressed as ( -pi/2, pi/2 )
using the round brackets to indicate that the endpoints are not included.