questionr
Early access
Exams
Joint Entrance Examination
Mathematics
Functions
Question 91
Question 91 of 162
Easy
MCQ
Let f : R \[ \to \] R be defined by f(x) = \[{x \over {1 + {x^2}}},x \in R\]. Then the range of f is :
A
\[\left[ { - {1 \over 2},{1 \over 2}} \right]\]
B
\[R - \left[ { - {1 \over 2},{1 \over 2}} \right]\]
C
(\[-\] 1, 1) \[-\] {0}
D
R \[-\] [\[-\]1, 1]
Check answer
Press A-D to select · Enter to check
Solutions · 1
Post your solution
Official solution
f(0) = 0 \& f(x) is odd Further, if x > 0 then f(x) = \[f(x) = {1 \over {x + {1 \over x}}} \in \left( {0,{1 \over 2}} \right]\] Hence, \[f(x) \in \left[ { - {1 \over 2},{1 \over 2}} \right]\]
Answer the question to unlock
Previous
Next