COMEDK2014MathematicsBasics of Mathematics
The function f(x)= (x+ x²+1 ) is
Options
- Aan even function.
- Ban odd function.
- Ca periodic function.
- Dneither an even nor an odd function.
Correct answer
B. an odd function.
Step-by-step solution
Given, f(x)= (x+ x²+1 ) f(x)+f(-x)= (x+ x²+1 ) + (-x+ x²+1 )= (1)=0 f(-x)=-f(x) Hence, f(x) is an odd function.