Question

The range of $f\left(x\right)=x-{\sin }^{2}x,x\in R$ is

• A. $R$
• B. $R-[0,1]$
• C. $R-(0,1)$
• D. $R-\left\{1\right\}$

Answer 1

The correct option is A $R$

Gievn : $f\left(x\right)=x-{\sin }^{2}x$
Now, draw the graph of $f\left(x\right)$ by plotting $y=-{\sin }^{2}x$ on the line $y=x$


Clearly, from graph, range of $f\left(x\right)$ is $R.$