Question$31 \square$ Mark for Review Let $f$ be the function with derivative given by $f^{\prime}(x)=\sin x+\cos (2 x)-\frac{\pi}{4}$ for $0 \leq x \leq \pi$. On which of the following intervals is $f$ increasing? (A) $[0,0,724]$ only (B) $[0,0.724]$ and $[2.418,3.142]$ (C) $[0,0.253]$ and $[1.571,2.889]$ (D) $[0.724,2.418]$

Studdy Solution
Compare intervals with given options:
- Option (A): $[0, 0.724]$ only - Option (B): $[0, 0.724]$ and $[2.418, 3.142]$ - Option (C): $[0, 0.253]$ and $[1.571, 2.889]$ - Option (D): $[0.724, 2.418]$
The intervals where $f$ is increasing match option (B).
The function $f$ is increasing on the intervals $\boxed{[0, 0.724]}$ and $\boxed{[2.418, 3.142]}$.