Question 118
Which of the following statements does not hold for the function $f$ given by $f(x)=\frac{1}{2}-\frac{1}{2} \cos x$?
(A) The range of the function $f$ is $[0,1]$.
(B) The fundamental period of the function $f$ is $2 \pi$.
(C) The function $f$ is even.
(D) The zeros of the function $f$ are $x=k \pi,\ k \in \mathbb{Z}$.
(E) The function $f$ attains its maximum value for $x=\pi+2 k \pi,\ k \in \mathbb{Z}$.
(A) The range of the function $f$ is $[0,1]$.
(B) The fundamental period of the function $f$ is $2 \pi$.
(C) The function $f$ is even.
(D) The zeros of the function $f$ are $x=k \pi,\ k \in \mathbb{Z}$.
(E) The function $f$ attains its maximum value for $x=\pi+2 k \pi,\ k \in \mathbb{Z}$.