# Max & Min

Calculus Level pending

Let $$f(x)= x+ a \cos{x} \, (a>1)$$ be defined on the domain $$0\leq x\leq 2\pi$$. Which of the statements below is (are) correct?

a. Regardless of the value of $$a,$$ $$f(x)$$ has both maximum and minimum values.

b. $$f(x)>0.$$

c. When the minimum value of $$f(x)$$ is $$0,$$ the maximum value of $$f(x)$$ is $$\pi.$$

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