Let \( f(a)0 \), and let \( f(x) \) be a nondecreasing continuous f...

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Let \( f(a)0 \), and let \( f(x) \) be a nondecreasing continuous function in \( [a, b] \).
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Then \( \frac{1}{b-a} \int_{a}^{b} f(x) d x \) has the
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(a) maximum value of \( f(b) \)
(b) minimum value \( f(a) \)
(c) maximum value bf(b)
(d) minimum value \( \frac{f(a)}{b-a} \)
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