给出下列各句的一般疑问句，并作简短的肯定、否定回答。

1. She would like an olive pizza.

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2. Miss Green can answer the question. 

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3. There was a lot of water in the lake.

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4. Tommy is playing chess with his friend.

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5. We do our homework every day.

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6. His brother wrote a letter last night. 

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下列结论正确的是
(A) 若f’(x₀)＞0，则在x₀的某一邻域内，函数f(x)必为单调增加函数．
(B) 若函数f(x)为(a，b)内的严格单调增加函数，且f(x)在(a，b)内可导，则必有f’(x)＞0．
(C) 若f’(x₀)＞0，则函数f(x)在x₀的某一邻域内必有f(x)＞0成立．
(D) 若函数f(x)在[a，b]上连续，在(a，b)内可导，且f’(x)在(a，b)内只有有限个点的值为零，其余为正，则f(x)在[a，b]上一定是严格单调增加的．