Complete the sentences below to obtain true statements. Use the following words:

Question

Complete the sentences below to obtain true statements. Use the following words: increasing", decreasing", concave up", concave down", positive", negative". If a particular answer cannot be determined from the given information, type in the word undetermined". (Type the words BUT DO NOT TYPE THE QUOTATION MARKS.) If f' is positive on an interval, then f(x) is on that interval and f"(x) is on that interval. If f"(x) is positive on an interval, then f'(x) is on that interval and f(x) is on that interval. If f'(x) is decreasing on an interval, then f(x) is on that interval and f"(x) is on that interval. If f(x) is decreasing on an interval, then f'(x) is on that interval and f"(x) is on that interval.

Explanation / Answer

1) f(x) is increasing not sure about f"(x) sign.
2) f'(x) is increasing and f(x) has concave up.
3)f'(x) is decreasing means f"(x) is negative so f(x) has concave down.
4)f'(x) is negative and f"(x) sign is not confirmed

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