Complete the sentences below to obtain true statements. Use the following words: increasing", decreasing", concave up", concave down", positive", negative". If particular answer cannot be determined from the given information, type in the word undetermined". (Type the words BUT DO NOT TYPE THE QUOTATION MARKS.) 1. If f' is negative on an interval, then f(x) is on that interval and f"(x) is on that interval. 2. If f"(x) is negative on an interval, then f' (x) is on that interval and f(x) is on that interva 3. If f' (x) is decreasing on an interval, then f(x) is on that interval and f" (x) is on that interval. 4. If f(x) is decreasing on an interval, then f' (x) is on that interval and f"(x) is on that interval.
Complete the sentences below to obtain true statements. Use the following words: increasing", decreasing", concave up", concave down", positive", negative". If particular answer cannot be determined from the given information, type in the word undetermined". (Type the words BUT DO NOT TYPE THE QUOTATION MARKS.) 1. If f' is negative on an interval, then f(x) is on that interval and f"(x) is on that interval. 2. If f"(x) is negative on an interval, then f' (x) is on that interval and f(x) is on that interva 3. If f' (x) is decreasing on an interval, then f(x) is on that interval and f" (x) is on that interval. 4. If f(x) is decreasing on an interval, then f' (x) is on that interval and f"(x) is on that interval.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text: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.)
1. If f' is negative on an interval, then f(x) is
on that interval and f"(x) is
on that interval.
2. If f" (x) is negative on an interval, then f' (x) is
on that interval and f(x) is
on that interval.
3. If f' (x) is decreasing on an interval, then f(x) is
on that interval and f" (x) is
on that
interval.
4. If f(x) is decreasing on an interval, then f'(x) is
on that interval and f"(x) is
on that
interval.
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