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MAT137Y1 LEC 20249: Calculus with Proofs (all lecture sections) Pre-Class Quiz 41(8.1 and 8.2)

Multiple choice

Let  𝑓  be a continuous function with domain  𝑅  . Let  𝐹  be an antiderivative of  𝑓 . Assume  𝑓 is strictly DECREASING . Which of the following statements must be true? Select all the correct answers.

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We start by restating the scenario: f is continuous on R and strictly decreasing, and F is an antiderivative of f (so F' = f). We are to evaluate which statements must be true. Option 1: F has at least one critical point. - A critical point of F occurs where F' = f = 0 (or where F' is undefined). Since f is strictly decreasing and continuous, it is not guaranteed to cros......Login to view full explanation

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