Is it possible? Determine whether the following properties can be satisfied by a function that is continuous on 1- , 2. If such a function is possible, provide an example or a sketch of the function. If such a function is not possible, explain why. a. A function f is concave down and positive everywhere. b. A function f is increasing and concave down everywhere. c. A function f has exactly two local extrema and three inflection points. d. A function f has exactly four zeros and two local extrema.

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.