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  3. 3. determine whether the following properties can

3. Determine whether the following properties can be satisfied by a function that is continuous on...

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Basic Math

3. Determine whether the following properties can be satisfiedby a function that is continuous on the interval (−∞, ∞). If such afunction is possible provide an example or a sketch of thefunction. 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 2 local extreme and 3 inflectionpoints.

d. A function f has exactly 4 zeros (x-intercepts) and 2 localextreme.

Answer & Explanation Solved by verified expert
4.4 Ratings (1049 Votes)
A A function f is concave down and positive everywhereexample of acan be a semicircleexample y4B A function f is increasing and    See Answer
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