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  • 5 years ago

Concavity: Determine whether the following properties can be satisfied by a function that is continuous on (-inf,inf). If such a function is possible, provide an example 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 threee inflection points. d. A function f has exactly four zeros and two local extrema.

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  1. anonymous
    • 5 years ago
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    a. Would be a square function that opens down and does not cross the x-axis sort of like -x^2 - 1

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