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Question: How to determine the concavity of an unknown function?

Question:How to determine the concavity of an unknown function?

Katatonia 65 Maple 2020
concavity homework
June 16 2021
2

Suppose we have an unknown parametric function like g(x). We do not know the exact form but we know that g(x) is increasing and concave. Also, we define h(x) = g(x)*f(x) where we know the exact form of f(x) like f(x)=2x+5. Here, I want to investigate if the function h(x) is concave or not. How is it possible to do this?

 

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