(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Construct a piecewise function f(x) such that the following conditions are satisfied:

Concave down on ( - infinity, 5)

Concave up on (5, infinity)

increasing over ( -infinity,infinity)

Nonzero- sloped tangent line at the point of inflection x = 5

f(5) = 11 (continuous at x = 5)

f ' (5) =6

3. The attempt at a solution

I really don't know what I should do to get started. My teacher assigned this as a homework problem without going over anything related to this. I could draw a graph to easily satisfy the given conditions, but I don't know how to find the equations of the curves I drew.If you could point me in the right direction I would really appreciate it.

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# Construct a piecewise function f(x)

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