- #1
Jinxypo
- 5
- 0
Homework Statement
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
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.