Is #f(x)=x^3+2x^2-4x-12# concave or convex at #x=3#?
1 Answer
At
Explanation:
A concave function is a function in which no line segment joining two points on its graph lies above the graph at any point.
A convex function, on the other hand, is a function in which no line segment joining two points on the graph lies below the graph at any point.
It means that, if
Hence to find the convexity or concavity of
The average of
As, this is more than
graph{x^3+2x^2-4x-12 [-5, 5, -20, 30]}