Question

Sketch the graph of a function which satisfies all of the following conditions:

Answer 1

You can use for example $f(x)=\frac{1}{x-4}$ . I have graphed it there : https://www.desmos.com/calculator/othuxmqqyj

A and B : f is always decreasing except in 4 where it is not defined
C,D : $f''(x)=\frac{2}{x^3}$