Exercise 18

For each statement in Exercises–this exercise, decide which of the following is true.

1. The statement is true regardless of the specific function $f$.

2. The statement is true for some functions and false for other functions.

3. The statement is false regardless of the specific function $f$.

If a function $f$ is increasing over the entire interval $\ointerval{-3}{7}$ and $\fe{\fd{f}}{4}$ exists, then $\fe{\fd{f}}{4}=0$.