Chapter 3.7, Problem 42E

Sketching a Function In Exercises 41 and 42, sketch a graph of a function f having the given characteristics. (There are many correct answers.)

$f\left(-1\right)=f\left(3\right)=0$

$f\text{'}\left(1\right)\text{ is undefined}$.

$f\text{'}\left(x\right)<0\text{ if }x<1$

$f\text{'}\left(x\right)>0\text{ if }x>1$

$f"\left(x\right)<0,x\ne 1$

$\underset{x\to \infty }{\lim }f(x)=4$