Sketch the graph of f with the following characteristics: f(2)=f(4)=0 f(3) is defined f'(x)<0 if x<3 f'(3) does not exist f'(x)>0 if x>3 f"(x)<0 if x not equal to 3

What does it mean to say that f(4) is a local maximum valueof f ?

If xis large, which function grows faster, f(x)=2x or g(x)=x2?

How do the graphs of the functions f(x)=x2 and f(x)=x21 differ? We graphed them at the start of this section. What is the difference between their graphs? How are their graphs the same?