Let f Є C[a, b]. Suppose |f| is monotone on [a, b]. Prove: f(x) does not change sign on [a, b].

Show that the function fx)=ax is its own inverse for all real numbers a.

If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local extremum offon (a,c) ?

We can express the function in Exercise 3 algebraically as f(x)=g(x)= (fg)(x)=(gf)(x)=