Q1: Can you think of any example of a function  for which  is true?

 

 

 

A1:      

Well, a really easy example would be  for all x!   and   also work, as does  for any constant c.

 

But if , then , but  which is not the same, so that one does not work.

 

In fact, if you found an example that does work it was probably of the form  for some constant c.

 

If you find any example not of this form, be sure to tell me.   You are guaranteed an ‘A’ in the course if you find one, so be sure to check every function!