Suppose f(x) is a cubic (3rd degree) polynomial. In each case (below), if the statement is true draw an example of a (correct) possible graph of f(x), otherwise, if the statement is false, EXPLAIN why.

1. f(x) can have no x-intercepts.
 
 
 
 
 
 
 

2. f(x) can have 1 x-intercept.
 
 
 
 
 
 
 

3. f(x) can have 2 x-intercepts.
 
 
 
 
 
 
 

4. f(x) can have 3 x-intercepts.
 
 
 
 
 
 
 

5. f(x) can have 4 x-intercepts.