Given $f(x)=x^3+1$  and  $g(x)=(x+1)^2$:   

1. Sketch the graphs of the two functions.

   Hint (a):

   What are the parent graphs of each function? How is each function transformed?

6. For how many values of $x$ does $f(x)$ equal $g(x)$?  Explain.

   Hint (f):

   Look at the graph from part (a).

   Answer (f):

   Three values because the graphs cross three times.

7. Find and simplify an expression for $f(x)−g(x)$.

   Answer (g):

   $x^3−x^2−2x$

   Use the eTool below to solve the parts of the problem.
   Click the link at right for the full version of the eTool: 2-101 HW eTool