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 intersect three times.

7. Are each of the functions even, odd, or neither?

   Answer (g):

   Both are neither.