Use the equation $f(x) = (x + 3)^3 - 1$ to complete each of the following tasks. .

1. Find the inverse equation.

   Hint (a):

   Solve for y: $x = (y + 3)^3 - 1$

2. Graph the inverse equation.

   Hint (b):

   How are a graph and its inverse graph related?
   The graph of $f(x)$ is given for you. Now sketch its inverse.

3. Is the inverse a function? Explain.

   Hint (c):

   Does the inverse graph pass the vertical line test?