Use a graphing calculator when necessary to complete the parts below.  

1. Graph $x(t) = t$ and $y(t) = t^3 − 3$ for $−2 ≤ t ≤ 2$.

   Hint (a):

2. Express $y$ in terms of $x$.

3. On the same set of axes, graph $x(t) = t^3 − 3$ and $y(t) = t$.

4. Express $y$ in terms of $x$ from part (c).

5. What is the relationship between the functions of parts (a) and (c)?

6. What is the relationship between the functions of parts (b) and (d)?