Graph the following parametrization along the given interval, do NOT change to rectangular:

$x=t^3+1,y=2t-t^2,-2t4$

a$.$ Find the points of intersection of the curve with the $x$ and $y$ axis. Mark them on your graph.

b$.$ Make sure to mark the beginning and end points of the curve.

c$.$ Construct a table to show the coordinates of $8$ points on the curve between the points of intersection, including the end points. The table should include $x,y,$ and $t.$

d$.$ Find the area between the curve and the x$-$axis.

e$.$ Graph the function.