Without a graphing calculator, sketch the graph of $f \left(x\right) = x^{3} + x^{2}$.

1. On another set of axes, sketch the graphs of $g\left(x\right) = x^{3}$ and $h\left(x\right) = x^{2}$ and show how to combine these two graphs to get $f\left(x\right)$.

2. On a third set of axes, sketch the graphs of $p\left(x\right) = x^{2}$ and $q\left(x\right) = x + 1$ and show how to combine the graphs to get the graph of $f\left(x\right)$.