A teacher writes the following eight functions on the board:
(i) Separate the eight expressions into two lists: Polynomials and Non-polynomials.
(ii) For every polynomial in your list, state its degree and classify it as Constant, Linear, Quadratic, Cubic or Higher.
(iii) Choose one example each of a Constant, a Linear, a Quadratic, a Cubic and a Higher-degree polynomial from part (ii). Sketch their graphs on separate coordinate axes, labelling any intercepts clearly.