A teacher writes the following eight functions on the board:
(A) 3
(B) 2x−7
(C) 4x2+x+5
(D) −x3+2
(E) x4−4x
(F) x+11
(G) ∣x∣
(H) x3(x−2)
Answer the questions below.
a. (i) Separate the eight expressions into two lists: Polynomials and Non-polynomials.
b. (ii) For every polynomial in your list, state its degree and classify it as Constant, Linear, Quadratic, Cubic or Higher.
c. (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.