Consider the standard monomial functions f(x)=x4 and g(x)=x5.
a. (i) State the symmetry possessed by each graph and identify whether the graph is U-shaped or S-shaped.
b. (ii) Sketch both graphs on the same Cartesian plane, clearly labelling the origin and any intercepts.
c. (iii) On your sketches, mark the vertex or point of inflection and write its coordinates.