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