Graphs That Are Not Polynomial Functions. The graph of a polynomial function will touch the x axis at zeros with even multiplicities. The graph of function k is not continuous.
These types of graphs are called smooth curves. Polynomial functions of degree latex 2 latex or more have graphs that do not have sharp corners. Do all polynomial functions have as their domain all real numbers.
The graph of function k is not continuous.
The graphs of and are graphs of polynomial functions. If a polynomial contains a factor of the form latex left x h right p latex the behavior near the x intercept h is determined by the power p we say that latex x h latex is a zero of multiplicity p. Shows a graph that represents a polynomial function and a graph that represents a function that is not a polynomial. The graph of function g g has a sharp corner.
