Graphing Functions of the form
A polynomial function is a function in which is a polynomial in .
A polynomial function of degree is written as .
The graph of a polynomial function of degree , which is of the form is a horizontal line .
The graph of a polynomial function of degree , which is of the form , is a non-horizontal line. Read more about graphing lines here .
Higher-degree polynomials can be somewhat more difficult to graph. Some easy cases are the parent graphs , etc. These graphs have a predictable shape depending on whether the exponent is even or odd, as shown below.
Other higher-degree polynomials with more terms require other techniques. One method is to factor the polynomials to find -intercepts.
You can also use calculus to find the critical points of a polynomial function.