In this chapter, you will learn to:
- Find domain and range of functions
- Graph seven basic functions
- Evaluate piecewise defined functions
- Use transformations to sketch graphs of functions
- Graph quadratic functions using properties
- Graph polynomial functions using end-behavior
- Identify asymptotes and sketch graphs of rational functions
- 2.5: Polynomial Functions
- The root word “poly” means “many,” as in polygon (many sides) or polyglot (speaking many languages—multilingual). In algebra, the word polynomial means “many terms,” where the phrase “many terms” can be construed to mean anywhere from one to an arbitrary, but finite, number of terms. Consequently, a monomial could be considered a polynomial, as could binomials and trinomials. In our work, we will concentrate for the most part on polynomials of a single variable.
- 2.6: Rational Functions
- In this section, our study will lead us to the rational functions. Note the root word “ratio” in the term “rational.” Does it remind you of the word “fraction”? It should, as rational functions are functions in a very specific fractional form.