Objectives
How do we model polynomial or rational change?
By the end of this chapter, you should be able to...
- Graph quadratic functions and identify their axis of symmetry, and maximum or minimum point.
- Use quadratic models to solve an application problem and establish conclusions.
- Determine the zeros and their multiplicities of a polynomial in factored form. Describe and graph the behavior of a polynomial function at the intercepts and the ends.
- Rewrite a rational function as a polynomial plus a proper rational function.
- Determine the zeros of a polynomial function with real coefficients.
- Find the domain and range, vertical and horizontal asymptotes, and intercepts of a rational function and use this information to sketch the graph.