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Read aloud Readability settings Prev Up Next \(\newcommand{\markedPivot}[1]{\boxed{#1}}
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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.
Solve rational equations.
Find the domain and range, vertical and horizontal asymptotes, and intercepts of a rational function and use this information to sketch the graph.
Solve quadratic inequalities and express the solution graphically and with interval notation.
Solve rational inequalities and express the solution graphically and using interval notation.
