Linear, Quadratic, and Exponential Functions Linear, quadratic, and exponential functions are studied in depth. Students work with quadratic functions written in general and standard forms, and find the vertex, line of symmetry, and intercepts of quadratic functions. After operating with linear and quadratic functions, students explore exponential functions. They graph, study transformations of, identify properties relating to, and engage in problem solving applications involving all three types of functions. The laws of exponents, including fractional and negative exponents, as well as theorems about radicals are used to simplify monomials and more complex expressions.
Students simplify polynomials, factor binomials and trinomials, and operate with polynomials.
They also perform operations with rational and irrational expressions. Solving Open Sentences Students begin by solving various types of equations and inequalities of the first degree. In addition, polynomial equations of degree three or more that can be solved by factoring are examined. Then quadratics are solved by factoring, completing the square, and using the quadratic formula. Open sentences involving absolute value, rational, exponential, and radical expressions are studied.