



Function  Nonfunction 

Domain and range: For a function f(x), it is customary to refer to the variable x as the input and the function value f(x) as the output. The input values are referred to as the domain of the function. The output values are referred to as the range of the function. (See page 330.)
Constructing quadratic rules: Given key points on a graph of a quadratic function, a rule can be found so that the graph of the rule contains the points. (See pages 333335.)
Expanding and factoring quadratic expressions: The Distributive Property can be applied to expand and factor quadratic expressions. (See Problem 2 on page 337 and Problem 8 on page 338.)
Solving quadratic equations: Factoring techniques and the quadratic formula can be used to solve quadratic equations. (See pages 340344.)
Quadratic formula: The quadratic formula was initially developed in Course 1, Unit 7. (The formula and an explanation of its use are on page 342 of the Course 2 student text.)
Solving equations and inequalities: Numeric, graphic, and symbolic strategies can be used to solve equations and inequalities involving comparisons between a linear and an inverse variation function or a linear and a quadratic function. The solution to the equation
is shown in the graph below. (See pages 360367.) Solving these types of systems draws on techniques for solving quadratic equations.
Common logarithms (base 10): The concept of the base 10 logarithm is developed from the problem of solving equations such as 10^{x} = 9.5. The definition of a common logarithm is usually expressed in functionlike notation: log_{10} a = b if and only if 10^{b} = a. So, log_{10} 9.5 = x. (See Problems 13 on page 379. Only common logarithms are developed here. Logarithms with other bases and the properties of logarithms are developed in CorePlus Mathematics Courses 3 and 4.)