  A Precalculus Outline

 Chapter 2:  Linear and Quadratic Functions Objective: Finding the slope between two points Objective: Finding the equation of a line given information about the line Objective: Writing a line in slope-intercept form to graph Objective: Graphing a line given in slope-intercept form Objective: Graphing horizontal lines Objective: Graphing vertical lines Objective: Interpreting slope as a rate of change Objective: Writing Linear Models Objective: Finding the Average Rate of Change of a Function Objective: Plotting points in the plane. Objective: X-intercepts Objective: Y-intercepts Objective: Solving linear equations Section 2.2:  Absolute Value Functions Objective: Definition of absolute value Objective: Piecewise definition of absolute value Objective: Writing a function involving absolute values as a piecewise-defined function Objective: Solving equations involving absolute value Objective: Graphing absolute value functions Objective: Graphing piecewise defined functions Objective: X-intercepts Objective: Y-intercepts Objective: Finding domain of a function graphically Objective: Finding range of a function graphically Objective: Finding a relative maximum of a function graphically Objective: Finding a relative minimum of a function graphically Objective: Finding a local maximum of a function graphically Objective: Finding a local minimum of a function graphically Objective: Finding the maximum of a function graphically Objective: Graphing Quadratic Functions by plotting points Objective: Graphing a quadratic function by converting it to standard form by completing the square Objective: Graphing a quadratic function by finding its zeros and using the vertex formula Objective: Using the vertex formula to find the vertex of the graph of a quadratic function Objective: Solving a quadratic equation using the quadratic formula Objective: Finding the discriminant of a quadratic equation and using it to characterize the nature of solutions Objective: Solving application problems featuring quadratic functions Objective: Solving a quadratic equation by completing the square Objective: X-intercepts Objective: Y-intercepts Objective: Finding domain of a function graphically Objective: Finding range of a function graphically Objective: Finding a relative maximum of a function graphically Objective: Finding a relative minimum of a function graphically Objective: Finding a local maximum of a function graphically Objective: Finding a local minimum of a function graphically Objective: Finding the maximum of a function graphically Section 2.4:  Inequalities with Absolute Value and Quadratic Functions Objective: Solving inequalities graphically Objective: Solving inequalities involving absolute value Objective: Solving quadratic inequalities using a sign diagram Objective: Graphing inequalities in two variables Objective: Using inequalities to describe regions in the plane Objective: Graphing functions Objective: Solving linear inequalities Objective: Solving compound inequalities Objective: Intersection of sets Objective: Union of sets Objective: Using a calculator to find the least squares regression line Objective: Using a calculator to create a quadratic regression model Objective: Plotting points in the plane Objective: Slope as a rate of change Objective: Vertex of a quadratic function Objective: Vertex of a parabola