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A Precalculus Outline

 

Chapter 2:  Linear and Quadratic Functions

 


Section 2.1:  Linear Functions

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Objective: Finding the slope between two points

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Objective: Finding the equation of a line given information about the line

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Objective: Writing a line in slope-intercept form to graph

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Objective: Graphing a line given in slope-intercept form

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Objective: Graphing horizontal lines

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Objective: Graphing vertical lines

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Objective: Interpreting slope as a rate of change

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Objective: Writing Linear Models

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Objective: Finding the Average Rate of Change of a Function

* Review for Section 2.1

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Objective: Plotting points in the plane.

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Objective: X-intercepts

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Objective: Y-intercepts

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Objective: Solving linear equations

Section 2.2:  Absolute Value Functions

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Objective: Definition of absolute value

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Objective: Piecewise definition of absolute value

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Objective: Writing a function involving absolute values as a piecewise-defined function

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Objective: Solving equations involving absolute value

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Objective: Graphing absolute value functions

* Review for Section 2.2

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Objective: Graphing piecewise defined functions

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Objective: X-intercepts

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Objective: Y-intercepts

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Objective: Finding domain of a function graphically

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Objective: Finding range of a function graphically

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Objective: Finding a relative maximum of a function graphically

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Objective: Finding a relative minimum of a function graphically

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Objective: Finding a local maximum of a function graphically

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Objective: Finding a local minimum of a function graphically

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Objective: Finding the maximum of a function graphically

Section 2.3:  Quadratic Functions

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Objective: Graphing Quadratic Functions by plotting points

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Objective: Graphing a quadratic function by converting it to standard form by completing the square

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Objective: Graphing a quadratic function by finding its zeros and using the vertex formula

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Objective: Using the vertex formula to find the vertex of the graph of a quadratic function

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Objective: Solving a quadratic equation using the quadratic formula

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Objective: Finding the discriminant of a quadratic equation and using it to characterize the nature of solutions

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Objective: Solving application problems featuring quadratic functions

* Review for Section 2.3

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Objective: Solving a quadratic equation by completing the square

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Objective: X-intercepts

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Objective: Y-intercepts

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Objective: Finding domain of a function graphically

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Objective: Finding range of a function graphically

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Objective: Finding a relative maximum of a function graphically

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Objective: Finding a relative minimum of a function graphically

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Objective: Finding a local maximum of a function graphically

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Objective: Finding a local minimum of a function graphically

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Objective: Finding the maximum of a function graphically

Section 2.4:  Inequalities with Absolute Value and Quadratic Functions

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Objective: Solving inequalities graphically

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Objective: Solving inequalities involving absolute value

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Objective: Solving quadratic inequalities using a sign diagram

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Objective: Graphing inequalities in two variables

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Objective: Using inequalities to describe regions in the plane

* Review for Section 2.4

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Objective: Graphing functions

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Objective: Solving linear inequalities

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Objective: Solving compound inequalities

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Objective: Intersection of sets

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Objective: Union of sets

 

Section 2.5:  Regression

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Objective: Using a calculator to find the least squares regression line

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Objective: Using a calculator to create a quadratic regression model

* Review for Section 2.5

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Objective: Plotting points in the plane

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Objective: Slope as a rate of change

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Objective: Vertex of a quadratic function

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Objective: Vertex of a parabola