Math 102/Chapter 4

Chapter 4: Linear and Quadratic Functions

Chapter 4: Linear and Quadratic Functions

• Linear functions and properties
• Linear models and functions from data
• Quadratic functions and properties
• Quadratic models and functions from data and descriptions
• Inequalities with quadratics

Section 4.1: Linear Functions and their Properties

y = mx + b

Graphing a linear function

Using average rate of change to identify linear function

Determining whether linear function is increasing, decreasing, or constant

Building models from verbal descriptions

Straight-line depreciation

Supply and demand

Section 4.2: Linear Models

Drawing and interpreting a scatter diagram

Distinguishing between linear and nonlinear relationships

Finding a model for linearly related data

Finding a model for linearly related data

Section 4.3: Quadratic Functions and their Properties

Quadratic functions

Graphing quadratic function using transformations

Locating vertex without graphing

Graphing quadratic function using vertex, axis, and intercepts

Graphing quadratic function using vertex, axis, and intercepts

Finding quadratic function given vertex and one other point

Finding min or max value of quadratic function

Steps for graphing a quadratic function

Section 4.4: Quadratic Models

Maximizing revenue

Maximizing the area enclosed by fence

Analyzing motion of projectile

Golden gate bridge

Fitting quadratic function to data

Section 4.5: Quadratic Inequalities (SKIP)

Solving inequality

Solving inequality

Solving inequality

Chapter 4 Objectives

Section 4.1:

• Graph linear functions
• Use average rate of change to identify linear functions
• Determine whether linear function is increasing, decreasing, or constant
• Build linear models from verbal descriptions

Section 4.2:

• Draw and interpret scatter diagrams
• Distinguish between linear and nonlinear relations
• Use graphing utility to find line of best fit

Section 4.3:

• Graph a quadratic function using transformations
• Identify the vertex and axis of symmetry of quad functions
• Graph quadratic functions using vertex, axis, and intercepts
• Find quadratic function given its vertex and one other point
• Find the max or min value of a quadratic function

Section 4.4:

• Build quadratic models from verbal descriptions
• Build quadratic models from data

Section 4.5:

• Solve inequalities involving a quadratic function