Chapter 1 & 2.1-2.5 Review MA1032 Data, Functions & Graphs - - PowerPoint PPT Presentation

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Chapter 1 & 2.1-2.5 Review MA1032 Data, Functions & Graphs Sidney Butler Michigan Technological University September 27, 2006 S Butler (Michigan Tech) Chapter 1 & 2.1-2.5 Review September 27, 2006 1 / 1 Tools 1 Linear Equations

SLIDE 1

Chapter 1 & 2.1-2.5 Review

MA1032 Data, Functions & Graphs Sidney Butler

Michigan Technological University

September 27, 2006

S Butler (Michigan Tech) Chapter 1 & 2.1-2.5 Review September 27, 2006 1 / 1

SLIDE 2

Tools 1

Linear Equations Exact vs. Approximate Solutions Systems of Equations Substitution & Elimination

S Butler (Michigan Tech) Chapter 1 & 2.1-2.5 Review September 27, 2006 2 / 1

SLIDE 3

Chapter 1 Section 1

Definition of a Function Function Notation Uniqueness Representations of a Function Vertical Line Test

S Butler (Michigan Tech) Chapter 1 & 2.1-2.5 Review September 27, 2006 3 / 1

SLIDE 4

Chapter 1 Section 2

Rate of Change Increasing/Decreasing Functions Function Notation for Average Rate of Change

S Butler (Michigan Tech) Chapter 1 & 2.1-2.5 Review September 27, 2006 4 / 1

SLIDE 5

Chapter 1 Section 3

Functions with a constant rate of change Construction of linear models Slope and the general form of a linear function

S Butler (Michigan Tech) Chapter 1 & 2.1-2.5 Review September 27, 2006 5 / 1

SLIDE 6

Chapter 1 Section 4

Different rates of change on a linear graph Different initial values on a linear graph Linear function from numerical data, a graph or a description Three linear forms

S Butler (Michigan Tech) Chapter 1 & 2.1-2.5 Review September 27, 2006 6 / 1

SLIDE 7

Chapter 1 Section 5

Parallel & perpendicular lines Horizontal & vertical lines Intersection of two lines

S Butler (Michigan Tech) Chapter 1 & 2.1-2.5 Review September 27, 2006 7 / 1

SLIDE 8

Tools 2

Expanding Factoring Solving Quadratics

S Butler (Michigan Tech) Chapter 1 & 2.1-2.5 Review September 27, 2006 8 / 1

SLIDE 9

Chapter 2 Section 1

Keeping Inputs & Outputs Straight Abuse of Notation

S Butler (Michigan Tech) Chapter 1 & 2.1-2.5 Review September 27, 2006 9 / 1

SLIDE 10

Chapter 2 Section 2

Domain & Range Graphically Technology Troubles Algebraically

S Butler (Michigan Tech) Chapter 1 & 2.1-2.5 Review September 27, 2006 10 / 1

SLIDE 11

Chapter 2 Section 3

Piecewise functions Absolute value function

S Butler (Michigan Tech) Chapter 1 & 2.1-2.5 Review September 27, 2006 11 / 1

SLIDE 12

Chapter 2 Section 4

Concept of an inverse Finding the formula for an inverse

S Butler (Michigan Tech) Chapter 1 & 2.1-2.5 Review September 27, 2006 12 / 1

SLIDE 13

Chapter 2 Section 5

Relationship between the rate of change of a function and the concavity of the function’s graph

S Butler (Michigan Tech) Chapter 1 & 2.1-2.5 Review September 27, 2006 13 / 1