Four Faces of a Linear Function

Slides:

Advertisements

Similar presentations

Objective - To graph linear equations using the slope and y-intercept.

Advertisements

1.1 Tables and Graphs of Linear Equations

The table and graph suggest another method of graphing a linear equation. This method is based on two numbers. The SLOPE This is the coefficient of x.

Objective : 1)Students will be able to identify linear, exponential, and quadratic equations when given an equation, graph, or table. 2)Students will be.

WARM UP  Using the following table and y = mx + b;  1) What is the y?  2) What is the b? xy

1 Linear Equation Jeopardy SlopeY-int Slope Intercept Form Graphs Solving Linear Equations Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400.

Equations, Tables, and Graphs OH MY!. QUESTION:

Linear functions. Mathematical Function? Relationship between two variables or quantities Represented by a table, graph, or equation Satisfies vertical.

Linear Functions and Modeling

Copyright © 2005 Pearson Education, Inc. Slide 9-1.

~adapted from Walch Education CONSTRUCTING FUNCTIONS FROM GRAPHS AND TABLES.

Table of Contents Rational Functions: Slant Asymptotes Slant Asymptotes: A Slant asymptote of a rational function is a slant line (equation: y = mx + b)

Graph the linear function What is the domain and the range of f?

Equations of Linear Relationships

Copyright © 2015, 2008, 2011 Pearson Education, Inc. Section 1.6, Slide 1 Chapter 1 Linear Equations and Linear Functions.

Unit 1: Scientific Process. Level 2 Can determine the coordinates of a given point on a graph. Can determine the independent and dependent variable when.

Graphs We often use graphs to show how two variables are related. All these examples come straight from your book.

Scientific Method. Experiment A process used to gather observations and test hypothesis.

2.1.1 Calling Plans day 3 Unit 2: Linear Relationships SWBAT: Compare calling plans by using graphs, tables, and equations.

Time (days)Distance (meters) The table shows the movement of a glacier over six days.

Four Faces of a Linear Function How is a linear relationship used in our everyday world?

Inverse Variation 1) In an inverse variation, the values of the two x and y change in an opposite manner - as one value increases, the other decreases.

2.5 Linear vs. Exponential. Linear functions A function that can be graphically represented in the Cartesian coordinate plane by a straight line is called.

3.1 Solving Systems Using Tables and Graphs When you have two or more related unknowns, you may be able to represent their relationship with a system of.

+ Unit 1 – First degree equations and inequalities Chapter 3 – Systems of Equation and Inequalities 3.1 – Solving Systems by Graphing.

4.2 Patterns and Linear Functions I can identify and represent patterns that describe linear functions.

Equations of Linear Relationships

Copyright © 2015, 2008, 2011 Pearson Education, Inc. Section 1.4, Slide 1 Chapter 1 Linear Equations and Linear Functions.

Graphs help us visualize numerical data.

TODAY IN ALGEBRA 2.0…  Review: Solving Linear Systems by Graphing  Learning Goal 1: 3.2 Solving Linear Systems by Substitution with one equation solved.

On Desk: 1. Pencil 2. Calculator 3. Math Journal 4. Learning Log Learning Log: 1. HW: p. 19, #10d, 13 p. 38, #1, 29, 30, Learning Check – Finish?

7.6 Exponential Functions. Definitions What is a linear function? y = mx + b Any function whose graph is a line. Any function with a constant rate of.

Graphical Model of Motion. We will combine our Kinematics Equations with our Graphical Relationships to describe One Dimensional motion! We will be looking.

Algebra 1 Section 4.2 Graph linear equation using tables The solution to an equation in two variables is a set of ordered pairs that makes it true. Is.

Introduction to Differential Equations

Writing Linear Equations

Chapter 1 Linear Equations and Linear Functions.

1.1 Tables and Graphs of Linear Equations

Section 1.6 Functions.

Direct Variation.

Designing Experiments and Reading Graphs

Scientific Method.

Linear Equations Y X y = x + 2 X Y Y = 0 Y =1 Y = 2 Y = 3 Y = (0) + 2 Y = 2 1 Y = (1) + 2 Y = 3 2 Y = (2) + 2 Y = 4 X.

2.1 – Represent Relations and Functions.

5-2 Direct Variation.

Lesson 8-3 Using Slopes and Intercepts part 2

Lesson 3: Linear Relations

Graphing Techniques.

Scatter Plots and Equations of Lines

Chapter 1 Linear Equations and Linear Functions.

Linear Equation Jeopardy

Y x Linear vs. Non-linear.

Learning Targets Students will be able to: Compare linear, quadratic, and exponential models and given a set of data, decide which type of function models.

Objective- To use an equation to graph the

Graph Review Skills Needed Identify the relationship in the graph

Unit 6: Exponential Functions

Warm Up What three terms come next? 1. 9, 12, 15, 18, . . .

2.2: Graphing a linear equation

2.2 Linear relations and functions.

Warm Up What three terms come next? 1. 9, 12, 15, 18, . . .

Objectives Compare linear, quadratic, and exponential models.

Point-Slope Form & Graphing

Chapter 5: Graphs & Functions

Proportional or Non-proportional?

Homework Due Tomorrow Bellringer 2.23.

5.1 -Systems of Linear Equations

5.1 – Rate of Change Textbook pg. 294 Objective:

Is it proportional? We will look at some equations, graphs and tables and you will decide if the relationship is proportional. Tell why or why not. If.

Lesson 4.1: Identifying linear functions

Presentation transcript:

Four Faces of a Linear Function Saving for an iPhone

Today we will… Define Linear Relationship Discuss the Four Faces of a Linear Function Summarize the iPhone Investigation

Definition of a Linear Relationship Comparison of two variables that change at constant rates. Definition of a Linear Relationship

Four Faces of a Linear Function Table Graph Equation Story Problem

Table

Graph

Equation

Story Problem

How can we see a linear relationship in each of the four faces of a function? Table ~ both the independent and dependent variables will increase or decrease at a constant rate Graph ~ line (Linear) Equation ~ will be in the form of y = mx + b; the equation will be in the first degree Story Problem ~ will contain a constant; look for the word “per” in the story problem