More about Absolute Value Functions

Slides:

Advertisements

Similar presentations

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

Advertisements

2.5 Absolute Value Functions and Graphs

First let’s review 5.1 y = mx + b

2.4 Writing the Equation of a Line

Graph a linear equation Graph: 2x – 3y = -12 Solve for y so the equation looks like y = mx + b - 3y = -2x – 12 Subtract 2x to both sides. y = x + 4 Divide.

Finding the equation of a line.

2.5 Absolute Value Functions and Graphs Graphing Absolute Value Functions.

Bell Ringer Write an equation in slope – intercept form that is parallel to the line 5

Aim: Converting linear equations into Slope- Intercept Form Do Now: 1) Define Slope 2) Define y-intercept It’s easier than you think…

Write an equation given two points

4.22 Domain and Range from a Graph Nov. 10 and 11.

Today’s Agenda E -E - How can graphs be used to solve systems of linear equations? A -A - Warm-up: Bell Ringer Patterns B Review: Graph linear equations.

Start-Up Day 3 August 28 th -31 st Solve and Graph each Absolute Value Inequality.

2.8 Graphing Linear Inequalities in Two Variables

MFM 2P Minds On Integer Review! Calculate the following without using a calculator.

What is wrong with this equation: 3+4=4+4 What does that tell us about equation? Put agenda on upper right corner of your desk Put yesterday’s assignment.

FIND THE INTERCEPTS OF THE LINE 3X  4Y  24. X-INTERCEPT: THE X-COORDINATE OF THE POINT AT WHICH A LINE CROSSES THE X-AXIS Y-INTERCEPT: THE Y-COORDINATE.

Write an expression that shows the cost of a pair of shoes that cost ”C” with a coupon for 30% off. Put agenda on upper right corner of your desk Put yesterday’s.

x y Example 1 x y X = 3.

Comparing Functions and Identifying Linear and Non-linear Functions

Different Forms of Linear Functions Foldable

To write another equivalent equation, multiply each side by x – 12y = 8 To write one equivalent equation, multiply each side by 2. SOLUTION Write.

Warm Up Tell whether the system has one solution, no solution, or infinitely many solutions.

BELL RINGER  1. How do you convert from a logarithm to an exponential?  2. What are the properties of logarithms that come from the laws of exponents?

Grade 8: Linear Functions

Graphing Lines Using Slope-Intercept Form

Slope-Intercept and Standard Form of a Linear Equation.

Lesson 13.6 – Writing Equations in Slope-Intercept Form

Bell Ringer: Solve for x

Converting between Standard form and Slope-Intercept form

Bell Ringer 1. Why is an absolute value function a piecewise function?

Different Forms of Linear Functions Foldable

Equations of straight lines

2.4 Writing the Equation of a Line

Learning Target: I will graph a linear inequality.

2.4 Linear Functions: Graphs and Slope

§2.5: Solving Problems Involving Rate of Change

Bell Ringer Graph and shade the linear inequality. y> 2 3

2.4 Writing the Equation of a Line

8/29/12 Writing the Equation of a Line

Nuffield Free-Standing Mathematics Activity

Writing Linear Equations When Given Two Points on the Line

Bell Ringer 4x + y = 3 y – 6 = ½ x -9x + y = -5 -4x + y = 2

Bell Ringer 1. Why is an absolute value function a piecewise function?

A graphing calculator is required for some problems or parts of problems 2000.

EXIT TICKET: Graphing Linear Equations 11/17/2016

Objectives: 1. Identify systems of equations 2

Essential Questions How do I use intervals of increase and decrease to understand average rates of change of quadratic functions?

Forms of a linear equation

Lesson 5.1 – 5.2 Write Linear Equations in Slope-Intercept Form

y – y1 = m (x – x1) Topic: Writing Equations in Point-Slope Form

2-4: Writing Linear Equations Using Slope Intercept Form

First let’s review 5.1 y = mx + b

Bell Ringer What is a function?

Section 2.1 Day 2 Derivatives

Bell Ringer If (x) = 3x + 2, then what is the solution of f(2). Hint: substitute 2 in for x. 2) If f(x) = 2x2 – 3x + 4, then what is f(3), or what’s.

Bell Work Jackson opened a bank account and is saving for a new pair of shoes. The table below shows his progress. How much does Jackson save each week?

FOLDABLE: Different Forms of Linear Functions

Write Linear Equations in Point-Slope Form

Bell Ringer 4x + y = 3 y – 6 = ½ x -9x + y = -5 -4x + y = 2

Different Forms of Linear Functions Foldable

5-4 point-slope form.

2.4 Writing the Equation of a Line

9.4 Absolute Value Functions and Graphs

ALGEBRA I - REVIEW FOR TEST 2-1

Bell ringer The Johnson’s started a savings account for their son. They invested $5,000 in an account with a 7.5% interest rate that compounds.

Bell ringer f(x) = 15x – 1 2. f(x) = 1 3 x + 7

Angles, Radii, and chords

Presentation transcript:

More about Absolute Value Functions Tuesday, October 22, 2013

Bell ringer 1. What part of y = mx + b is the slope? 2. How do you determine slope on a graph? 3. How can you calculate the slope between two points?

Review

What’s Slope got to do with it? Have you noticed that the Absolute Value Functions are really two rays? A ray is part of a line. It has an endpoint and continues in one direction forever. Basically, an Absolute Value Function is part of two linear functions put together. So… how does the slope of the decreasing side of the Absolute Value Function relate to the slope of the increasing side?

Partner up! Using your graphic organizers from yesterday, work with your learning partner to complete the 12 problems. As you work, discuss how the slope on the left compares with the slope on the right.

EXIT TICKET What did you discover about the slope of the left and right sides of an Absolute Value Function? Answer this on the bottom of your Graphic Organizer from yesterday.