2.5 Library of Functions and Piece-Wise Functions Aaron: Dude, one thing the guy said is you don’t taunt voodoo. Zak: Am I taunting? Aaron: Dude, you’re.

Slides:



Advertisements
Similar presentations
Domain and Range Increasing and Decreasing x- and y-intercepts
Advertisements

1. 2. Warm-Up Domain Range INQ:______________ INT:______________
Families of Functions, Piecewise, and Transformations.
Library of Functions.
Library of Functions You should be familiar with the shapes of these basic functions. We'll learn them in this section.
Graphing Piecewise Functions
FRIDAY: Announcements TODAY ends the 2 nd week of this 5 week grading period Passing back Quiz #2 today Tuesday is Quiz #3 Thursday is your first UNIT.
DO NOW – Summarize the steps you would take to solve limits. For example: – When do you factor, expand, plug in, rationalize, etc.? – What is the difference.
Piecewise & Greatest Integer Functions
C ollege A lgebra Functions and Graphs (Chapter1) 1.
2.3 Analyzing Graphs of Functions. Graph of a Function set of ordered pairs.
1 What you will learn today 1. How to evaluate piecewise functions 2. How to graph piecewise functions 3. How to determine piecewise functions from a graph.
Chapter 3: Functions and Graphs 3.1: Functions Essential Question: How are functions different from relations that are not functions?
2.6 – Special Functions Math 2 Honors - Santowski.
Unit 1 – First-Degree Equations and Inequalities
Collins Type 2 (Turned in) Describe when and why you would use the vertical-line test and the horizontal-line test.
Section 1.3 – More on Functions. On the interval [-10, -5]: The maximum value is 9. The minimum value is – and –6 are zeroes of the function.
Section 1.7 Piecewise Functions. Vocabulary Absolute Value Function – a piecewise function, written as f(x)=, where f(x) 0 for all values of x. Greatest.
basic functions.
Objectives: Graph the functions listed in the Library of Functions
Section 1.2 Analyzing Graphs x is the distance from the y-axis f(x) is the distance from the x-axis p. 79 Figure 1.6 (open dot means the graph does not.
4 minutes Warm-Up Graph the function , and then use the horizontal-line test to determine if the inverse is a function.
Chapter 1 Functions and Their Graphs
Lesson 9 – Special Functions Math 2 Honors - Santowski.
Free Phone $25 a month 100 minutes then 35c per min Free Phone $25 a month 100 minutes then 35c per min Free Phone $20 a month 75 minutes then 25c per.
Chapter 2 – Linear Equations and Functions 2.2 – Linear Functions and Function Notation.
PRE Lesson 2.1 What is a Function? Objectives: To review domain. To understand function notation. To understand how to evaluate functions and piecewise.
Increasing & Decreasing Functions A function f is increasing on an interval if, for any x 1 and x 2, in the interval, x 1 < x 2 implies f(x 1 ) < f(x 2.
2.2 Graphs Of Functions. 2 Objectives ► Graphing Functions by Plotting Points ► Graphing Functions with a Graphing Calculator ► Graphing Piecewise Defined.
1.6 Step and Piecewise Functions. Objective To identify and graph step and piecewise- defined functions.
2.2 The Graph of a Function Should I give up, or should I just keep chasing pavement, even if it leads nowhere? -Adele.
1.5 Library of Functions Classify functions and their graphs.
Functions. Function Notation f(x) is a fancy way of saying ____. Why use function notation?
2.2 day 3 The Piecewise Function
Piecewise Functions. Up to now, we’ve been looking at functions represented by a single equation. In real life, however, functions are represented by.
1.6 A Library of Parent Functions
1.6 A Library of Parent Functions Ex. 1 Write a linear function for which f(1) = 3 and f(4) = 0 First, find the slope. Next, use the point-slope form of.
Section 3.4 Library of Functions; Piecewise-Defined Functions.
Chapter 2 Examples Section 6 Special Functions. Example 1  Psychology  One psychologist charges for counseling at the rate of $85 per hour or any fraction.
Ch 4-3 Piecewise and Stepwise Functions C.N.Colon ALGEBRA-HP SBHS.
1.7 Piecewise Functions Objective: Identify and graph piecewise functions including greatest integer, step, and absolute value functions.
Section 1.3 More on Functions and Their Graphs
Warm Up Graph f(x) = 2x + 3 Graph f(x) = -3x + 1
Piecewise Functions At least 2 equations, each of which applies to a different part of the functions domain. It is like having 3 equations for 3 different.
1.6 A Library of Parent Functions
Section 1.3 More on Functions and Their Graphs
Piecewise Functions Notes
Sec. 2.4 Library of Functions
2.5 Piecewise Functions.
1.7 Represent Graphs as Functions
2-6 Special Functions.
1.6 A Library of Parent Functions
Piecewise Functions At least 2 equations, each of which applies to a different part of the functions domain. It is like having 3 equations for 3 different.
Piecewise-defined Functions
Graphing and Evaluating The Piecewise Function A Series of Examples
Graphing Step (Greatest Integer) Functions
Piecewise Graphs Lesson 7.4 Page 100.
Graph 2x + 4y = 16 by finding the x and y intercepts.
5.8 – Graphing standard form
SECTION 4-2 Using Intercepts.
Honors Algebra II with Trigonometry Mrs. Stacey
Warm-Up 4 minutes Graph each function: 1) Y = 3x - 2 Y = -½x + 4 Y = 8
Copyright © Cengage Learning. All rights reserved.
2.5 Library of Functions and Piece-Wise Functions
Piecewise-defined Functions
6-2 Slope-Intercept Form
4 minutes Warm-Up Graph. 5x – 4y = 20 2) x = 5 3) y = -2.
2.2 The Graph of a Function Should I give up, or should I just keep chasing pavement, even if it leads nowhere? -Adele.
2.2 The Graph of a Function Should I give up, or should I just keep chasing pavement, even if it leads nowhere? -Adele.
Properties of Rational Functions The Graph of a Rational Function
Presentation transcript:

2.5 Library of Functions and Piece-Wise Functions Aaron: Dude, one thing the guy said is you don’t taunt voodoo. Zak: Am I taunting? Aaron: Dude, you’re taunting the crap out of it! Zak: I am sorry, I am not taunting you I am just talking…Talking loudly!

Library of Functions greatest integer less than or equal to x

Piece-Wise Functions Domain: y -int: x -int: Find the following:

Piece-Wise Functions Domain: y -int: x -int: Find the following:

Piece-Wise Functions Find the domain, intercepts, and graph each function. D: y -int: x -int: D: y -int: x -int:

Piece-Wise Functions Write a rule for a piece-wise function for each graph.

Piece-Wise Application The function below represents the monthly cost C for x minutes of cell phone usage. 1) How much is the monthly charge for 425 minutes of usage? 600 minutes? 710 minutes? 2) How many minutes were used in one month if the cost was $167.00?

2.5 Library of Functions and Piece-Wise Functions Homework: p.115 #25 – 37 odd #41, 43 Aaron: Dude, one thing the guy said is you don’t taunt voodoo. Zak: Am I taunting? Aaron: Dude, you’re taunting the crap out of it! Zak: I am sorry, I am not taunting you I am just talking…Talking loudly!