Algebra 2 Unit 2 Piece-wise Functions. Graph the Following Southwest Airlines from SF to Seattle An airplane took off and increased its speed steadily.

Slides:

Advertisements

Similar presentations

Linear Equations Review. Find the slope and y intercept: y + x = -1.

Advertisements

Model Problems Gallery Walk. Zombie Apocalypse The Zombie virus has been unleashed. If at time zero there is only one zombie and the population doubles.

4.7 Graphing Lines Using Slope Intercept Form

WRITING AN EQUATION FROM SLOPE INTERCEPT. Slope Intercept Form.

UNIT 2 1.7, 4.8 Introduction to Functions. 1.7, 4.8Introduction to Functions Definitions.

1.2 Functions Determine whether relations between two variables represent functions Use function notation and evaluate functions Find the domains of functions.

Section 1.2 Basics of Functions

TODAY IN ALGEBRA…  Warm up: Calculating Slope  Learning Goal: 5.1b You will write equations of lines in slope intercept form given two points  Independent.

WARM UP Evaluate 1.3x + y for x = 4 and y = 3 2.x² + 7 for x = 7 5 Minutes Remain.

Copyright © 2014, 2010, 2007 Pearson Education, Inc.

Graphing Piecewise Functions

Relation Input Output Function Domain Range Scatter Plot Linear Equation x - intercept y- intercept Slope Rise Run.

5-3 Slope Intercept Form A y-intercept of a graph is the y-coordinate of a point where the graph crosses the y-axis. *Use can use the slope and y-intercept.

Section 2.2 Functions  Functions & Graphs  Function Notation & Equations  Applications: Interpolation & Extrapolation 12.2.

Bellwork: Graph each line: 1. 3x – y = 6 2. Y = -1/2 x + 3 Y = -2

2.3 Introduction to Functions

LINEAR SYSTEMS – Graphing Method In this module, we will be graphing two linear equations on one coordinate plane and seeing where they intersect. You.

Pg. 30/42 Homework Pg. 42 #9 – 14, 20 – 36 even, 43, 46, 49, 53 #15D= (-∞, 3)U(3, ∞); R = (-∞,0)U(0, ∞)#17D= (-∞, ∞); R = [0, ∞) #19D= (-∞, 8]; R = [0,

Notes Over 4.8 Identifying Functions A relation where each input has exactly one output. Function Decide whether the relation is a function. If it is.

Modeling with a linear function P 10. Warm up Write down the formula for finding the slope of a line given 2 points. Write down the equation of a line.

LINEAR EQUATIONS AND INEQUALITIES College Algebra.

7.3 – Writing Equations in Slope Intercept Form Objective(s): to write a linear equation in slope-intercept form given the slope and y-intercept Standard(s):

Writing Linear Equations (Slope- Intercept Form).

Warm-Up 5 minutes 1. Graph the line y = 3x + 4.

1.8 Graphs and Functions A function is a relationship between input and output. In a function, the output depends on the input. There is exactly one output.

ALGEBRA II PART: 2 FUNCTIONS BASICS!!! You Put the Input in here Get magic number :D A function is an equation for which any x that can be plugged into.

Linear Functions and Slope

Lesson 4.7 Topic/ Objective: To evaluate and graph piecewise and step functions. EQ: How can you describe a function represented by more than one equation.

PIECEWISE FUNCTIONS. What You Should Learn: ① I can graph any piecewise function. ① I can evaluate piecewise functions from multiple representations.

Chapter 2 Linear Equations and Functions. Sect. 2.1 Functions and their Graphs Relation – a mapping or pairing of input values with output values domain.

Recall that the slope-intercept form of a linear equation of a non-vertical line is given by: Graphing Using Slope-Intercept Form.

Copyright © 2014, 2010, 2007 Pearson Education, Inc.

Copyright © 2014, 2010, 2007 Pearson Education, Inc.

Copyright © 2014, 2010, 2007 Pearson Education, Inc.

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.

Copyright © 2014, 2010, 2007 Pearson Education, Inc.

Module 1 Review ( ) Rewrite the following equations in slope-intercept form (solve for y), then graph on the coordinate plane.

College Algebra Chapter 2 Functions and Graphs

4.8 Functions and Relations

Copyright © 2014, 2010, 2007 Pearson Education, Inc.

Chapter 2 Section 2 Linear Equations Pt 1

graphing Linear equations & functions

Notes Over 2.1 Function {- 3, - 1, 1, 2 } { 0, 2, 5 }

Using the Slope Formula

Copyright © 2014, 2010, 2007 Pearson Education, Inc.

You will need: calculator

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

Section 1.1 Functions and Change

Graphing and Evaluating The Piecewise Function A Series of Examples

Define evaluate and compare functions

Copyright © 2014, 2010, 2007 Pearson Education, Inc.

College Algebra Chapter 2 Functions and Graphs

Topic/ Objective: To evaluate and graph piecewise and step functions.

Copyright © 2014, 2010, 2007 Pearson Education, Inc.

2.1 Relations and Functions

Write the equation for the following slope and y-intercept:

Graphing and Writing Equations in Standard Form

Lesson 1.2 Functions Essential Question: What is a function? How do you represent a function? What are the characteristics of a function?

2-4: Writing Linear Equations Using Slope Intercept Form

2.6 Draw Scatter plots & Best Fitting Lines

2.1: Relations and Functions

Unit 4: Mathematical Models

2.7 Piecewise Functions Algebra 2.

Unit 3-Section 4 “Functions, Tables, Graphs”

Students, Take out your calendar and your homework

Objectives: To graph lines using the slope-intercept equation

Unit 5: Linear Functions & Slope Intercept

ALGEBRA I - REVIEW FOR TEST 2-1

Equations & Graphing Algebra 1, Unit 3, Lesson 5.

Presentation transcript:

Algebra 2 Unit 2 Piece-wise Functions

Graph the Following Southwest Airlines from SF to Seattle An airplane took off and increased its speed steadily for 15 minutes until it reach a speed of 600 mph. For 30 minutes, the plane flew at 600 mph. The airplane began to slow down steadily until its speed was 300 mph, this took 8 minutes. The airplane circled the airport at a cruising speed of 300 mph for 7 minutes, and then slowed until it landed 15 minutes later. Represent this as a graph on the coordinate plane. Label the coordinate plane.

Seattle Great Wheel The Seattle Great Wheel is one hundred seventy five high and sits at Pier 57 on Elliot Bay in Seattle. One full rotation takes twelve minutes. Graph two full rotations on the coordinate plane. Use time and height above the ground as your measurements.

Linear Functions Previous knowledge: Linear Functions Slope, formula, find slope given two points Graphing, standard and slope-intercept form, x and y intercepts Writing Equations, given two points write equation of a line

Functions Definition of a Function: A relation where for every value of the domain there is one and only one value of the range. Definition: The domain is the input or x values of the set of coordinate points. Definition: The range is the output or y values of the set of coordinate points. Function Notation

Piece-wise Functions Definition: A function made up of more than one equation each corresponding to a different part of the domain. I can: (a) evaluate, (b) graph, and (c) write the function