Dr. Fowler  AFM  Unit 1-1 Functions

Dr. Fowler Class Introduction: FowlerMath.com Welcome! Seating Chart – Sit in your assigned seat at all times. Directions for each Powerpoint Lessons Download.  Click on downloaded file at the bottom of your computer to OPEN the Powerpoint. Click, "Present" (or "Slide Show, From Beginning" on older computers).  This will teach you "Step by Step" how to do the Math.  Take notes on the PowerPoint in your own writing (Printing is NOT acceptable). Copy every slide, and try to learn as you go.  WATCH the YouTube Videos that are linked inside the Powerpoint (use Headphones). The Videos are VERY helpful to help you learn the lesson. WORKSHEET PROBLEMS - Download and open the worsksheet.  Take notes on the Worksheet Problems.  Write down the problem, the steps to get the answer, and the correct answer. Try to learn how the problems work as you go. STAPLE BOTH together and hand in.  Put Your name & Lesson Number at the top of your paper. Put your completed Lesson into the box for your class period. * When finished, you can move to the next lesson.  When finished with a Unit, you do not have to take the Test before starting notes on the next Unit. ​All Tests – Must be done in class. Nobody can help you, but you can use your notes, calculator, and computer.

The Coordinate Plane Review: Quadrant II X<0, y>0 Quadrant I X>0, y>0 Origin (0,0) O Quadrant IV X>0, y<0 Quadrant III X<0, y<0

Relations & Functions Relation: a set of ordered pairs (x,y) Domain: the set of x-coordinates Range: the set of y-coordinates Note: When writing the domain and range, do not repeat identical values.

Relations and Functions Given the relation: {(2, -6), (1, 4), (2, 4), (0,0), (1, -6), (3, 0)} State the domain: D: {0,1, 2, 3} State the range: R: {-6, 0, 4}

Introduction to Functions – Video. Take notes quickly – not pausing: https://www.youtube.com/watch?v=wXAChECZf-o

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Determine whether each relation represents a function Determine whether each relation represents a function. If it is a function, state the domain and range. a) {(2, 3), (4, 1), (3, –2), (2, –1)} No, it is not a function. The element 2 is assigned to both 3 and –1. b) {(–2, 3), (4, 1), (3, –2), (2, –1)} Yes, it is a function because no ordered pairs have the same first element and different second elements. c) {(4, 3), (3, 3), (4, –3), (2, 1)} No, it is not a function. The element 4 is assigned to both 3 and –3.

1) Yes, this is a function since for any input x, when you multiply by -1/2 and then subtract 3, you would only get one output y. 2) No, this it not a function since for values of x greater than 1, you could get two outputs for y.

FUNCTION MACHINE

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

A A(w) = w(w-50) w Domain: 0 < w < 50 A rectangular garden has a perimeter of 100 feet. Express the area A of the garden as a function of the width w. Find the domain. w A A(w) = w(w-50) Domain: 0 < w < 50 Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Excellent Job !!! Well Done