PERT Question of the Day Your car gets about 20 miles per gallon. You are planning to drive to see your friends who live about 850 miles away. How many.

Slide 1PERT Question of the Day Your car gets about 20 miles per gallon. You are planning to drive to see your friends who live about 850 miles away. How many gallons of gas will you need to purchase to make the trip to see your friends and to return home? Assume your tank is empty. a) About 20 gallonsb) About 41 gallons c) About 85 gallonsd) About 48 gallons Slide 2Relations and Functions Notes Algebra Extension 2-1 pg 105 Slide 3Relation Definition: a set of ordered pairs of input and output values EX: A motion detector tracks an egg as it drops to the ground, with input values (time) and output values (height) with the relation: {(0,10), (0.2, 9.4), (0.4, 7.4)…} Slide 4EX: Graphing Relations Graph the relation {(0, 4), (-2, 3), (-1, 3), (-2, 2), (1, -3)} Slide 5Domain vs. Range The Domain of a relation is the set of all inputs, or x-coordinates The Range of a relation is the set of outputs, or y-coordinates Slide 6EX: What are the domain and range of the 10 data points? Slide 7Mapping Domain and Range Represents a relation by linking domain elements to corresponding range elements with arrows EX: Map {(2, 8),(-1, 5),(0, 8),(-2, 3)} DomainRange Slide 8Classwork Part A Heading: AE 2-1 pg 109 #1-10 Complete #1-4 on graph paper You may work with ONE partner We will move on in 15 minutes Slide 9Functions Definition: a relation in which each element of the domain is paired with EXACTLY ONE element of the range. YES NO Slide 10EX: Is the relation a function? {(-3, ½), (½, -3), (2, 2,), (3, 2)} Slide 11Vertical Line Used for determining whether or not a relation is a function on a graph How: scroll a line (pencil) vertically across a graph. If your line goes through more than one point at the same time, then the relation is not a function. Slide 12EX: A function or not a function, that is the question. Slide 13Classwork part B (add to previous) Heading: pg 109 # 12-21 You may work with ONE partner Whole assignment is due by the end of class We will go over select answers towards the end of class.