Let G and H be the two graphs in the figure. G H Please find .G/, !.G/, .H /, and !.H /.

Section 2.1. Recommended Problems (pg. 27): 1, 3, 6. Functions in the Real World • Function: rule associating the values of one quantity (dependent variable) with the values of another (independent variable); in other words, for every single value of the independent variable there is precisely one associated value for the dependent variable o Depicted in one/four ways: 1. Formulas/equations 2. Graphs 3. Tables 4. Words A. Representing Functions with Formulas and Equations • Think of this as “a relationship between two quantities that is given as a formula” • EXAMPLES: 2 o Formula for area of a circle: A = π r o F = (9/5)C + 32 - Formula comparing Farenheit to Celsius B. Representing Functions with Graphs • Valuable because they display accurate information as well as describing an overview of the behavior of that quantity (aka – trends, patterns) • NOT every graph represents a function – it is possible that a graph does not satisfy the condition that there is precisely one related value for the DV that relates to the value of the IV. C. Representing Functions with Tables D. Representing Functions with Words • Common words/phrases used: o Related to o Depends on o Measurement of something overtime is a function of something else o One quantity is a multiple of another quantity o One quantity