Function - A rule that describes a dependent

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Presentation transcript:

Objective - To represent functions using models, tables, graphs, and equations. Function - A rule that describes a dependent relationship between two quantities. Domain - The set of input values in a function. Range - The set of output values in a function.

Model: Table: Graph: Equation: p = n + 2 n p Let n = # of triangles Let p = the perimeter of each figure Table: Graph: Equation: p Dependent n p 8 7 6 5 4 3 2 1 p = n + 2 1 3 Dependent 2 4 perimeter 3 5 Line is discrete 4 6 n 5 7 0 1 2 3 4 5 6 7 # of triangles 6 8

Model: Table: Graph: Equation: p = 4n + 2 n p Let n = # of hexagons Let p = perimeter of figure Table: Graph: Equation: Dependent p n p p = 4n + 2 30 25 20 15 10 5 1 6 Dependent 2 10 perimeter 3 14 Line is discrete 4 18 5 22 0 1 2 3 4 5 6 7 n # of hexagons 6 26

$8.10 + 1.50 = $ 9.60 Let p = price of platter p = 1.50 w + 0.60 This chart shows the price of sliced fruit platters. 1) How much would a 6 lb. platter cost? $8.10 + 1.50 = $ 9.60 1.50 1.50 2) Write an equation for the cost of a platter that weighs w lbs. 1.50 1.50 Let p = price of platter 3) How much would a 10 lb. platter cost? p = 1.50 w + 0.60 p = 1.50 w + 0.60 Change Start Value p = 1.50 ( 10 ) + 0.60 p = 15.00 + 0.60 = $15.60

A taxi cab charges a flat rate of $2.50 and 15 c per mile. Write a linear equation for the charge in terms of the number of miles driven. Let C = charge in dollars Let m = # of miles driven C = 2.50 + 0.15 m Start Value Change

A phone company charges $17 A phone company charges $17.50 per month and 12 c for each additional minute . Write a linear equation for the charge in terms of the number of minutes. Let C = charge in dollars Let m = # of minutes C = 17.50 + 0.12 m Start Value Change

Equation: Graph: Table: A car’s fuel tank is filled at a rate of 1.6 gal/min. The tank held 5 gallons of gas before refueling. Equation: Let m = # of minutes Let V = Volume of gas in tank V = 5 + 1.6m Graph: Table: 30 25 20 15 10 5 m V Volume of gas in tank 2 4 6 8 10 5 8.2 11.4 14.6 17.8 21 Line is continuous 0 2 4 6 8 10 12 # minutes