FunctionsWhat is a FunctionDefinition of a FunctionEvaluating Possible FunctionsFunction NotationUsing Function NotationDefining a function on the TI-CalculatorUsing TI-Calculator FunctionsAssignmentFunctionsLesson 1.1What is a FunctionA relationship between two quantitiesRepresented by:A tableA formula A = r2A descriptionA graphx 7 2 9 3y 8 4 0 5Definition of a FunctionMathematical definition:A set of ordered pairs where no two ordered pairs have the same first elementEvaluating Possible FunctionsWhich is a function?{(2,3), (4,7), (9,3)}{(2,3), (4,7), (2,9)}{(2,3), (4,7), (9,2)}Function NotationIf we say “R is a function of t” the notation is …R = f(t)Note: f(t) does not mean f * tUsing Function NotationSuppose we say h(t) = -16t2 +64tThe height of a ball thrown into the air is a function of t, timeWe evaluate functions by substituting a value for time into the formulaThat ish(3) = -16*32 + 64*3Which evaluates to ???View TI nSpire demoDefining a function on the TI-CalculatorEnter the formula as shown on the command line:-> is the STO> key-> is the STO> keyUsing TI-Calculator FunctionsOn the entry line enter h(3)Press <enter>Try evaluating the function h(t) for different values of th(7)h(-4)h(x+2)Evaluate a function with a spreadsheetEvaluate a function with a spreadsheetAssignmentLesson 1.1Page 6Exercises1 – 29
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