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Functions

Functions. Lesson 1.1. What is a Function. A relationship between two quantities Represented by: A table A formula A =  r 2 A description A graph. Definition of a Function. Mathematical definition: A set of ordered pairs where no two ordered pairs have the same first element.

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Functions

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  1. Functions Lesson 1.1

  2. What is a Function • A relationship between two quantities • Represented by: • A table • A formula A =  r2 • A description • A graph

  3. Definition of a Function • Mathematical definition:A set of ordered pairs where no two ordered pairs have the same first element

  4. Evaluating Possible Functions • Which is a function? • {(2,3), (4,7), (9,3)}{(2,3), (4,7), (2,9)}{(2,3), (4,7), (9,2)}

  5. Function Notation • If we say “R is a function of t” the notation is …R = f(t) • Note: f(t) does not mean f * t

  6. Using Function Notation • Suppose we say h(t) = -16t2 +64t • The height of a ball thrown into the air is a function of t, time • We evaluate functions by substituting a value for time into the formula • That is • h(3) = -16*32 + 64*3 • Which evaluates to ??? View TI nSpire demo

  7. Defining a function on the TI-Calculator • Enter the formula as shown on the command line: -> is the STO> key

  8. Using TI-Calculator Functions • On the entry line enter h(3) • Press <enter> • Try evaluating the function h(t) for different values of t • h(7) • h(-4) • h(x+2) Evaluate a function with a spreadsheet

  9. Assignment • Lesson 1.1 • Page 6 • Exercises • 1 – 5, 7, 9, 11, 17, 19, 25, 31, 33

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