Functions Lesson 1.1

What is a Function A relationship between two quantities Represented by: A table A formula A =  r2 A description A graph x 7 2 9 3 y 8 4 5

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

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)}

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

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

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

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

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