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 x 7 2 9 3 y 8 4 5

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* *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