1. basic functions

2. 12 basic functions
Parent functions (the most basic way to write this function)
Identity function: f(x) = x
Squaring function: f(x) = x2
The cubing function: f(x) = x3
The reciprocal function: f(x) = 1/x
The square root function: f(x) =
The exponential function: f(x) = ex
The Natural logarithm function: f(x) = ln x

3. 8) The sine function: f(x) = sin x 9) The cosine function: f(x) = cos x 10) The absolute value function: f(x) = |x| 11) The greatest integer function: f(x) = int (x) 12) The logistic function: f(x) = e-x

4. Questions
Look at the handout of the 12 basic functions for the following questions.
1) 9 of the functions have domain (-∞,∞). Which 3 do not?
2) 1 of the functions has the domain of (-∞, 0) U (0, ∞). Which function is it, and why is it 0?
3) which 2 functions have no negative numbers in their domain? Of these 2, which one is defined at 0?

5. 4) Only 2 of 12 functions have points of discontinuity
4) Only 2 of 12 functions have points of discontinuity. Which 2 are they? Are these points in the domain? 5) Only 3 of 12 basic functions are bounded. Which 3? 6) 3 of 12 functions are even. Which are they?

6. Group activity
In groups of 4 or less: do exploration 1 on p. 104

7. Piecewise Functions
Piecewise functions are functions that have conditions on them
For example:

8. examples
Graph the piecewise function: 1)
2)  

9. Homework
p #1-34 all, 45, 48, 51