|
Quote of the Day:
"Numerical precision is the very soul of science."
-- Sir D'Arcy Wentworth Thompson
Objectives:
The student will write the inverse function of a given function.
1. Hand back and go over the tests on chapter 3.
2. Hand out Sheets on Being Successful in Calculus
3. Discuss inverse functions again.
Examples:
y = 3x
Graph on the axes and show their relationship.
4. Play game: Guess my number.
Example:
I am thinking of a number between 1 and 100.
If I double my number,
then add 14 to it,
then take the square root of it,
and finally divide it by 6,
I get 1.
What is my number?
Do INVERSE operations to get the answer: 11.
Have different students give the four operations.
Another Example (to lead into logs and exponentials):
I am thinking of a number between 1 and 100.
If I take the log of my number (to the base 10),
then add 7 to it,
then divide by 3,
and finally square it,
I get 7.111111...
What is my number?
My number was 10.
5. Assignment:
p. 233 (1, 13, 14, 16, 17)
|