How to Evaluate Functions
Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16. Describe the differences in the rate at which each function changes with increasing values of x.
1. f(x) = 5x - 3
2. f(x) = x2 - 3x + 2
3. f(x) = 2x3 + 7x2 - x - 1
4. f(x) = 10x
5. f(x) = ln x
This provides examples of using derivatives to find rate of change of functions.