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) = 2x - 5
2. f(x) = x2 - 4x + 3
3. f(x) = x3 + 4x2 - 2x - 3
4. f(x) = 7x
5. f(x) = log x
A range of functions are differentiated in order to extract information regarding rate of change. These functions are then compared graphically.