Assignment:
Evaluate each of the functions below at x = 1, 2, 4, 8, and 16. Plot the graph of each function. Classify each as linear, quadratic, polynomial, exponential, or logarithmic, and explain the reasons for your classifications. Compare how quickly each function increases, based on the evaluations and graphs, and rank the functions from fastest to slowest growing.
- f(x) = x^3 - 3x^2 - 2x + 1
- f(x) = e^x
- f(x) = 3x - 2
- f(x) = log x
- f(x) = x^2 - 5x + 6
Provide complete and step by step solution for the question and show calculations and use formulas.