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Evaluating Functions and Describing Function Change Rates

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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.

f(x) = 3x + 2
f(x) = x2 + 5x + 6
f(x) = x3 + 3x2 + 2x + 1
f(x) = ex
f(x) = log x

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Solution Summary

This solution is comprised of a detailed, step-wise response regarding the rate at which the given functions change with increasing values of independent variables. It compares five types of functions: linear, quadratic, polynomial, exponential, and logarithmic functions. This solution is provided in an attached Word document.

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