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    Evaluate Functions for Given Value of X.

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    Evaluate the functions for th 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 (i.e. is there a pattern in the change, did the values double, or triple, increase by a certain factor, etc.

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

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    Solution Preview

    1. f(1)=1, f(2)=4, f(4)=10, f(8)=22, f(16)=46
    f(x) increases by a fixed rate 3.
    2. f(1)=2, f(2)=0, f(4)=2, f(8)=46, ...

    Solution Summary

    Functions are evaluated for given values of X. Patterns are also investigated.