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

  • algbra -

    I saw your earlier posting of this same question.
    I don't know what you expect us to do here.

    Just plug in the given values of x for each function using your calculator for the more complicated ones, and create a set of points for each equation.

    I would graph each function on the same graph using different colours for each one, that way you can see which one increases more quickly than another.

    btw, the choice of x=16, and even x=8, is a poor choice, since the function values are very large and would be unreasonable choices for graphing.
    e.g. if x=16 , for your first equation f(16) = 3297, rather silly for graphing.

  • algbra -

    So if you saw my posting earlier why wouldn't you answer it, I just didn't plug it in because I wanted to for my health. I needed help that what I though you were here for not sarcism. I can't help the problem the professor gives me to work with, you may think they are silly. But I am still required to anwser the question. But thank you for the information that you gave me along with your sarcism.

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