Math

How is an exponential function different from a polynomial function? Examples?

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  1. polynomials may have "wiggles" in them, and have either
    (a) a max or a min
    (b) go from -∞ to +∞

    pure exponentials (y=a*b^x) have a horizontal asymptote at y=0
    are always positive or negative, depending on the sign of a
    at some point they grow faster than any polynomial, no matter how high a degree

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