algebra

Consider the leading term of the polynomial function. What is the end behavior of the graph? Describe the end behavior and provide the leading term.
-3x5 + 9x4 + 5x3 + 3

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  1. the leading term has the greatest exponent ... 5 in this case
    ... you should use the "caret" symbol (^) for exponentiation

    5 is odd, so the behavior at the positive and negative ends of the graph are opposite

    a large negative x value causes the function to have a large positive value
    ... this is due to the negative coefficient of the 1st term

    the opposite can be said of a large positive x value

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