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Unformatted text preview: Group Activity 6 Name 2.2 Polynomials of Higher Degree Get into groups of three or four. This activity is to be done as a group. 1. This problem deals with the “positive end behavior” of polynomials, that is what happens to the height of the function as x goes to infinity (gets larger and larger). For example, the function to the right increases as x becomes larger. a) As x gets bigger and bigger, what happens to the height of the function f ( x ) = 3 x 3 2 x + 2? You might start by finding the height of the function at x = 10, x = 100 and x = 1000. You may also use a graphing calculator. b) As x gets bigger and bigger, what happens to the height of the function f ( x ) = 3 x 3 + 2 x + 2? c) How about f ( x ) = 3 x 4 4 x 3 + 2 x + 2? d) How about f ( x ) = 1 3 x 4 x 3 + . 1 x 6 ? e) What rule could you state about the positive end behavior of a polynomial? Explain your answer. Does it matter what the lower degree terms are? 2. This problem deals with the “negative end behavior”2....
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 Spring '08
 Hubbard
 Polynomials, Quadratic equation, Continuous function, higher degree, positive end behavior

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