Consider the rational function f(x)=5x4+9x+198x2−15. What monomial expression best estimates the behavior of 5x4+9x+19 as x→±∞? What monomial expression best estimates the behavior of 8x2−15 as x→±∞? Using your results from parts (a) and (b), write a ratio of monomial expressions that best estimates the behavior of 5x4+9x+198x2−15 as x →±∞. Simplify your answer as much as possible.
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Consider the rational function f(x)=5x4+9x+198x2−15.
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What monomial expression best estimates the behavior of 5x4+9x+19 as x→±∞?
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What monomial expression best estimates the behavior of 8x2−15 as x→±∞?
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Using your results from parts (a) and (b), write a ratio of monomial expressions that best estimates the behavior of 5x4+9x+198x2−15 as x →±∞. Simplify your answer as much as possible.
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