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The function f(x) = x³ - 3x² + 2x rises as x grows very large. O A. True O B. False

User Geoffrey
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2 Answers

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the function rises as x grows is true
User John Bernard
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17 votes
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We have to find what happens with f(x) when x grows very large.

The function is:


f(x)=x^3-3x^2+2x

When x grows very large, the term that has a higher degree will be the one that have the greatest effect in the value of f(x).

In this function, the term with the highest degree is x³.

As x grows very large, so does x³. Then, we can conclude that f(x) will also rise as does x.

Answer: True.

User Ryan Gooler
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3.1k points
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