# Which describes the end behavior of the graph of the function f(x)=-2x^3-5x^2+x?

a. f(x) approaches infinity as x approaches negative infinity and f(x) approaches infinity as x approaches infinity
b. f(x) approaches negative infinity as x approaches negative infinity and f(x) approaches negative infinity as x approaches infinity
c. f(x) approaches infinity as x approaches negative infinity and f(x) approaches negative infinity as x approaches infinity
d. f(x) approaches negative infinity as x approaches negative infinity and f(x) approaches infinity as x approaches infinity

I do not understand end behavior and my lesson does not explain it very well. I also have no textbook for this class. Help is greatly appreciated. Thanks!

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2. end behavior is when x becomes very large (approaching infinity) in the positive and negative directions

the behavior is driven by the term with the largest exponent ... in this case, the x cubed term

the odd power means that x^3 has the same sign as x

the negative coefficient (-2) changes the sign, so that at the ends, f(x) has the opposite sign of x

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3. Is it d?

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4. I am pretty sure it's right can you please check?

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5. in d, are the signs for x and f(x) the same or different

did you read my first response/explanation?

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6. C) f(x) approaches infinity as x approaches negative infinity and f(x) approaches negative infinity as x approaches infinity

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