What is the answer to this polynomial expression question?

For the polynomial: 

f(x) = -2x^3 - 2x^2 + 7x - 25 

as 

x --->  - ∞     f(x) ------> ∞

a) true 

b) false

1 Answer

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  • 4 weeks ago
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    Look at the first term:

    -2x³

    As x is infinately negative, x³ will continue to be negative.

    Multiply that by -2 and now it's positive.

    So the limit of f(x) as x approaches negative infinity would be positive infinity.

    So that statement is true.

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