Question

Determine the end behavior of P(x) -3x^4+5x^3+4x -7

Answer 1

It has bad behavior you should she the conduct grade

Answer 2

Answer: Choice D

y goes to negative infinity for both cases of x going to infinity or negative infinity.

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Explanation:

The degree of this function is 4, as it is the largest exponent. The even number degree tells us that the end behavior is that either

case A: the endpoints rise together

or

case B: the endpoints fall together

In short, the endpoints are more or less mirror copies going in the same direction.

In this case, both endpoints fall together as the leading coefficient (-3) is negative. As x heads off to infinity, y will go to negative infinity. As x heads off to negative infinity, y will also go to negative infinity. Regardless of which direction x goes, y will go downhill.

note: your book may refer to this as "fall to the left and fall to the right".