Question 1010539
Given Image


<img src = "http://i.imgur.com/1j76v7Y.png">


The leading term is {{{4x^3}}}. Since the leading coefficient is positive and the exponent is odd, this means that the graph falls on the left side and rises on the right side.


So in terms of limit notation, we know


*[Tex \LARGE \lim_{x \to -\infty}\left[P(x)\right] = -\infty]


and


*[Tex \LARGE \lim_{x \to +\infty}\left[P(x)\right] = +\infty]


we can see this when we graph P(x)


{{{ graph( 500, 500, -10, 10, -150, 150, 0, 4x^3+11x^2+16x-9) }}}



so choice B is the only correct answer.