Question

As x approaches infinity, for which of the following functions does f(x) approach negative infinity? Select all that apply.

Select all that apply:

f(x)=x7
f(x)=13x4+1
f(x)=12x6+3x2
f(x)=−4x4+10x
f(x)=−5x10−6x7+48
f(x)=−6x5+15x3+8x2−12

Answer 1

Answer:

  (d)  f(x)=−4x4+10x

  (e)  f(x)=−5x10−6x7+48

  (f)  f(x)=−6x5+15x3+8x2−12

Step-by-step explanation:

In order for a polynomial to approach negative infinity when x approaches infinity, the leading coefficient must be negative. Choices with a negative leading coefficient are D, E, F.