Can someone please tell me how to solve the equation attached below and others like it?

Question

anonymous · Answer

attachment

tkhunny · Answer

What does this do as x decreases without bound?  f(x) = x (slope of +1?)
What does this do as x decreases without bound?  f(x) = -x (slope of -1?)
What does this do as x decreases without bound?  f(x) = x^3
What does this do as x decreases without bound?  f(x) = -x^3

anonymous · Answer

i view this as f(x) is ur y  so ur equation is  as y is positive and grows to a big number so ur x values are - and decrease as a big number . when u plug in say a large number 100 or 1 million ur going to get a positive value for f(x) and positive value for x value. I think it's true.... if my logic isn't flawed

tkhunny · Answer

$x \rightarrow -\infty$  This guy is headed for negative numbers!