Final answer:
The limit expression limx→[infinity]f(x)=-[infinity] corresponds to option C, indicating that the graph of the function falls or decreases on the right side as x increases.
Step-by-step explanation:
The limit expression limx→[infinity]f(x)=-[infinity] indicates that as the variable x increases without bound, the function f(x) continuously decreases without bound. This behavior means that the graph of the function declines or goes down as we move to the right along the horizontal axis. Therefore, the correct description that means the same as the limit expression is C. The graph falls on the right side.
Understanding limits and the behavior of graphs is a fundamental aspect of calculus, which explores the notions of continuity, slopes, and rates of change. The falling graph in this context signifies that as x approaches infinity, there may be a form of horizontal asymtptote that the graph approaches but never truly reaches, representing an unbounded decrease in the function values. It is crucial to have clear visuals of such mathematical concepts to grasp the intricate details conveyed by limit expressions.