91Ó°ÊÓ

A function is bounded above if its entire graph lies below some horizontal line. Can a bounded above function have vertical asymptotes? Can a bounded above function have horizontal asymptotes? Explain.

If the graph of a function has a horizontal asymptote at \(y=a\) in such a way that \(y\) decreases to \(a\) as \(x \rightarrow+\infty\), what can you say about the graph of its derivative? Explain.