Question

complete the sentence below.
if, as ( x \to -infty ) or as ( x \to infty ), the values of ( r(x) ) approach some fixed number ( l ), then the line ( y = l ) is a __________ of the graph of ( r ).

if, as ( x \to -infty ) or as ( x \to infty ), the values of ( r(x) ) approach some fixed number ( l ), then the line ( y = l ) is a

of the graph of ( r ).

Explanation:

This is a definition - based question. In calculus, when the function \(R(x)\) approaches a fixed number \(L\) as \(x\) approaches positive or negative infinity, the line \(y = L\) is called a horizontal asymptote. By recalling the definition of horizontal asymptotes for a function \(y = R(x)\), we can fill in the blank.

Answer:

horizontal asymptote