Question

according to the graph of ( h(w) ) below, the ( w )-axis is also the ____ for ( h(w) ).
a. horizontal asymptote
b. vertical asymptote
c. rational expression
d. positive output

Explanation:

A horizontal asymptote is a horizontal line that the graph of a function approaches as \(x\) (in this case \(w\)) approaches positive or negative infinity. In the given graph of \(H(w)\), as \(w\) increases, the function \(H(w)\) gets closer and closer to the \(w -\)axis (\(H(w)=0\)). A vertical asymptote is a vertical line \(x = a\) where the function approaches infinity or negative infinity as \(x\) approaches \(a\). A rational expression is a ratio of two polynomials. Positive output just refers to the function values being positive. Since the graph approaches the \(w -\)axis (a horizontal line) as \(w\) increases, it is a horizontal asymptote.

Answer:

A. horizontal asymptote