Question

according to the graph of ( h(w) ) below, the line ( w = 0 ) is also the ____ for ( h(w) ).
a. rational expression
b. positive asymptote
c. negative asymptote
d. vertical asymptote
e. horizontal asymptote

Explanation:

A vertical asymptote is a vertical line \(x = a\) (in this case \(w = 0\)) where the function approaches infinity or negative infinity as \(x\) approaches \(a\). From the graph, as \(w\) approaches \(0\) (from the positive side, since \(w\) is likely non - negative in the context of the graph shown), the function \(H(w)\) behaves in a way that is characteristic of approaching a vertical asymptote. A rational expression is an algebraic expression, not a line. Positive and negative asymptotes are not standard terms in this context. A horizontal asymptote is a horizontal line \(y = b\) which the function approaches as \(x\to\pm\infty\).

Answer:

D. vertical asymptote