A coordinate plane's x-axis ranges from negative 2 to 12 and its y-axis ranges from negative 2 to 6, both by 2-unit increments. A solid curve and a dotted line with arrows at both ends are plotted. The solid curve intersects a marked point on the y-axis.
Use the graph of the exponential decay function to determine the equation for the horizontal asymptote of the sequence that is modeled by the graph.
(1 point)
The horizontal asymptote is at y=
1 answer
For an exponential decay function, the horizontal asymptote typically occurs at \( y = 0 \). This means that as \( x \) approaches infinity, the value of the function approaches 0 but never actually reaches it.
Therefore, based on the described graph, the horizontal asymptote is at:
y = 0.
