To determine the correct horizontal asymptote of the exponential decay function based on the properties of such graphs, we typically note that exponential decay functions approach a constant value but never actually reach it as the x-values increase or decrease towards infinity.
In general, for an exponential decay function of the form \( y = ae^{bx} + c \), where \( a \) is a positive constant, \( b \) is a negative constant (indicative of decay), and \( c \) represents a vertical shift, the horizontal asymptote is normally at \( y = c \).
Since you mentioned that the graph intersects a marked point on the y-axis and may involve a horizontal asymptote, without the exact graph or additional context like the equation parameters, we need to make some assumptions based on standard properties.
If the horizontal asymptote is at a y-value of 0 or a small positive value, it often indicates that the graph does not fall below this line as x approaches either positive or negative infinity.
Given the typical behaviors of exponential decay functions, the choice of the horizontal asymptote at y = 0 is frequently observed. Exponential decay functions approach this value as they decline.
Thus, based on the common properties of exponential decay functions, it is appropriate to conclude that:
The horizontal asymptote is at y = 0.