an exponential growth function has an asymptote of y = - 3. which might have occurred in the original…

Brief Explanations:

The general form of an exponential function is $y = a\cdot b^{x}+k$, where $y = k$ is the horizontal - asymptote. If the asymptote is $y=-3$, the function is of the form $y = a\cdot b^{x}-3$. Adding or subtracting a constant to/from the exponent ($x$) changes the $x$ - values for which the function is evaluated but does not directly affect the range in terms of allowing negative values. Adding or subtracting a constant to the exponential expression $b^{x}$ also does not directly relate to the range including negative values in the context of the asymptote. However, when we consider the form of the exponential function with a vertical shift, if we start with a basic exponential function $y = a\cdot b^{x}$ (range is $(0,\infty)$ for $a>0$ and $b > 1$ or $(0,-\infty)$ for $a<0$ and $b>1$) and we want the range to include negative numbers and have an asymptote of $y = - 3$, we can think of it in terms of vertical shifts. A vertical shift of the form $y=a\cdot b^{x}+k$ where $k=-3$ allows for the range to include negative values. This is equivalent to adding or subtracting a constant from the whole exponential expression.

Answer:

A. A whole number constant could have been added to the exponential expression.