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

an exponential growth function has an asymptote of ( y = - 3 ). which might have occurred in the original function to permit the range to include negative numbers?\na whole number constant could have been added to the exponential expression.\na whole number constant could have been subtracted from the exponential expression.\na whole number constant could have been added to the exponent.\na whole number constant could have been subtracted from the exponent.

an exponential growth function has an asymptote of ( y = - 3 ). which might have occurred in the original function to permit the range to include negative numbers?\na whole number constant could have been added to the exponential expression.\na whole number constant could have been subtracted from the exponential expression.\na whole number constant could have been added to the exponent.\na whole number constant could have been subtracted from the exponent.

Answer

Brief Explanations:

The general form of an exponential growth function is (y = a\cdot b^{x}+k), where (y = k) is the horizontal asymptote. For the parent exponential function (y = b^{x}), the asymptote is (y = 0) and the range is ((0,\infty)). If we want the range to include negative numbers and have an asymptote (y=- 3), we need to shift the parent function (y = b^{x}) downwards. When we subtract a constant from the exponential expression (i.e., (y=b^{x}-c) where (c>0)), the horizontal asymptote becomes (y=-c).

Answer:

B. A whole number constant could have been subtracted from the exponential expression.