23
practice examMultiple Choice

Practice Exam

Question 23 • Mathematics I

An exponential growth function has an asymptote of y is equal to negative 3 Which might have occurred in the original function to permit the range to include negative numbers?

Answer
A
A whole number constant could have been subtracted from the exponent.
B
A whole number constant could have been subtracted from the exponential expression.
C
A whole number constant could have been added to the exponent.
D
A whole number constant could have been added to the exponential expression.

Explanation

An exponential function without a vertical shift has a horizontal asymptote at y = 0 and stays positive. Subtracting 3 from the exponential expression shifts the graph down, making its asymptote y = -3 and allowing the range to include negative values. So the matching choice is “a whole number constant could have been subtracted from the exponential expression.”

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