3
QuizMultiple Choice

Adding and Subtracting Polynomials — Unit test

Question 3 • FL-1200700-Mathematics for College Algebra MIS

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?

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

Explanation

An exponential function has a horizontal asymptote set by the constant added to or subtracted from the exponential expression. To have an asymptote at y = –3, the function could be shifted down 3 units by subtracting a constant, which also allows its range to include negative numbers. So the correct choice is “A whole number constant could have been subtracted from the exponential expression.”

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