Question

What is the asymptote of the exponential function y = abx + c?

A) y = 0
B) y = a
C) y = b
D) y = c

Answer 1

The correct answer to this question is Choice D: y = c

This is a horizontal asymptote at y = c. The c is the constant value that is added on to the function. The first part of the equation "y=ab^x" is always going to be a positive number bigger than zero. Therefore, the graph will always be just a little bit bigger than c, it can't equal c.