What is the equation of the line representing the horizontal asymptote of an exponential function?

Question

y=0

x=0

y=x

y=1

Answer 1

The equation of the line representing the horizontal asymptote of an exponential function is typically:

y = 0

For many exponential functions of the form \( y = a \cdot b^x \) (where \( a \) is a constant and \( b > 0 \)), as \( x \) approaches negative infinity, the function approaches 0. Therefore, the horizontal asymptote is \( y = 0 \).