Question

an exponential function with a base between 0 and 1 represents exponential ________.

Explanation:

Exponential functions are of the form \( y = a^x \), where \( a \) is the base. When the base \( a \) is between 0 and 1 (i.e., \( 0 < a < 1 \)), as \( x \) increases, \( y \) decreases towards 0, and as \( x \) decreases (becomes more negative), \( y \) increases towards infinity. This behavior is characteristic of exponential decay. For example, if \( a = 0.5 \) and we have \( y = 0.5^x \), when \( x = 1 \), \( y = 0.5 \); when \( x = 2 \), \( y = 0.25 \); when \( x=- 1\), \( y = 2\), showing a decreasing trend as \( x \) increases, which is exponential decay.

Answer:

decay