Question

Which of the following functions represent exponential decay?

y = (3/4)x
y = -3x
y = (5/2)x
y = 2x

Answer 1

The function that represents exponential decay among the options given is y = (3/4)ˣ because its base, 3/4, is less than 1.

Step-by-step explanation:

The functions that represent exponential decay are those in which the base of the exponent (when the function is of the form y = abx, where a is a constant and the base b is between 0 and 1) is less than 1. Among the given options, the function y = (3/4)x is the one that represents exponential decay because 3/4 is less than 1. As x increases, the value of y will get smaller, which is a key characteristic of exponential decay functions.

Answer 2

y=(3/4)^x represents exponential decay since 3/4 is less than one, so y will become increasing smaller as the exponent increases