Question

is y = (2)^x exponential growth or exponential decay

Answer 1

ANSWER

Exponential growth

EXPLANATION

We want to identify if the given function is an exponential growth or decay function:

$y=(2)^x$

An exponential function is given generally as:

$y=a(b)^x$

where a = initial amount

b = exponential factor

For an exponential function, when b is greater than 0 or less than 1, the function is a decay function while when b is greater than 1, it is a growth function.

The given function has an exponential factor of 2. This is greater than 1.

Hence, the function is an exponential growth function.