Which is a shrink of an exponential growth function?
f(x) = 1/3(3^x)
f(x) = 3(3^x)
f(x) = 1/3(1/3)^x
f(x) = 3(1/3)^x

Solution:

A shrink of a function is the shrink in the vertical direction. It refers to that, for a value of x, the new function will have a lesser value, in the intervals with functions positive, or a greater value in the intervals with functions negative. This is the image of the new function which is shortened in the vertical direction.

The reason behind the rule is:

(a) For the given f(x), the graph a × f(x) where a > 1 represents the vertical stretch of f(x)

(b) For the given f(x), the graph a × f(x) where a < 1 represents the vertical shrink of f(x)

For the shrink of an exponential growth function, the base value should be more than 1.

f (x) = 1/3 (3^x) represents the shrink of an exponential function.

Therefore, the shrink of an exponential growth function is f(x) = 1/3 (3^x).