from a handpicked tutor in LIVE 1-to-1 classes

# 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}).

## 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}

**Summary:**

The shrink of an exponential growth function is f(x) = 1/3 (3^{x}).

visual curriculum