Question

Determine the scale factor of the function f(x)=3/x

Answer 1

A scale factor is a number which scales, or multiplies, some quantity. The ratio of any two corresponding lengths in two similar geometric figures is also called a scale factor.

Given a function
$f(x)=\frac{3}{x}$
which is formed from the parent function
$f(x)=\frac{1}{x}$

The function
$f(x)=\frac{3}{x}$
was obtained from the parent function by multiplying the parent function by 3.

Therefore, the scale factor of the function $f(x)=\frac{3}{x}$ is 3.