Determine if the fuction is a power function. If it is, then state the power and constant of variation.
f(x)=4x^(-3/5)
power is -3/5 and constant is 4
correct
To determine if a function is a power function, we need to check if it can be written in the form f(x) = kx^p, where k is a constant and p is the exponent (or power).
In this case, the given function is f(x) = 4x^(-3/5).
First, let's rearrange the equation to be in the standard power function form:
f(x) = 4 * (x^(-3/5))
From the equation, it's clear that the constant of variation, k, is 4.
The power, p, in this case, is -3/5.
Therefore, the given function f(x) = 4x^(-3/5) is indeed a power function, with a constant of variation of 4 and a power of -3/5.