Question

A function f(x) has the following form: f(x)=kx⁻⁽ᵏ⁺¹⁾ 1

Answer 1

The function f(x) = kx^-(k+1) represents an inverse relationship with a constant k. As x increases, f(x) decreases and vice versa.

Step-by-step explanation:

A function of the form f(x) = kx-(k+1) represents an inverse relationship. In this equation, k is a constant value. As x increases, the exponent -k decreases, which means the value of f(x) increases. Similarly, as x decreases, the exponent -k increases, resulting in a smaller value for f(x).