Question

is the function $y = \frac{8}{x}$ linear or nonlinear? linear nonlinear

Explanation:

Step1: Recall linear function form

A linear function has the form \( y = mx + b \), where \( m \) and \( b \) are constants, and \( x \) is to the first power.

Step2: Analyze given function

The function \( y=\frac{8}{x} \) can be rewritten as \( y = 8x^{-1} \). Here, the exponent of \( x \) is \(-1\), not \( 1 \), so it doesn't match the linear function form.

Answer:

nonlinear