Question

is the function $y = \frac{3}{5} - \frac{3}{2}\sqrt{x}$ 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 (degree 1).

Step2: Analyze the given function

The given function is \( y=\frac{3}{5}-\frac{3}{2}\sqrt{x} \), which can be rewritten as \( y = \frac{3}{5}-\frac{3}{2}x^{\frac{1}{2}} \). Here, the exponent of \( x \) is \( \frac{1}{2} \) (not 1), so it does not match the linear function form.

Answer:

nonlinear