Algebra-1

The function y=∣x∣ is nonlinear.

Here's why:

Form of the Function: A linear function typically has the form y=mx+b, where m and b are constants. The function y=∣x∣, however, represents the absolute value of x. This form does not fit the linear equation format.

Nonlinear Function: The function y=∣x∣ is a piecewise function:

For x ≥ 0, y = x.

For x < 0, y = −x.