Algebra-1

The function y=2x³+12x²−4x+8 is nonlinear.

Here's why:

Form of the Function: A linear function is characterized by having a constant rate of change (slope) and a graph that is a straight line. The general form of a linear function is y=mx+b, where m and b are constants. In contrast, y=2x³+12x²−4x+8 includes terms with powers of x greater than 1 (specifically, 3x³ and 2x²), which are characteristics of nonlinear functions.

Nonlinear Function...