Determine if each function is linear or nonlinear. drag each function into a box to correctly classify it. a: y=2x^3 b: y = x + 5 c: y=x^2−3 d: 5x + 5y = 25 y=x^2/2

A:  Nonlinear; B:  Linear; C:  Nonlinear; D:  Linear; E:  Nonlinear

Step-by-step explanation:

In order for a function to be linear, the power of the variable x must be 1.

In function A, the power of x is 3; this makes the function cubic, not linear.

In function B, the power of x is 1; this makes the function linear.

In function C, the power of x is 2; this makes the function nonlinear.

In function D, the power of x is 1; this makes the function linear.

In function E, the power of x is 2; this makes the function nonlinear.

linear pair postulates