Which of the following functions is not linear?
A)5X + 3Z
B)3X + 4Y + Z - 3
C)2X + 5YZ
D)Z
E)2X - 5Y + 2Z

Question

Quizplus · Accepted Answer

A function is linear if it can be expressed in the form of f(x) = ax + b, where a and b are constants. In option C, there is a term 5YZ which involves a multiplication of two variables, which violates the condition of linearity. All other options can be expressed in the form of f(x) = ax + b or f(x, y, z) = ax + by + cz + d, hence they are linear functions.

Which of the Following Functions Is Not Linear