Consider the following two functions:
G(x, y) =4x - 3y + 21
H(x, y) = 13xy
Which of the following is true regarding the linearity of the functions?
A) neither of the functions is linear
B) both functions are linear
C) g(x, y) is linear, but h(x, y) is not linear
D) h(x, y) is linear, but g(x, y) is not linear
E) h(x, y) is not linear, and g(x, y) is only linear when y ≥ 0

Question

Quizplus · Accepted Answer

G(x, y) = 4x - 3y + 21 is linear because it can be written in the form ax + by + c, which defines a plane in three dimensions. H(x, y) = 13xy is not linear because it involves the product of x and y, which makes it a nonlinear function.

Consider the Following Two Functions