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

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

Quizplus · Accepted Answer

g(x, y) is linear because it is a linear combination of x and y with constant coefficients. H(x, y) is not linear because it involves the product of x and y, which is a nonlinear operation.

Consider the Following Two Functions