Question

Which equation represents a nonlinear function? y=−85x+19.4 y = − − 8 5 x + 19.4 y=−12x2−7 y = − − 1 2 x 2 − − 7 y=x4+x y = x 4 + x y=32−4

Answer 1

Answer:

The answer is below.

Step-by-step explanation:

The options are not clear. I would solve a similar question.

A linear function is a function in the form:

y = mx + b;  where y and x are variables, m is the slope and b is the y intercept.

From the options:

a) x(y - 5) = 2

xy - 5x = 2.   Since the equation is not in the form of y = mx + b, hence it is not a linear function. It is a nonlinear function.

b) y - 2(x + 9) = 0

y - 2x - 18 = 0

y = 2x + 18. The equation is in the form of y = mx + b, hence it is a linear function.

c) 3y + 6(2 - x) = 5

3y + 12 - 6x = 5

3y = 6x - 7. The equation is in the form of y = mx + b, hence it is a linear function.

d) 2(y + x) = 0

2y + 2x = 0

2y = -2x. The equation is in the form of y = mx + b, hence it is a linear function.