Question

Which equations define y as a nonlinear function of x?

A. y=7.4x
B. y=2x+5^2
C. y=10x^2
D. y=5x-3
E. y=x/2
F. y=2x^3+1

Answer 1

Equations C (y=10x^2) and F (y=2x^3+1) define y as a nonlinear function of x because they contain x raised to powers greater than 1.

Step-by-step explanation:

The equations that define y as a nonlinear function of x are C. y=10x^2 and F. y=2x^3+1. An equation is linear if it can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Equations A, B, E, and F are not linear because they involve powers of x greater than 1 (quadratic or cubic), which produces a curve rather than a straight line when graphed.