Question

Which equation represents a nonlinear function?
Responses
A y = -2x + 5y = -2 x + 5
B
y = x + 5
3
y = x + 5 3
C y = 2x² + 9y = 2 x ² + 9
D
y = 1 x - 9
2

Answer 1

To determine which equation represents a nonlinear function, we need to analyze each option:

A) \( y = -2x + 5 \)
This is a linear function because it can be expressed in the form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.

B) \( y = \frac{x}{3} + 5 \)
This is also a linear function in the form \( y = mx + b \).

C) \( y = 2x^2 + 9 \)
This is a nonlinear function because it contains an \( x^2 \) term, which means it is a quadratic function.

D) \( y = \frac{1}{2}x - 9 \)
This is another linear function as it can be expressed in the \( y = mx + b \) form.

Based on this analysis, the equation that represents a nonlinear function is:

**C) \( y = 2x^2 + 9 \)**