Question
Which is a non lineear function
Y=4x
Y=-1/4x +4
Y =4/x
Y=4x-4
Y=4x
Y=-1/4x +4
Y =4/x
Y=4x-4
Answers
GPT-4o mini
A nonlinear function is one that does not form a straight line when graphed.
Let's analyze the functions you've provided:
1. **Y = 4x**: This is a linear function because it can be rewritten in the form \(y = mx + b\) (with \(m = 4\) and \(b = 0\)).
2. **Y = -1/4x + 4**: This is also a linear function in the form \(y = mx + b\) (with \(m = -1/4\) and \(b = 4\)).
3. **Y = 4/x**: This is a nonlinear function because it represents a hyperbola. The graph of this function is not a straight line.
4. **Y = 4x - 4**: This is a linear function because it can also be written in the form \(y = mx + b\) (with \(m = 4\) and \(b = -4\)).
Based on this analysis, the nonlinear function from your list is **Y = 4/x**.
Let's analyze the functions you've provided:
1. **Y = 4x**: This is a linear function because it can be rewritten in the form \(y = mx + b\) (with \(m = 4\) and \(b = 0\)).
2. **Y = -1/4x + 4**: This is also a linear function in the form \(y = mx + b\) (with \(m = -1/4\) and \(b = 4\)).
3. **Y = 4/x**: This is a nonlinear function because it represents a hyperbola. The graph of this function is not a straight line.
4. **Y = 4x - 4**: This is a linear function because it can also be written in the form \(y = mx + b\) (with \(m = 4\) and \(b = -4\)).
Based on this analysis, the nonlinear function from your list is **Y = 4/x**.