Question
hich equation defines a function that is not linear?
Answers
GPT-4o mini
A function is considered linear if it can be expressed in the form \( y = mx + b \), where \( m \) and \( b \) are constants, and it represents a straight line.
Examples of equations that define functions that are not linear include:
1. **Quadratic Function:** \( y = x^2 \) - This is a parabola and is not linear.
2. **Cubic Function:** \( y = x^3 \) - This is a cubic function and also not linear.
3. **Exponential Function:** \( y = 2^x \) - This represents exponential growth and is not linear.
4. **Trigonometric Function:** \( y = \sin(x) \) - This sinusoidal function is periodic and not linear.
If you have specific equations in mind, please list them, and I can help identify which ones are not linear.
Examples of equations that define functions that are not linear include:
1. **Quadratic Function:** \( y = x^2 \) - This is a parabola and is not linear.
2. **Cubic Function:** \( y = x^3 \) - This is a cubic function and also not linear.
3. **Exponential Function:** \( y = 2^x \) - This represents exponential growth and is not linear.
4. **Trigonometric Function:** \( y = \sin(x) \) - This sinusoidal function is periodic and not linear.
If you have specific equations in mind, please list them, and I can help identify which ones are not linear.