hich equation defines a function that is not linear?

1 answer

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.

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