Determine if each function is linear or nonlinear.



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linear nonlinear

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To properly classify functions as linear or nonlinear, it's important to understand the definitions of both types:

  • Linear Functions are typically in the form \( y = mx + b \), where \( m \) and \( b \) are constants. They graph as straight lines and have a constant rate of change.

  • Nonlinear Functions do not fit this format and can include polynomials of degree greater than one, exponentials, logarithmic functions, trigonometric functions, and others that do not produce a straight line when graphed.

Without specific functions provided, it's impossible to classify them directly. However, I can guide you on how to determine their classifications:

  • For example:
    • \( f(x) = 2x + 3 \) is linear.
    • \( g(x) = x^2 + 2 \) is nonlinear.

If you provide specific functions, I can classify them for you!