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Which of the following functions represent as implicit function, where f(x) and 'Y' are dependent variables and x denotes independent variable?
  1. f(x) = 3x^2 + 4x + 1
  2. f(x) = x^3 + 2x^2 + 6x
  3. f(x) = x^3 + x^2y + 4y^2
  4. None of these
Explanation
  • Implicit functions involve both dependent (y) and independent (x) variables in the same equation without explicitly solving for y.
  • Explicit functions directly express y in terms of x (e.g., f(x) = 3x² + 4x + 1).
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