Question: Generate a continuous and differentiable function f(x) with the following properties: f(x) is decreasing at x = -5 f(x) has a local minimum at x

Generate a continuous and differentiable function f(x) with the following properties:

  • f(x) is decreasing at x = -5
  • f(x) has a local minimum at x = -3
  • f(x) has a local maximum at x = 3

Please provide a detailed explanation of what each property means.

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