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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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