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Online ProgramThe function \(f(x)= -\frac{1}{20}(x-5)^3+\frac{1}{20}(x^2+4)\) is the formula for the height and slope of a training ski slope for small children. Its graph is shown below. The ski slope begins with a height of meters and has a length of more than decameters. The parents of the children stated that the slope is too steep at the bottom end and want the slope to stop at a height of 5 meters to be safer. What is the domain of the function to ensure the safety the parents want?
- [0, 10]
- [-1, 11]
- (-∞, ∞)
- [0, 9]
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