Question

Для функции у=IxI найдите наименьшие значение на отрезке [-2;3].

Answer 1

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Answer 2

Все положительные 1, 2, 3]  Наименьшее значение 1 

Answer 3

Finding the Minimum Value of the Function u=|x|

To find the minimum value of the function u=|x| on the interval [-2, 3], we can evaluate the function at the endpoints of the interval and at any critical points within the interval.

1. Evaluate at Endpoints: - When x=-2, u=|-2|=2. - When x=3, u=|3|=3.

2. Evaluate at Critical Point: - The critical point occurs at x=0, where the function changes direction.

3. Conclusion: - The minimum value of the function u=|x| on the interval [-2, 3] is 0, which occurs at x=0.

This conclusion is based on the properties of the absolute value function, where the minimum value occurs at the point where the input is 0