Question

Найдите область значений функции

Answer 1

Так как x² ≥0
то -х² ≤ 0 ⇒
максимальное значение у буде при х=0
y max = 2-0=2
минимальное значение у = - ∞
Область значений Е(у)∈ (- ∞ ; 2]

Answer 2

Finding the Range of a Function

To find the range of a function, we need to determine the set of all possible output values (y-values) that the function can produce. Let's analyze the given sources to find the range of the function.

Source provides the equation y = 1 - 3tg^2 x. Unfortunately, the snippet does not provide any information about the range of this function.

Source presents the equation y = cos^2x + cosx + 2. Again, the snippet does not mention the range of this function.

Source gives the equation y = -4cosx and states that the range is [-4, 4]. This means that the function can produce any value between -4 and 4, inclusive. However, the snippet does not provide any further details about the function.

Source provides a step-by-step solution for a different problem and does not mention the range of any specific function.

Source presents a table with x and y values but does not provide any information about the range of a specific function.

Based on the available information, we can conclude that the range of the function is [-4, 4] according to Source However, without additional information, we cannot determine the range of the other functions mentioned.

Please note that the provided sources do not offer comprehensive information about the range of the given functions. It is recommended to consult additional sources or perform further calculations to obtain a more accurate range for each function.