The uploaded image contains multiple-choice mathematical questions in Russian. Below are the solutions and explanations for each question:

Question 3:

Функция $y = 6^x$ на всей области определения является
$a)$ четной, $б)$ нечетной, $в)$ возрастающей, $г)$ убывающей.

Solution:
The function $y = 6^x$ is an exponential function with base greater than 1, so it is strictly increasing over its entire domain ($x \in (-\infty, +\infty)$). Hence, the correct answer is:
( в) возрастающей.

Question 4:

Область определения функции $y = -\cos{x}$ является промежуток
( а) (-\infty, +\infty),; б) [-2, 2],; в) (0, +\infty),; г) [-1, 1].

Solution:
The cosine function is defined for all real numbers ($x \in (-\infty, +\infty)$). Therefore, the domain of $y = -\cos{x}$ is also the entire real line. The correct answer is:
( а) (-\infty, +\infty).

Question 5:

Областью значений функции $y = 3\cos{x}$ является промежуток
( а) (0, 3),; б) (-\infty, +\infty),; в) [-3, 3],; г) [-1, 1].

Solution:
The cosine function $\cos{x}$ oscillates between -1 and 1. For $y = 3\cos{x}$, this range is scaled by 3, so the values of $y$ lie within $[-3, 3]$. The correct answer is:
( в) [-3, 3].

Question 6:

Множество $Y$—область изменения функции называется областью
( а) значений функции,; б) определения функции,; в) возрастания функции,; г) убывания функции.

Solution:
The range (область значений) of a function is the set of all possible output values $y$. Hence, the correct answer is:
( а) значений функции.

Question 7:

Если функция задана аналитически, то ей соответствует
( а) координаты,; б) таблица,; в) формула,; г) график.

Solution:
An analytical definition of a function involves a formula that specifies the relationship between $x$ and $y$. Therefore, the correct answer is:
( в) формула.

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Related Questions:

1. What properties differentiate even and odd functions?
2. How does the base of an exponential function affect its growth?
3. What transformations affect the domain and range of trigonometric functions?
4. How do you determine the domain of a composite function?
5. Why is it important to analyze the behavior of functions visually using graphs?

Tip:

For trigonometric functions like $y = a\cos{x}$, always consider both the amplitude and the periodicity to determine the range and behavior accurately!