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Свойства функций: тестирование знаний

Authored by Talgat Atykhan

Mathematics

10th Grade

Свойства функций: тестирование знаний
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15 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Определите область определения функции f(x) = 1/(x-3).

(-∞, 3) ∪ (3, +∞)

(-∞, +∞)

(-∞, 3)

(3, +∞)

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Найдите нуль функции f(x) = x^2 - 4.

x = -1

x = 1

x = 2, x = -2

x = 0

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Какой знак имеет функция f(x) = -x^2 + 5 на интервале (-3, 3)?

Отрицательная

Нулевая

Неопределенная

Положительная

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Постройте график функции f(x) = |x| - 2.

The graph is a U-shape opening downwards.

The vertex is at (0, 2) and intersects the x-axis at (0, 0).

The graph is a V-shape with vertex at (0, -2) and intersects the x-axis at (-2, 0) and (2, 0).

The graph is a straight line with a slope of 1.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Определите предел функции f(x) = (2x^2 - 8)/(x - 4) при x стремящемся к 4.

12

8

20

16

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Каковы асимптоты функции f(x) = 1/(x^2 - 1)?

Вертикальные асимптоты: x = 0, x = 2; Горизонтальная асимптота: y = 1.

Вертикальные асимптоты: x = 3, x = -3; Горизонтальная асимптота: y = -1.

Вертикальные асимптоты: x = 1, x = -1; Горизонтальная асимптота: y = 0.

Вертикальные асимптоты: x = -2, x = 2; Горизонтальная асимптота: y = 5.

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Определите область определения функции f(x) = sqrt(x + 5).

[-5, +∞)

[0, +∞)

(-∞, -5)

(-5, 0)

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