Task 1

Question 1. What is called a function?

1. number;

2. The rule by which each value of argument x corresponds to one and only one value of y;

3. vector;

4. matrix;

5. there is no right answer.

Question 2. How is it possible to determine the inverse function?

1. when each element has a unique inverse image;

2. When the function is constant;

3. When the function is not defined;

4. When the function is multi-valued;

5. there is no right answer.

Question 3. What function is called Limited?

1 reverse;

2. The function f (x) is called bounded if m≤f (x) ≤M;

3. complex;

4. The function f (x) is called bounded if f (x)> 0;

5. The function f (x) is called bounded if f (x) ≤0;

Question 4: What is the point is called a limit point of A?

1. zero;

2. t.h0 called a limit point of A if every neighborhood of x0 contains a point of A different from x0;

3. does not belong to the set A;

4. there is no right answer;

5. lying on the boundary of the set.

Item 5. Can be a limit at the point when one-sided limits not equal?

1. yes;

2. Sometimes;

3. No;

4. always;

5. there is no right answer.

ACTIVITY 2

Question 1. Is the function of an infinitesimal as x → ∞?

1. yes;

2. No;

3. sometimes;

4. always;

5. there is no right answer.

Question 2. Is the function of an infinitely large as x → ∞?

1. yes;

2. No;

3. sometimes;

4. if x = 0;

5. there is no right answer.

Question 3. Is the function y = sin x infinitely large as x → ∞?

1. yes;

2. No;

3. sometimes;

4. always;

5. there is no right answer.

Question 4. Is the function y = cos x infinitely large as x → ∞?

1. yes;

2. No;

3. sometimes;

4. always;

5. there is no right answer.

Question 5. Is the function y = tg x infinite in Vol. X0 = 0?

1. yes;

2. Sometimes;

3. always;

4. No;

5. there is no right answer.