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.