Math test 1

Task 1.
Question 1. What is called a function?
1.number;
2. the rule according to which each value of the argument x in corresponds to one and only one value of the function y;
3. vector;
4. matrix;
5. there is no correct answer.
Question 2. When can you define the inverse function?
1. when each element has a unique preimage;
2. when the function is constant;
3. when the function is not defined;
4. when the function is multivalued;
5. there is no correct answer.
Question 3. What function is called limited?
1.reverse;
2. a function f (x) is called bounded if m≤f (x) ≤M;
3. complex;
4. a function f (x) is called bounded if f (x)> 0;
5. a function f (x) is called bounded if f (x) ≤0;
Question 4. What point is called the limit point of the set A?
1. zero;
2. mx0 is called the limit point of the set A if any neighborhood of the point x0 contains points of the set A that differ from x0;
3. does not belong to the set A;
4. there is no correct answer;
5. lying on the boundary of the set.
Question 5. Can there be a limit at a point if the one-sided limits are not equal?
1. yes;
2. sometimes;
3. no;
4. always;
5. there is no correct answer.
Task 2
Question 1. Is the function infinitesimal as x → ∞?
1. yes;
2. no;
3. sometimes;
4. always;
5. there is no correct answer.
Question 2. Is the function infinitely large as x → ∞?
1. yes;
2. no;
3. sometimes;
4.if x = 0;
5. there is no correct 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 correct 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 correct answer.
Question 5. Is the function y = tg x infinitely large at point x0 = 0?
1. yes;
2. sometimes;
3. always;
4. no;
5. there is no correct answer.