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A Relation R from A to B can be depicted pictorially using arrow diagram. In arrow diagram, we write down the elements of two sets A and B in two disjoint circles. Then we draw arrow from set A to set B whenever (a, b) ∈ R. An example of information depicted through an arrow diagram is shown below. For example:
A company has four categories of employees given by Assistants (A), Clerks (C), Managers (M) and an Executive Officer (E). The company provides ₹10,000, ₹25,000, ₹50,000 and ₹1,00,000 as salaries to the people who work in the categories A, C, M and E respectively. Here A_{1}, A_{2}, A_{3}, A_{4} and A_{5} are Assistants; C_{1}, C_{2}, C_{3}, C_{4} are Clerks; M_{1}, M_{2}, M_{3} are Managers and E_{1}, E_{2} are Executive Officers then the relation R is defined by xRy, where x is the salary given to person y.
The relation defined in the above arrow diagram from set P to set Q is
When x = 9, y = ±3
When x = 4, y = ±2
When x = 25, y = ±5
∴ x is a square of y.
A Relation R from A to B can be depicted pictorially using arrow diagram. In arrow diagram, we write down the elements of two sets A and B in two disjoint circles. Then we draw arrow from set A to set B whenever (a, b) ∈ R. An example of information depicted through an arrow diagram is shown below. For example:
A company has four categories of employees given by Assistants (A), Clerks (C), Managers (M) and an Executive Officer (E). The company provides ₹10,000, ₹25,000, ₹50,000 and ₹1,00,000 as salaries to the people who work in the categories A, C, M and E respectively. Here A_{1}, A_{2}, A_{3}, A_{4} and A_{5} are Assistants; C_{1}, C_{2}, C_{3}, C_{4} are Clerks; M_{1}, M_{2}, M_{3} are Managers and E_{1}, E_{2} are Executive Officers then the relation R is defined by xRy, where x is the salary given to person y.
Which among the above figures shows a Relation between the two non  empty sets?
Figures A and B show relations. Figure C shows a function but not a relation.
A Relation R from A to B can be depicted pictorially using arrow diagram. In arrow diagram, we write down the elements of two sets A and B in two disjoint circles. Then we draw arrow from set A to set B whenever (a, b) ∈ R. An example of information depicted through an arrow diagram is shown below. For example:
A company has four categories of employees given by Assistants (A), Clerks (C), Managers (M) and an Executive Officer (E). The company provides ₹10,000, ₹25,000, ₹50,000 and ₹1,00,000 as salaries to the people who work in the categories A, C, M and E respectively. Here A_{1}, A_{2}, A_{3}, A_{4} and A_{5} are Assistants; C_{1}, C_{2}, C_{3}, C_{4} are Clerks; M_{1}, M_{2}, M_{3} are Managers and E_{1}, E_{2} are Executive Officers then the relation R is defined by xRy, where x is the salary given to person y.
The relation defined in the above arrow diagram from set A to set B is
1,2,4 and 8 are factors of 8.
A Relation R from A to B can be depicted pictorially using arrow diagram. In arrow diagram, we write down the elements of two sets A and B in two disjoint circles. Then we draw arrow from set A to set B whenever (a, b) ∈ R. An example of information depicted through an arrow diagram is shown below. For example:
A company has four categories of employees given by Assistants (A), Clerks (C), Managers (M) and an Executive Officer (E). The company provides ₹10,000, ₹25,000, ₹50,000 and ₹1,00,000 as salaries to the people who work in the categories A, C, M and E respectively. Here A_{1}, A_{2}, A_{3}, A_{4} and A_{5} are Assistants; C_{1}, C_{2}, C_{3}, C_{4} are Clerks; M_{1}, M_{2}, M_{3} are Managers and E_{1}, E_{2} are Executive Officers then the relation R is defined by xRy, where x is the salary given to person y.
If the number of elements in set A and set B are p and q, then the number of relations from A to B are
A Relation R from A to B can be depicted pictorially using arrow diagram. In arrow diagram, we write down the elements of two sets A and B in two disjoint circles. Then we draw arrow from set A to set B whenever (a, b) ∈ R. An example of information depicted through an arrow diagram is shown below. For example:
A company has four categories of employees given by Assistants (A), Clerks (C), Managers (M) and an Executive Officer (E). The company provides ₹10,000, ₹25,000, ₹50,000 and ₹1,00,000 as salaries to the people who work in the categories A, C, M and E respectively. Here A_{1}, A_{2}, A_{3}, A_{4} and A_{5} are Assistants; C_{1}, C_{2}, C_{3}, C_{4} are Clerks; M_{1}, M_{2}, M_{3} are Managers and E_{1}, E_{2} are Executive Officers then the relation R is defined by xRy, where x is the salary given to person y.
If the number of elements in set A and set B are p and q then the number of functions from A to B are
Consider the graphs of the functions f(x), h(x) and g(x).
The domain of f(x) is ..................
f(x) = x. The domain of f(x) is R.
Consider the graphs of the functions f(x), h(x) and g(x).
The range of g(x) is ................
g(x) is the signum function. Its range is {–1, 0, 1}.
Consider the graphs of the functions f(x), h(x) and g(x).
The range of h(x) is .......................
h(x) = [x] is the greatest integer function. Its range is Z (set of integers)
Consider the graphs of the functions f(x), h(x) and g(x).
The value of h(–2.3) is ...................
h(–2.3) = [–2.3] = –3
Consider the graphs of the functions f(x), h(x) and g(x).
The value of f(10) is ...................
Since 10 > 0, f(10) = 1.
156 videos176 docs132 tests

156 videos176 docs132 tests
