how relations become functions


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Determine whether the relation is a function or not. If so, find its ..
Determine whether the relation is a function or not. If so, find its domain and range. {(1, - 2), (3, - 2), (- 5, - 2), (1, 1)} => It is a function, domain: {1, 5, - 3, 1}, range: {- 2, 1}. or It is not a function. or It is a function, domain: {- 1,..
Determine whether the relation is a function or not. If so, find its ..
Determine whether the relation is a function or not. If so, find its domain and range. (2, - 4), (5, - 4), (- 8, - 4), (2, 1) => It is not a function. or It is a function, domain: - 4 and 1, range: - 2, 5, - 8, and 2. or It is a function, domain: - ..
Test for Functions (Summary)
The relation should be one-one or many-one, and Every first element is mapped which means that every pre-image should have an imag..
Many-one function
Every one element of A corresponds to more than one element of B. In example 3, one image has three pre-images. In example 4, one image has four pre-images. Therefore, many-one relations in examples 3 and 4 are many-one functions. Consider the following examples and note why th..
One-one function
Every one element of A corresponds to one element of B. Every first element has a corresponding second element. One-one relations in examples 1 and 2 are called one-one functions. Every element of set A has one image in set B. {(1, 4), (2, 4), (3, 4), (4, 5)} Here, one image ..
Function Solved Examples
The arrow diagram represents a relation from set A to set B. (i) Represent the relation in roster form. (ii) Is this relation a function? Give reason for your answer. (i) {(1, 2), (2, 4), (5, 2), (3, 10), (4, 10)} (ii) Yes it is a function. E..
Draw the mapping diagram for the relation and determine whether it is ..
Draw the mapping diagram for the relation and determine whether it is a function or not. {(3, - 1),(6, - 1),(3, - 2),(6, - 2)} => Figure 1, Relation is a function or Figure 2, Relation is not a function or Figure 4, Relation is a..
Determine whether the relation represented by the set of ordered pairs..
Determine whether the relation represented by the set of ordered pairs below is a function or not. (1, - 3), (4, - 3), (- 6, - 3), (1, 1). => It is not a function. or It is a function. or It is a function with same domain and range. or cannot be det..
Frank works as a sales person. He earns a salary of $425 and 4% commis..
Frank works as a sales person. He earns a salary of $425 and 4% commission on his monthly sales. Write a function rule that relates his total earnings to sales and find his earnings for the month, if his monthly sales are $4000. => $600 or $585 or $575 or $745..
Determine whether the relation represented by the set of ordered pairs..
Determine whether the relation represented by the set of ordered pairs below is a function. Give the domain and range, if it is a function. (- 4, 2), (- 8, 5), (9, 5), (- 10, 7). => It is a function, domain: - 8, 9 and - 10, range: 2, 5 and 7 or It is a ..
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