Read and analyze the following statements. If you think the statement suggests an incorrect idea, rewrite it on the given space, otherwise leave it blank.
1. A relation is a set of ordered pairs where the first element is called the range while the second element is the domain.
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2.A function can be classified as one-to-one correspondence, one-to-many correspondence and many-to-one correspondence.
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3. In a function machine, the input represents the independent variable while the output is the dependent variable.
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B. In three to five sentences, write the significance of function in showing real-life situations.
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C. In your own words, discuss when a piecewise function is being used.
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Answer:
1.A relation is a set of ordered pairs where the first element is called domain while the second element is the range.
2.A function can be classified as one to one correspondence and many to one correspondence,it couldnt be one to many because a relation to be considered as a function shouldnt have the same domain.
3.Variables are used to represent values we don't know or that may change.For a function,the input is called the independent variable,and the output is called the dependent variable.This is because the output depends on the input.
B.In mathematics,function define as a binary relation between two sets that in every element of the first set as input has corresponding value in the output or another element of the second set.
C.When the output value crosses specific boundaries,we utilize piecewise functions to describe how a rule or relationship changes.
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