A function can only have one output, y, for each unique input, x.I.pdf

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This document discusses functions and their properties. It notes that a function can only have one output for each unique input, but then provides an example where the input x=10 has two outputs y=2001 and 2003. Therefore, it concludes that this is not a valid function since there are two outputs for a single input.

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A function can only have one output, y, for each unique input, x.
In our case x=10 has two output values y=2001 and 2003.DSo, two output for one input.
It is not a function,
Second question image is not visible
Solution
A function can only have one output, y, for each unique input, x.
In our case x=10 has two output values y=2001 and 2003.DSo, two output for one input.
It is not a function,
Second question image is not visible

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i do not agree with above statement. Mathematics is something related to day to day life . All the physical phenomena which is happening in world have there explaination in mathematica. Right from Aryabhatt who told the world that Earth revolves around the Sun with the help of mathematics which caused massive outrage among people who were linving in the world of superstitions, so it is related to our culture. Again even when Galelio gave the facts about hevenly bodies caused same thing and he even was sentenced to death for this brutual crime(considered during the period). Similarly what ever devlopment which happening which has made the world \"rocket and nuclear\" mathematics has great contribution in it and it is influncing our daily life. So even people like ARYABHATT who gave the world Zero (0) was not forgiven . Hence mathematics is directly influenced by culture of times. Solution i do not agree with above statement. Mathematics is something related to day to day life . All the physical phenomena which is happening in world have there explaination in mathematica. Right from Aryabhatt who told the world that Earth revolves around the Sun with the help of mathematics which caused massive outrage among people who were linving in the world of superstitions, so it is related to our culture. Again even when Galelio gave the facts about hevenly bodies caused same thing and he even was sentenced to death for this brutual crime(considered during the period). Similarly what ever devlopment which happening which has made the world \"rocket and nuclear\" mathematics has great contribution in it and it is influncing our daily life. So even people like ARYABHATT who gave the world Zero (0) was not forgiven . Hence mathematics is directly influenced by culture of times..

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