no
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If every input has an output. If two outputs are the same, they must have the same input.
True
What is the difference between output and input?If you sing into a microphone you can hear the microphone's output.Sound coming out of the power amp to the speakers.That is the input of the loudspeaker.Do you see the difference?Your voice is the microphone's input. Its output is electrical impulses that are input to the amplifier. The amplified impulses are the output of the amplifier and input to the speaker. Sound waves are output of the speaker and input to your ears.
It is the process which converts the input to output.
It is not. Suppose the function is "add 7".Then an input of 1 gives an output of 1+7 = 8.Double the input to 2 and the output is 2+7 = 9Whereas simply halving the output gives 9/2 = 4.5So the question is based on false premises.