There need not be any relationship.
A function.
Function
function rule
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.
There need not be any relationship.
A function.
is unknown
Design
The relationship between work input and work output is defined by the efficiency of a system. Efficiency is a measure of how well a system converts input work into output work and is calculated as the ratio of output work to input work. A higher efficiency indicates a more effective conversion of work input to work output.
Function
Returns to scale refer to a special relationship between output and input. During production, this relationship refers to the connection between the changes that occur with the output and those that began in the input.
yes
function
The constant of proportionality can be calculated by dividing the output variable by the input variable in a proportional relationship. It represents the ratio between the input and output quantities in the relationship. This constant remains the same throughout the relationship.
function rule
: It depicts a relationship between output and a given input.