Domain of definition. What is the difference between domain of a function $f$ and its domain of definition? I searched it in my books but did't got the answer. I am thinking like this 

If $f:[0,1]\rightarrow\mathbb{R}$ be a function (say) $f(x)=x^{2}$ then domain of $f$ is $ [0,1]$ and its domain of definition is $\mathbb{R}$.

Please give me the right definition. Thanks in advance.
domain of f is referring to the specified given cases.For example in real life, we always have bound for different function.(populationzxac cost, profit)

domain of definition only lies on the definition. It is a general case ignoring the bound.
domain of f is referring to the specified given cases.For example in real life, we always have bound for different function.(populationzxac cost, profit)

domain of definition only lies on the definition. It is a general case ignoring the bound.