If constant function is measurable then is it necessary that domain is measurable?

What is the significance of the first derivative of a function to be a constant?

If the first derivative if a function is a constant that the original function has only one slope across its entire domain, so it is a line.

Does every function have a domain and range?

yes, bcoz evey function gives some output for input. Except constant function.

Can a constant function be one to one?

Yes - if the domain is a single point. Not much point in having such a function, but it can exist.

If derivative of f equals 0 for all x in the domain of f then is f a constant function?

Yes.

Is every measurable functions continuous?

No, a measurable function may have a finite number of discontinuities (for the Riemann measure), or a countably infinite number of discontinuities (for the Lebesgue measure). It should also be bounded (have some upper and lower bound, or limit, in the domain that is being measured), to be measureable. At least, some unbounded functions are not measurable.No, a measurable function may have a finite number of discontinuities (for the Riemann measure), or a countably infinite number of discontinuities (for the Lebesgue measure). It should also be bounded (have some upper and lower bound, or limit, in the domain that is being measured), to be measureable. At least, some unbounded functions are not measurable.No, a measurable function may have a finite number of discontinuities (for the Riemann measure), or a countably infinite number of discontinuities (for the Lebesgue measure). It should also be bounded (have some upper and lower bound, or limit, in the domain that is being measured), to be measureable. At least, some unbounded functions are not measurable.No, a measurable function may have a finite number of discontinuities (for the Riemann measure), or a countably infinite number of discontinuities (for the Lebesgue measure). It should also be bounded (have some upper and lower bound, or limit, in the domain that is being measured), to be measureable. At least, some unbounded functions are not measurable.

What is the definition of the domain of function?

The domain of a function is simply the x values of the function

When the domain repeat it is a function?

No, when the domain repeats it is no longer a function

What is the domain of logarithm and exponential function?

Domain of the logarithm function is the positive real numbers. Domain of exponential function is the real numbers.

What is the Domain of the sin function?

The domain of the sine function is all real numbers.

How do you find and write the domain of a function?

how don you find write the domain of a function

How does the domain relate to a function?

Any function is a mapping from a domain to a codomain or range. Each element of the domain is mapped on to a unique element in the range by the function.

How can you find the domain and range of a function?

The domain is a subset of the values for which the function is defined. The range is the set of values that the function takes as the argument of the function takes all the values in the domain.