yes.since this functin is simple .and evry simple function is measurable if and ond only if its domain (in this question one set) is measurable.
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.
The domain of the constant function ( f(x) = 0.9 ) is all real numbers, typically denoted as ( \mathbb{R} ). This means that the function is defined for every real number input, and it will always output the constant value of 0.9, regardless of the input.
yes, bcoz evey function gives some output for input. Except constant function.
Yes - if the domain is a single point. Not much point in having such a function, but it can exist.
What is a function where each domain element is mapped to the same range element.
Yes.
The question seems to be incomplete or unclear regarding the function "Of 9." If you meant to refer to a specific function, please provide its definition or context. Generally, the domain of a function consists of all possible input values (x-values) for which the function is defined. For example, if the function is a constant function like ( f(x) = 9 ), the domain is all real numbers.
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.
The domain of a function is simply the x values of the function
No, when the domain repeats it is no longer a function
Domain of the logarithm function is the positive real numbers. Domain of exponential function is the real numbers.
The domain of the sine function is all real numbers.