Question

what is interval and domain? what are its type?​

Answer 1

Answer:

In the previous examples, we used inequalities and lists to describe the domain of functions. We can also use inequalities, or other statements that might define sets of values or data, to describe the behavior of the variable in set-builder notation. For example, \displaystyle \left\{x|10\le x<30\right\}{x∣10≤x<30} describes the behavior of \displaystyle xx in set-builder notation. The braces { } are read as “the set of,” and the vertical bar | is read as “such that,” so we would read \displaystyle \left\{x|10\le x<30\right\}{x∣10≤x<30} as “the set of x-values such that 10 is less than or equal to \displaystyle xx, and \displaystyle xx is less than 30.”

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Answer 2

Answer:

The domain of a function is the set of all values that the function can take as an argument. For example, if f(x) = 3/x , then x can be any value other than 0 (because 3/0 is undefined). An interval is a formal way of describing a continuous set of real values, and you can use it to describe a domain.