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In grammar school you probably called the domain the replacement set and the range the solution set.
Domain rules math. Since a function is defined on its entire domain its domain coincides with its domain of definition. They may also have been called the input and output of the function. The domain of y sin x is all values of x since there are no restrictions on the values for x.
The range of a function is all the possible values of the dependent variable y. Put any number into the sin function in your calculator. However this coincidence is no longer true for a partial function.
It is the set x in the notation f. The domain and range of a function is all the possible values of the independent variable x for which y is defined. The all important rule for a function in math that each value in the domain has only 1 value in the range would still be true if we had a second copy of 1 ordered pair.
Domain and range the domain of a function f x is the set of all values for which the function is defined and the range of the function is the set of all values that f takes. Any number should work and will give you a final answer between 1 and 1 from the calculator experiment and from observing the curve we can see the range is y betweeen 1 and 1. In mathematics the domain or set of departure of a function is the set into which all of the input of the function is constrained to fall.
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