Let the function be f(x) = 1/(x-1)
The domain is all allowable values for which the function can be defined.
Here, except 1, any number would give the function a meaningful value. If x=1, the denominator becomes 0 and the function becomes undefined. Therefore, the domain is all real numbers except 1.
The range is all values assumed by the function.
Here, the range is negative infinity to plus infinity (that is , all real numbers).
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The domain of the sine function is [-infinity, +infinity].The range is [-1, +1].The sine function is periodic. It repeats itself every 360 degrees or 2PI radians.
The domain of the sine function is all real numbers, or (-∞, ∞). Note the curly brackets around this interval, when a domain or range includes positive or negative infinity, it is never inclusive.
The doman can extend from negative infinioty to positive infinity. Its range is from (+)1 to (-)1.
The range of -sin x depends on the domain of x. If the domain of x is unrestricted then the range of y is [-1, 1].
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