we can write the statement -1is smaller than equal to x is smaller than equal to 1 by x € [-1, 1] (i) x€[-2, 2]
(ii) x€(-2,2)
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Abstract
Step-by-step explanation:
The notion of function is fundeimental to both pure and apphed mathematics. To give the “posh” definition first, if A and B are non-empty sets, a function f from A into B (usually written f: A→B) is defined as a subset f of the Cartesian product A × B with the property that, for all x in A and all y 1, y 2 in B,
(x,y1)∈fand(x,y2)∈f⇒y1=y2.
To put it anothe way, for every x in A, the domain of the function, there is a unique y in B such that (x, y)∈f. In practice we denote this unique y by f(x), and say that f(x) is the image of x under f, or the value of f at x. We shall sometimes want to refer to the domain A of f as dom f. The set B is sometimes called the codomain of f
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