Explain the first para.

Explain the first para. Sets. Relations and Functions IS that for all x e I. FAuivalently there is m and 1 M such that m S f (x) S M for all x l. E.g. f (x) = — is not bounded on (O. l) andf(x) = x 2 is bounded on 10, II. f z san or cos x are tx»unded functions on R whereas f (x) tan .t unbounded on r/2. R/2).

Dear student
The above paragraph focuses on Bounded functions.
a function f defined on some set X with real or complex values is called bounded, if the set of its values is bounded. In other words, there exists a real number M such that. for all x in X. such that fxM
Then examples of bounded and not bounded functions are given .
where fx=1x is not bounded on 0,1 and fx=x2 is bounded on 0,1and sinx and cosx are bounded functions on R whereas tanx is not boundedon -π2,π2


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