Vlastnosti funkcie - teória
[{"question":"Ktor\u00fd z\u00e1pis funkcie, v ktorej ku ka\u017ed\u00e9mu x existuje pr\u00e1ve jedno y, je spr\u00e1vny?","answers":["y = x","x = y","y = f(x)","x = f(y)"],"correct":"y = f(x)","order":"1"},{"question":"Ako naz\u00fdvame mno\u017einu v\u0161etk\u00fdch x, v ktor\u00fdch dan\u00e1 funkcia m\u00e1 zmysel?","answers":["obor","obor hodn\u00f4t","defini\u010dn\u00fd obor","funkcia m\u00e1 zmysel v ka\u017edom bode"],"correct":"defini\u010dn\u00fd obor","order":"2"},{"question":"Ako naz\u00fdvame premenn\u00fa x?","answers":["z\u00e1visl\u00e1","nez\u00e1visl\u00e1","kon\u0161tantn\u00e1","ako premenn\u00fa x"],"correct":"nez\u00e1visl\u00e1","order":"3"},{"question":"Ako naz\u00fdvame premenn\u00fa y?","answers":["z\u00e1visl\u00e1","nez\u00e1visl\u00e1","kon\u0161tantn\u00e1","ako premenn\u00fa x"],"correct":"z\u00e1visl\u00e1","order":"4"},{"question":"Dve funkcie f1 a f2 sa rovnaj\u00fa vtedy, ke\u010f sa rovnaj\u00fa ich defini\u010dn\u00e9 obory a ke\u010f pre ka\u017ed\u00e9 x, ktor\u00e9 patr\u00ed defini\u010dn\u00e9mu oboru plat\u00ed:","answers":["f1(x) = f1(y)","f1(x) = f2(x)","f1(y) = f2(x)","f1(y) = f2(y)"],"correct":"f1(x) = f2(x)","order":"5"},{"question":"Funkcia f je rast\u00faca, ak plat\u00ed, \u017ee f(x1) x2","x1 < x2","x1, x2 = 0"],"correct":"x1 < x2","order":"6"},{"question":"Funkcia f je klesaj\u00faca, ak plat\u00ed, \u017ee f(x1)>f(x2). \u010co mus\u00ed plati\u0165 pre x1 a x2?","answers":["x1 = x2","x1 > x2","x1 < x2","x1, x2 = 0"],"correct":"x1 < x2","order":"7"},{"question":"Funkcia f je p\u00e1rna, ak pre ka\u017ed\u00e9 x aj -x patriace defini\u010dn\u00e9mu oboru plat\u00ed?","answers":["f(x) = f(x)","f(x) = f(-x)","f(x) = -f(x)","(-f(x) = f(-x))"],"correct":"f(x) = f(-x)","order":"8"},{"question":"Funkcia f je nep\u00e1rna, ak pre ka\u017ed\u00e9 x aj -x patriace defini\u010dn\u00e9mu oboru plat\u00ed?","answers":["f(x) = f(x)","f(x) = f(-x)","f(x) = -f(x)","(-f(x) = f(-x))"],"correct":"(-f(x) = f(-x))","order":"9"},{"question":"Funkcia f je prost\u00e1, ak pre v\u0161etky x1 a x2 z D(f) plat\u00ed:","answers":["ak x1\u2260 x2 tak ani f(x1) \u2260 f(x2)","ak x1 = x2 tak ani f(x1) \u2260 f(x2)","ak x1\u2260 x2 tak ani f(x1) = f(x2)","ak x1 = 0 tak ani f(x1) = f(x2)"],"correct":"ak x1\u2260 x2 tak ani f(x1) \u2260 f(x2)","order":"10"}]