[{"question":"Ur\u010dte D(f) funkcie f: y = log{1 - [\u221a(4 - x2<\/sup>)]}","answers":["(-\u221e, -2) U (2, \u221e)","(-2, 2)","R","< -2, -\u221a3 )U (\u221a3, 2>"],"correct":"< -2, -\u221a3 )U (\u221a3, 2>","order":"1"},{"question":"Ur\u010dte H(f) funkcie f: y = (x + 1)\/(x - 3)","answers":["R - {3}","(-\u221e, 1> U <3, \u221e)","R - {1}","< -1, 3>"],"correct":"R - {1}","order":"2"},{"question":"Ktor\u00e1 z uveden\u00fdch funcki\u00ed nie je prost\u00e1?","answers":["y = 5x + 4","y = 5x<\/sup>","y = log (8x)","y = x10<\/sup>"],"correct":"y = x10<\/sup>","order":"3"},{"question":"Ktor\u00e1 z uveden\u00fdch funcki\u00ed je p\u00e1rna?","answers":["y = 2x<\/sup> + 2(-x)<\/sup>","y = 2\/x","y = x*ln |x|","y = 5x\/(x2<\/sup>+1)"],"correct":"y = 2x<\/sup> + 2(-x)<\/sup>","order":"4"},{"question":"Ktor\u00e1 z uveden\u00fdch funkc\u00ed\u00ed je nep\u00e1rna?","answers":["y = x + x2<\/sup>","y = 2*sin x","y = (x+1)\/(x-3)","y = [1-2*(x2<\/sup>)]\/[1+2*(x2<\/sup>)]"],"correct":"y = 2*sin x","order":"5"},{"question":"Ur\u010dte, ktor\u00e1 funkcia je spojit\u00e1 na R","answers":["y = (x+1)\/(x-3)","y = 5*(x2<\/sup>) - 4x + 25","y=2\/\u221a(x-3)","y = -5\/x"],"correct":"y = 5*(x2<\/sup>) - 4x + 25","order":"6"},{"question":"Ktor\u00e1 z uveden\u00fdch funkci\u00ed sa rovn\u00e1 funkcii f: y = (x4<\/sup>)\/(x5<\/sup>) ?","answers":["y = 1\/x","y = x","y = (x7<\/sup>)\/(x6<\/sup>)","y=(x2<\/sup>)\/(x4<\/sup>)"],"correct":"y = 1\/x","order":"7"},{"question":"Ktor\u00e9 dve funkcie sa rovnaj\u00fa?","answers":["y = 1,y = x\/x","f(x) = [x3<\/sup>+2*(x2<\/sup>)+x+2]\/[x2<\/sup>+1], g(x) = x + 2","f(x) = [x2<\/sup> - 5x +6]\/[x - 3], g(x) = x - 2","f(x) =[\u221a(x2<\/sup>)]\/[\u221a(x+2)], g(x) = x\/[\u221a(x+2)]"],"correct":"f(x) = [x3<\/sup>+2*(x2<\/sup>)+x+2]\/[x2<\/sup>+1], g(x) = x + 2","order":"8"},{"question":"Pre prost\u00fa funkciu plat\u00ed:","answers":["x1 = x2, f(x1) \u2260 f(x2)","x1 \u2260 x2, f(x1) = f(x2)","x1 \u2260 x2, f(x1) \u2260 f(x2)","pre jedno x existuj\u00fa aspo\u0148 2 y"],"correct":"x1 \u2260 x2, f(x1) \u2260 f(x2)","order":"9"},{"question":"Pre funkcie f a g, ktor\u00e9 sa rovnaj\u00fa neplat\u00ed:","answers":["D(f) = D(g)","f(x) = f(g)","s\u00fa reprezentovan\u00e9 tou istou \u010diarou","ak f je rast\u00faca, tak g je klesaj\u00faca"],"correct":"ak f je rast\u00faca, tak g je klesaj\u00faca","order":"10"}]