Test 5 - Potence, koreni, eksponentna, logaritemska funkcija 1. Podana je funkcija f (x) = 2x+1 − 3.
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A) Doloˇci zalogo vrednosti funkcije in nariˇsi graf funkcije f (x). (4 t.) b) Doloˇci niˇclo na 3 decimalna mesta natanˇcno. (3 t.) x c) Izraˇcunaj preseˇciˇsˇce s funkcijo g(x) = 2 + 1. Izraˇcunaj: 1 1 a) 27 3 + 8 3 (3 t.) b) log5 75 − log25 9 (3 t.) c) 342012 (3 t.) 3.
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Reˇsi enaˇcbo: √ √ √ a) x + 1 + x − 1 = 2 q √ 1 −x b) 0.25 x 42x 16 2−2 = 16x c) log(2x + 3) − log(x + 2) = log x − log(3x + 2) (4 t.) (4 t.) (4 t.) 4. Poenostavi: p p a) 3 x2 y 4 xy 2 p √ p √ b) 4 x2 y 2 z: 3 x 3 zy 2 (3 t.) (4 t.) Kriterij ocenjevanja: ocena% 1 0 − 44 2 45 − 60 3 61 − 75 4 76 − 88 5 89 − 100.