Quiz about Funkcije

Question 1

Ako je $$f\left(x\right)=\sqrt[]{x^2+x-20}$$ , koliko je $$f\left(-5\right)$$ ?

Accepted Answer

0

Answer

$$\sqrt[]{10}$$

Answer

$$\sqrt[]{50}i$$

Answer

$$\sqrt[]{40}i$$

Question 2

Domena funkcije $$\sqrt[]{5+2x}$$ je

Accepted Answer

$$\left[-\frac{5}{2},+\infty\right]$$

Answer

$$<-\frac{5}{2},+\infty>$$

Answer

$$R$$

Answer

$$<\frac{5}{2},+\infty>$$

Question 3

Slika funkcije $$f\left(x\right)=\left(x+3\right)^2$$ je

Accepted Answer

$$\left[0,+\infty\right]\ $$

Answer

$$R$$

Answer

$$<0,\infty>$$

Answer

$$\left[-\infty,0\right]$$

Question 4

Neka je funkcija sa skupa $$A=\left\{1,2,3,4,5\right\}$$ na skup $$B=\left\{5,6,7,8,9,10\right\}$$ zadana tablicom. Je li to preslikavanje injekcija, surjekcija i/ili bijekcija?

Accepted Answer

samo injekcija

Answer

bijekcija

Answer

ni injekcija ni surjekcija

Answer

samo surjekcija

Question 5

Neka je funkcija sa skupa $$A=\left\{1,2,3,4,5\right\}$$ na skup $$B=\left\{5,6,7,8,9,10\right\}$$ zadana tablicom. Je li to preslikavanje injekcija, surjekcija i/ili bijekcija?

Accepted Answer

ni injekcija ni surjekcija

Answer

samo injekcija

Answer

samo surjekcija

Answer

bijekcija

Question 6

Neka su zadane funkcije $$f\left(x\right)=x^{2\ }+5x-2$$ i $$g\left(x\right)=\frac{x+3}{2x-1}$$ . Koliko je $$f\left(-6\right)\cdot g\left(6\right)$$ ?

Accepted Answer

$$\frac{36}{11}$$

Answer

$$\frac{192}{13}$$

Answer

$$-\frac{12}{11}$$

Answer

$$\frac{12}{13}$$

Question 7

Slika funkcije $$f\left(x\right)=4-x$$ je

Accepted Answer

$$R$$

Answer

$$\left[4,+\infty\right]$$

Answer

$$\left[-\infty,4\right]$$

Answer

$$<-\infty,4>$$

Question 8

Domena funkcije $$f\left(x\right)=\frac{x^2-5x+6}{4x+3}$$ je

Accepted Answer

$$<-\infty,-\frac{3}{4}>\cup<-\frac{3}{4},+\infty>$$

Answer

$$<-\infty,\frac{3}{4}>\cup<\frac{3}{4},+\infty>$$

Answer

$$<-\infty,-\frac{4}{3}>\cup<-\frac{4}{3},+\infty>$$

Answer

$$R$$

Answer

$$<-\infty,2>\cup<3,+\infty>$$

Funkcije

9 questions

Hotel ima 45 soba od kojih su neke dvokrevetne, a neke trokrevetne. U hotel dolaze gosti i njihovo smještanje u sobe jest funkcija (svaki gost smješta se u jednu sobu). Ovakvo preslikavanje je:

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