Funkcje z pierwiastkami i ich wykresy

Wysłane przez ladislav.foltyn w śr., 04/03/2019 - 20:37
Project ID: 
6000000043
Accepted: 
Podobszar: 
Potęgi i funkcje pierwiastkowe
Typ: 
Scrolling
Layout: 
6x6
Question: 
Dopasuj poniższe wykresy do odpowiadających im funkcji:
Questions Title: 
Wykresy:
Answers Title: 
Funkcje:
Question 1: 
{\obrA}
Question 1 Image: 
Answer 1: 

$f(x)=\left|\sqrt{x}\right|$

Question 2: 
{\obrB}
Question 2 Image: 
Answer 2: 

$f(x)=\sqrt{x^2}$

Question 3: 
{\obrC}
Question 3 Image: 
Answer 3: 

$f(x)=\sqrt{-x}$

Question 4: 
{\obrD}
Question 4 Image: 
Answer 4: 

$f(x)=-\sqrt x$

Question 5: 
{\obrE}
Question 5 Image: 
Answer 5: 

$f(x)=\sqrt{|x|}$

Question 6: 
{\obrF}
Question 6 Image: 
Answer 6: 

$f(x)=\left(\sqrt{x}\right)^2$

Tex: 
% ticket 32913 \def\delka{0.5cm} \def\obrA{\obrMsr[x=\delka,y=\delka]{-5}{5}{-5}5 { \footnotesize \obrClip \draw[gray!20,thin, step=1] (-5,-5) grid (5,5); \obrOsaX[above left] \obrOsaY[below right] \obrPopisX[below]{-4,-2,2,4} \obrPopisY[left]{-4,-2,2,4} \obrFce[domain=0:4]{(\x)^(1/2)} }} \def\obrB{\obrMsr[x=\delka,y=\delka]{-5}{5}{-5}5 { \footnotesize \obrClip \draw[gray!20,thin, step=1] (-5,-5) grid (5,5); \obrOsaX[above left] \obrOsaY[below right] \obrPopisX[below]{-4,-2,2,4} \obrPopisY[left]{-4,-2,2,4} \obrFce[domain=-4:4]{abs(\x)} }} \def\obrC{\obrMsr[x=\delka,y=\delka]{-5}{5}{-5}5 { \footnotesize \obrClip \draw[gray!20,thin, step=1] (-5,-5) grid (5,5); \obrOsaX[above left] \obrOsaY[below right] \obrPopisX[below]{-4,-2,2,4} \obrPopisY[left]{-4,-2,2,4} \obrFce[domain=0:-4]{(-\x)^(1/2)} }} \def\obrD{\obrMsr[x=\delka,y=\delka]{-5}{5}{-5}5 { \footnotesize \obrClip \draw[gray!20,thin, step=1] (-5,-5) grid (5,5); \obrOsaX[above left] \obrOsaY[below right] \obrPopisX[below]{-4,-2,2,4} \obrPopisY[left]{-4,-2,2,4} \obrFce[domain=0:4]{-(\x)^(1/2)} }} \def\obrE{\obrMsr[x=\delka,y=\delka]{-5}{5}{-5}5 { \footnotesize \obrClip \draw[gray!20,thin, step=1] (-5,-5) grid (5,5); \obrOsaX[above left] \obrOsaY[below right] \obrPopisX[below]{-4,-2,2,4} \obrPopisY[left]{-4,-2,2,4} \obrFce[domain=-4:0]{(abs(\x))^(1/2)} \obrFce[domain=0:4]{(abs(\x))^(1/2)} }} \def\obrF{\obrMsr[x=\delka,y=\delka]{-5}{5}{-5}5 { \footnotesize \obrClip \draw[gray!20,thin, step=1] (-5,-5) grid (5,5); \obrOsaX[above left] \obrOsaY[below right] \obrPopisX[below]{-4,-2,2,4} \obrPopisY[left]{-4,-2,2,4} \obrFce[domain=0:4]{((\x)^2)^(1/2)} }} \NastavOD{3}