Gráficas y Ecuaciones de Funciones de Potencias con Exponente Real

Project ID: 
6000000047
Accepted: 
Tipo: 
Layout: 
Question: 
Partes de las gráficas de todas las funciones mostradas debajo aparecen en cada una de las siguientes figuras. Empareja cada una de las funciones con la figura en la cual aparece su gráfica representada en rojo.
Questions Title: 
Gráficas:
Answers Title: 
Funciones:
Question 1: 
{\obrA}
Question 1 Image: 
Answer 1: 

$x^{\sqrt2}$

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

$x^{\pi}$

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

$x^{\sqrt3}$

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

$x^{-\sqrt2}$

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

$x^{\frac{\sqrt2}2}$

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

$x^{\frac{\sqrt2}3}$

Tex: 
% tiket 32954 \NastavOD{3} \def\obrA{\obrMsr[x=1cm,y=1cm]{-1}{4}{-1}4 { \footnotesize \obrClip \draw[gray!20,thin, step=0.5] (-1,-1) grid (4,4); \obrOsaX[above left] \obrOsaY[below right] \obrPopisX[below]{1,2,3} \obrPopisY[left]{1,2,3} \obrFce[domain=0:4]{(\x)^(2^(1/2))} \obrFce[black,domain=0:4]{(\x)^(3.14)} \obrFce[black,domain=0:4]{(\x)^(3^(1/2))} \obrFce[black,domain=0.25:4]{(\x)^(-(2^(1/2)))} \obrFce[black,domain=0:4]{(\x)^((2^(1/2))/2)} \obrFce[black,domain=0:4]{(\x)^((2^(1/2))/3)} }} \def\obrB{\obrMsr[x=1cm,y=1cm]{-1}{4}{-1}4 { \footnotesize \obrClip \draw[gray!20,thin, step=0.5] (-1,-1) grid (4,4); \obrOsaX[above left] \obrOsaY[below right] \obrPopisX[below]{1,2,3} \obrPopisY[left]{1,2,3} \obrFce[black,domain=0:4]{(\x)^(2^(1/2))} \obrFce[domain=0:4]{(\x)^(3.14)} \obrFce[black,domain=0:4]{(\x)^(3^(1/2))} \obrFce[black,domain=0.25:4]{(\x)^(-(2^(1/2)))} \obrFce[black,domain=0:4]{(\x)^((2^(1/2))/2)} \obrFce[black,domain=0:4]{(\x)^((2^(1/2))/3)} }} \def\obrC{\obrMsr[x=1cm,y=1cm]{-1}{4}{-1}4 { \footnotesize \obrClip \draw[gray!20,thin, step=0.5] (-1,-1) grid (4,4); \obrOsaX[above left] \obrOsaY[below right] \obrPopisX[below]{1,2,3} \obrPopisY[left]{1,2,3} \obrFce[black,domain=0:4]{(\x)^(2^(1/2))} \obrFce[black,domain=0:4]{(\x)^(3.14)} \obrFce[domain=0:4]{(\x)^(3^(1/2))} \obrFce[black,domain=0.25:4]{(\x)^(-(2^(1/2)))} \obrFce[black,domain=0:4]{(\x)^((2^(1/2))/2)} \obrFce[black,domain=0:4]{(\x)^((2^(1/2))/3)} }} \def\obrD{\obrMsr[x=1cm,y=1cm]{-1}{4}{-1}4 { \footnotesize \obrClip \draw[gray!20,thin, step=0.5] (-1,-1) grid (4,4); \obrOsaX[above left] \obrOsaY[below right] \obrPopisX[below]{1,2,3} \obrPopisY[left]{1,2,3} \obrFce[black,domain=0:4]{(\x)^(2^(1/2))} \obrFce[black,domain=0:4]{(\x)^(3.14)} \obrFce[black,domain=0:4]{(\x)^(3^(1/2))} \obrFce[domain=0.25:4]{(\x)^(-(2^(1/2)))} \obrFce[black,domain=0:4]{(\x)^((2^(1/2))/2)} \obrFce[black,domain=0:4]{(\x)^((2^(1/2))/3)} }} \def\obrE{\obrMsr[x=1cm,y=1cm]{-1}{4}{-1}4 { \footnotesize \obrClip \draw[gray!20,thin, step=0.5] (-1,-1) grid (4,4); \obrOsaX[above left] \obrOsaY[below right] \obrPopisX[below]{1,2,3} \obrPopisY[left]{1,2,3} \obrFce[black,domain=0:4]{(\x)^(2^(1/2))} \obrFce[black,domain=0:4]{(\x)^(3.14)} \obrFce[black,domain=0:4]{(\x)^(3^(1/2))} \obrFce[black,domain=0.25:4]{(\x)^(-(2^(1/2)))} \obrFce[domain=0:4]{(\x)^((2^(1/2))/2)} \obrFce[black,domain=0:4]{(\x)^((2^(1/2))/3)} }} \def\obrF{\obrMsr[x=1cm,y=1cm]{-1}{4}{-1}4 { \footnotesize \obrClip \draw[gray!20,thin, step=0.5] (-1,-1) grid (4,4); \obrOsaX[above left] \obrOsaY[below right] \obrPopisX[below]{1,2,3} \obrPopisY[left]{1,2,3} \obrFce[black,domain=0:4]{(\x)^(2^(1/2))} \obrFce[black,domain=0:4]{(\x)^(3.14)} \obrFce[black,domain=0:4]{(\x)^(3^(1/2))} \obrFce[black,domain=0.25:4]{(\x)^(-(2^(1/2)))} \obrFce[black,domain=0:4]{(\x)^((2^(1/2))/2)} \obrFce[domain=0:4]{(\x)^((2^(1/2))/3)} }}