Graphs and Equations of Power Functions with Real Exponent

Submitted by ladislav.foltyn on Mon, 04/15/2019 - 19:48
Project ID: 
6000000047
Accepted: 
SubArea: 
Power and radical functions
Type: 
Scrolling
Layout: 
6x6
Question: 
Parts of the graphs of all the functions listed below are shown in each of the following figures. Match each of the functions with the figure in which the function’s graph is presented in red.
Questions Title: 
Graphs:
Answers Title: 
Functions:
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)} }}