Grafy mocninových funkcií s celočíselným exponentom

Project ID: 
6000000019
Accepted: 
Typ: 
Layout: 
Question: 
Na každom z obrázkov sú grafy všetkých nižšie uvedených funkcií. Priraďte predpisy funkcií k obrázkom, na ktorých sú grafy daných funkcií zvýraznené červenou farbou.
Question 1 Image: 
Answer 1: 
$f(x)=x^2;\ x\in \langle -1;1\rangle $
Question 2 Image: 
Answer 2: 
$f(x)=x^3;\ x\in \langle -1;1\rangle $
Question 3 Image: 
Answer 3: 
$f(x)=x^4;\ x\in \langle -1;1\rangle $
Question 4 Image: 
Answer 4: 
$f(x)=-x^2;\ x\in \langle -1;1\rangle $
Question 5 Image: 
Answer 5: 

$f(x)=-x^3;\ x\in \langle -1;1\rangle $

Question 6 Image: 
Answer 6: 
$f(x)=\left |x^3\right |;\ x\in \langle -1;1\rangle $
Tex: 
% tiket 32703 \NastavOD{3} \otazka{\obrA}{$f(x)=x^2;\ x\in\langle-1;1\rangle$} \otazka{\obrB}{$f(x)=x^3;\ x\in\langle-1;1\rangle$} \otazka{\obrC}{$f(x)=x^4;\ x\in\langle-1;1\rangle$} \otazka{\obrD}{$f(x)=-x^2;\ x\in\langle-1;1\rangle$} \otazka{\obrE}{$f(x)=-x^3;\ x\in\langle-1;1\rangle$} \otazka{\obrF}{$f(x)=\left|x^3\right|;\ x\in\langle-1;1\rangle$} \def\delka{2cm} \def\obrA{ \obrMsr[x=\delka,y=\delka]{-1.5}{1.5}{-1.5}{1.5} { \footnotesize \obrClip \draw[help lines, step = 0.5] (-3,-3) grid (3,3); \obrOsaX[above left] \obrOsaY[below right] \obrPopisX[below]{-1,-0.5,0.5,1} \obrPopisY[left]{-1,-0.5,0.5,1} \obrFce[black,domain=-1:1]{(\x)^3} \obrFce[black,domain=-1:1]{(\x)^4} \obrFce[black,domain=-1:1]{-(\x)^2} \obrFce[black,domain=-1:1]{-(\x)^3} \obrFce[black,domain=-1:1]{abs((\x)^3)} \obrFce[domain=-1:1]{(\x)^2} } } \def\obrB{ \obrMsr[x=\delka,y=\delka]{-1.5}{1.5}{-1.5}{1.5} { \footnotesize \obrClip \draw[help lines, step = 0.5] (-3,-3) grid (3,3); \obrOsaX[above left] \obrOsaY[below right] \obrPopisX[below]{-1,-0.5,0.5,1} \obrPopisY[left]{-1,-0.5,0.5,1} \obrFce[black,domain=-1:1]{(\x)^2} \obrFce[black,domain=-1:1]{(\x)^4} \obrFce[black,domain=-1:1]{-(\x)^2} \obrFce[black,domain=-1:1]{-(\x)^3} \obrFce[black,domain=-1:1]{abs((\x)^3)} \obrFce[domain=-1:1]{(\x)^3} } } \def\obrC{ \obrMsr[x=\delka,y=\delka]{-1.5}{1.5}{-1.5}{1.5} { \footnotesize \obrClip \draw[help lines, step = 0.5] (-3,-3) grid (3,3); \obrOsaX[above left] \obrOsaY[below right] \obrPopisX[below]{-1,-0.5,0.5,1} \obrPopisY[left]{-1,-0.5,0.5,1} \obrFce[black,domain=-1:1]{(\x)^2} \obrFce[black,domain=-1:1]{(\x)^3} \obrFce[black,domain=-1:1]{-(\x)^2} \obrFce[black,domain=-1:1]{-(\x)^3} \obrFce[black,domain=-1:1]{abs((\x)^3)} \obrFce[domain=-1:1]{(\x)^4} } } \def\obrD{ \obrMsr[x=\delka,y=\delka]{-1.5}{1.5}{-1.5}{1.5} { \footnotesize \obrClip \draw[help lines, step = 0.5] (-3,-3) grid (3,3); \obrOsaX[above left] \obrOsaY[below right] \obrPopisX[below]{-1,-0.5,0.5,1} \obrPopisY[left]{-1,-0.5,0.5,1} \obrFce[black,domain=-1:1]{(\x)^2} \obrFce[black,domain=-1:1]{(\x)^3} \obrFce[black,domain=-1:1]{(\x)^4} \obrFce[black,domain=-1:1]{-(\x)^3} \obrFce[black,domain=-1:1]{abs((\x)^3)} \obrFce[domain=-1:1]{-(\x)^2} } } \def\obrE{ \obrMsr[x=\delka,y=\delka]{-1.5}{1.5}{-1.5}{1.5} { \footnotesize \obrClip \draw[help lines, step = 0.5] (-3,-3) grid (3,3); \obrOsaX[above left] \obrOsaY[below right] \obrPopisX[below]{-1,-0.5,0.5,1} \obrPopisY[left]{-1,-0.5,0.5,1} \obrFce[black,domain=-1:1]{(\x)^2} \obrFce[black,domain=-1:1]{(\x)^3} \obrFce[black,domain=-1:1]{(\x)^4} \obrFce[black,domain=-1:1]{-(\x)^2} \obrFce[black,domain=-1:1]{abs((\x)^3)} \obrFce[domain=-1:1]{-(\x)^3} } } \def\obrF{ \obrMsr[x=\delka,y=\delka]{-1.5}{1.5}{-1.5}{1.5} { \footnotesize \obrClip \draw[help lines, step = 0.5] (-3,-3) grid (3,3); \obrOsaX[above left] \obrOsaY[below right] \obrPopisX[below]{-1,-0.5,0.5,1} \obrPopisY[left]{-1,-0.5,0.5,1} \obrFce[black,domain=-1:1]{(\x)^2} \obrFce[black,domain=-1:1]{(\x)^3} \obrFce[black,domain=-1:1]{(\x)^4} \obrFce[black,domain=-1:1]{-(\x)^2} \obrFce[black,domain=-1:1]{-(\x)^3} \obrFce[domain=-1:1]{abs((\x)^3)} } }