Project ID:
6000000019
Accepted:
Typ:
Layout:
Question:
Na každém z obrázků jsou grafy všech níže uvedených funkcí. Spárujte předpisy funkcí s obrázky, na nichž jsou grafy daných funkcí zvýrazněny červeně.
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)}
}
}