Project ID:
6000000019
Accepted:
Type:
Layout:
Question:
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 its graph is drawn in red.
Question 1 Image:
Answer 1:
$f(x)=x^2;\ x\in [ -1;1] $
Question 2 Image:
Answer 2:
$f(x)=x^3;\ x\in [ -1;1] $
Question 3 Image:
Answer 3:
$f(x)=x^4;\ x\in [ -1;1] $
Question 4 Image:
Answer 4:
$f(x)=-x^2;\ x\in [ -1;1] $
Question 5 Image:
Answer 5:
$f(x)=-x^3;\ x\in [ -1;1] $
Question 6 Image:
Answer 6:
$f(x)=\left |x^3\right |;\ x\in [ -1;1] $
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)}
}
}