Project ID:
6000000018
Accepted:
Tipo:
Layout:
Question:
Relaciona cada gráfica de una función con su descripción.
Question 1:
\obrA
Question 1 Image:
Answer 1:
\footnotesize La función está impar y no tiene extremo.
Question 2:
\obrB
Question 2 Image:
Answer 2:
\footnotesize La función está impar y creciente.
Question 3:
\obrC
Question 3 Image:
Answer 3:
\footnotesize La función está par e impar a la vez.
Question 4:
\obrD
Question 4 Image:
Answer 4:
\footnotesize La función está par y el rango de la función es $(-2;2)$.
Question 5:
\obrE
Question 5 Image:
Answer 5:
\footnotesize La función está acotada superiormente y tiene un mínimo local en el punto $x=2$.
Question 6:
\obrF
Question 6 Image:
Answer 6:
\footnotesize La función está par y el dominio de la función es $(-2;2)$.
Tex:
% tiket 32367
\NastavOD{3}
%\otazka{\obrA}{\footnotesize Funkce je lichá a nemá žádný extrém.}
%\otazka{\obrB}{\footnotesize Funkce je lichá a rostoucí.}
%\otazka{\obrC}{\footnotesize Funkce je sudá a zároveň lichá.}
%\otazka{\obrD}{\footnotesize Funkce je sudá a má obor hodnot $(-2;2)$.}
%\otazka{\obrE}{\footnotesize Funkce je omezená shora a má minimum v bodě $x=2$.}
%\otazka{\obrF}{\footnotesize Funkce je sudá a má definiční obor $(-2;2)$.}
\def\delka{1cm}
\def\obrA{
\obrMsr[x=\delka,y=\delka]{-3}{3}{-3}{3}
{
\footnotesize
\obrClip
\draw[help lines, step = 0.5] (-7,-7) grid (7,7);
\obrOsaX[above left]
\obrOsaY[below right]
\obrPopisX[below]{-2,-1,1,2}
\obrPopisY[left]{-2,-1,1,2}
\draw[very thick, red] (-2,0.5) -- (-0.5,2) circle (2pt);
\fill[thick,red] (-2,0.5) circle (2pt);
\draw[thick,draw=red,fill=white] (-0.5,2) circle (2pt);
\draw[very thick, red] (0.5,-2) -- (2,-0.5) circle (2pt);
\fill[thick,red] (2,-0.5) circle (2pt);
\draw[thick,draw=red,fill=white] (0.5,-2) circle (2pt);
}
}
\def\obrB{
\obrMsr[x=\delka,y=\delka]{-3}{3}{-3}{3}
{
\footnotesize
\obrClip
\draw[help lines, step = 0.5] (-7,-7) grid (7,7);
\obrOsaX[above left]
\obrOsaY[below right]
\obrPopisX[below]{-2,-1,1,2}
\obrPopisY[left]{-2,-1,1,2}
\fill[thick,red] (-2,-2) circle (2pt);
\fill[thick,red] (2,2) circle (2pt);
}
}
\def\obrC{
\obrMsr[x=\delka,y=\delka]{-3}{3}{-3}{3}
{
\footnotesize
\obrClip
\draw[help lines, step = 0.5] (-7,-7) grid (7,7);
\obrOsaX[above left]
\obrOsaY[below right]
\obrPopisX[below]{-2,-1,1,2}
\obrPopisY[left]{-2,-1,1,2}
\draw[very thick, red] (-1.5,0) -- (1.5,0);
\draw[thick, draw=red, fill=white] (-1.5,0) circle (2pt);
\draw[thick, draw=red, fill=white] (1.5,0) circle (2pt);
}
}
\def\obrD{
\obrMsr[x=\delka,y=\delka]{-3}{3}{-3}{3}
{
\footnotesize
\obrClip
\draw[help lines, step = 0.5] (-7,-7) grid (7,7);
\obrOsaX[above left]
\obrOsaY[below right]
\obrPopisX[below]{-2,-1,1,2}
\obrPopisY[left]{-2,-1,1,2}
\draw[very thick, red] (-2,-2) -- (0,2) -- (2,-2);
\draw[thick, draw=red, fill=white] (-2,-2) circle (2pt);
\draw[thick, draw=red, fill=white] (0,2) circle (2pt);
\draw[thick, draw=red, fill=white] (2,-2) circle (2pt);
}
}
\def\obrE{
\obrMsr[x=\delka,y=\delka]{-3}{3}{-3}{3}
{
\footnotesize
\obrClip
\draw[help lines, step = 0.5] (-7,-7) grid (7,7);
\obrOsaX[above left]
\obrOsaY[below right]
\obrPopisX[below]{-2,-1,1,2}
\obrPopisY[left]{-2,-1,1,2}
\draw[very thick, red] (-2,-2) -- (0,2) -- (2,-2);
\draw[thick, draw=red, fill=red] (-2,-2) circle (2pt);
\draw[thick, draw=red, fill=white] (0,2) circle (2pt);
\draw[thick, draw=red, fill=red] (2,-2) circle (2pt);
}
}
\def\obrF{
\obrMsr[x=\delka,y=\delka]{-3}{3}{-3}{3}
{
\footnotesize
\obrClip
\draw[help lines, step = 0.5] (-7,-7) grid (7,7);
\obrOsaX[above left]
\obrOsaY[below right]
\obrPopisX[below]{-2,-1,1,2}
\obrPopisY[left]{-2,-1,1,2}
\draw[very thick, red] (-2,-2) -- (2,-2);
\draw[thick, draw=red, fill=white] (-2,-2) circle (2pt);
\draw[thick, draw=red, fill=white] (2,-2) circle (2pt);
}
}