Project ID:
6000000055
Accepted:
Typ:
Layout:
Question:
Dopasuj podane wykresy do odpowiadających im funkcji.
Questions Title:
Wykresy:
Answers Title:
Funkcje:
Question 1:
{\obrA}
Question 1 Image:
Answer 1:
$f(x)=\frac{-2+(x+3)^3}{-2}$
Question 2:
{\obrB}
Question 2 Image:
Answer 2:
$f(x)=\frac{-1}{(x-3)^3}+1$
Question 3:
{\obrC}
Question 3 Image:
Answer 3:
$f(x)=\frac{-1}{x^2+2x+1}+3$
Question 4:
{\obrD}
Question 4 Image:
Answer 4:
$f(x)=(x-1)^3-1$
Question 5:
{\obrE}
Question 5 Image:
Answer 5:
$f(x)=\frac2{(x-1)^2}+3$
Question 6:
{\obrF}
Question 6 Image:
Answer 6:
$f(x)=\frac1{(x-3)^3}-1$
Tex:
% tiket 32792
\NastavOD{3}
\def\obrA{\obrMsr[x=0.4cm,y=0.4cm]{-6}{4}{-6}6
{
\footnotesize
\obrClip
\draw[gray!30, thin, step=1] (-6,-6) grid (4,6);
\obrOsaX[above left]
\obrOsaY[below right]
\obrPopisX[below]{-4,-2,2}
\obrPopisY[left]{-4,-2,2,4}
\obrZnackyX{-5,-3,-1,1,3}
\obrZnackyY{-5,-3,-1,1,3,5}
\obrFce{(-2+((\x)+3)^3)/(-2)}
}}
\def\obrB{\obrMsr[x=0.4cm,y=0.4cm]{-2}{8}{-6}6
{
\footnotesize
\obrClip
\draw[gray!30, thin, step=1] (-2,-6) grid (8,6);
\obrOsaX[above left]
\obrOsaY[below right]
\obrPopisX[below]{2,4,6}
\obrPopisY[left]{-4,-2,2,4}
\obrZnackyX{-1,1,3,5,7}
\obrZnackyY{-5,-3,-1,1,3,5}
\obrFce[domain=-2:2.5]{(-1)/((\x)-3)^3+1}
\obrFce[domain=3.25:8]{(-1)/((\x)-3)^3+1}
}}
\def\obrC{\obrMsr[x=0.4cm,y=0.4cm]{-6}{4}{-6}6
{
\footnotesize
\obrClip
\draw[gray!30, thin, step=1] (-6,-6) grid (4,6);
\obrOsaX[above left]
\obrOsaY[below right]
\obrPopisX[below]{-4,-2,2}
\obrPopisY[left]{-4,-2,2,4}
\obrZnackyX{-5,-3,-1,1,3}
\obrZnackyY{-5,-3,-1,1,3,5}
\obrFce[domain=-6:-1.25]{(-1)/((\x)^2+2*(\x)+1)+3}
\obrFce[domain=-0.75:4]{(-1)/((\x)^2+2*(\x)+1)+3}
}}
\def\obrD{\obrMsr[x=0.4cm,y=0.4cm]{-4}{6}{-6}6
{
\footnotesize
\obrClip
\draw[gray!30, thin, step=1] (-4,-6) grid (6,6);
\obrOsaX[above left]
\obrOsaY[below right]
\obrPopisX[below]{-2,2,4}
\obrPopisY[left]{-4,-2,2,4}
\obrZnackyX{-3,-1,1,2,3,5}
\obrZnackyY{-5,-3,-1,1,3,5}
\obrFce{((\x)-1)^3-1}
}}
\def\obrE{\obrMsr[x=0.4cm,y=0.4cm]{-4}{6}{-2}{10}
{
\footnotesize
\obrClip
\draw[gray!30, thin, step=1] (-4,-2) grid (6,10);
\obrOsaX[above left]
\obrOsaY[below right]
\obrPopisX[below]{-2,2,4}
\obrPopisY[left]{2,4,6,8}
\obrZnackyX{-3,-1,1,2,3,5,7,9}
\obrZnackyY{-1,1,3,5,7}
\obrFce[domain=6:1.25]{2/((\x)-1)^2+3}
\obrFce[domain=0.75:-4]{2/((\x)-1)^2+3}
}}
\def\obrF{\obrMsr[x=0.4cm,y=0.4cm]{-2}{8}{-6}{6}
{
\footnotesize
\obrClip
\draw[gray!30, thin, step=1] (-2,-6) grid (8,6);
\obrOsaX[above left]
\obrOsaY[below right]
\obrPopisX[below]{2,4,6}
\obrPopisY[left]{-4,-2,2,4}
\obrZnackyX{-1,1,3,5,7}
\obrZnackyY{-5,-3,-1,1,3,5}
\obrFce[domain=8:3.25]{1/((\x)-3)^3-1}
\obrFce[domain=2.75:-2]{1/((\x)-3)^3-1}
}}