Project ID:
6000000063
Accepted:
Typ:
Layout:
Question:
Dopasuj wykresy funkcji do równań. (Wskazówka: rozważ wykres asymptot.)
Question 1:
{\obrA}
Question 1 Image:
Answer 1:
$f(x)=\frac1{2x^2}-x$
Question 2:
{\obrB}
Question 2 Image:
Answer 2:
$f(x)=\frac{x^2}{x-1}$
Question 3:
{\obrC}
Question 3 Image:
Answer 3:
$f(x)=\frac{x^2}{1-x^2}$
Question 4:
{\obrD}
Question 4 Image:
Answer 4:
$f(x)=\frac2x-\frac x2$
Question 5:
{\obrE}
Question 5 Image:
Answer 5:
$f(x)=\frac{2x}{x^2+1}+1$
Question 6:
{\obrF}
Question 6 Image:
Answer 6:
$f(x)=\frac{x^3}{(x-1)^2}$
Answer 7:
$f(x)=\frac{x^3}{x^2-1}$
Answer 8:
$f(x)=\frac{2x+1}{x^2}$
Tex:
% tiket 32713
\NastavOD{4}
\def\obrA{\obrMsr[x=0.7cm,y=0.5cm]{-4}{4}{-3}7
{
\footnotesize
\obrClip
\obrOsaX[above left]
\obrOsaY[below right]
\obrPopisX[below]{-2,2}
\obrPopisY[left]{-2,2,4,6}
\obrZnackyX{-3,-1,1,3}
\obrZnackyY{-1,1,3,5}
\obrFce[dashed,black,thin]{-(\x)}
\obrFce[domain=-4:-0.25]{1/(2*(\x)^2)-(\x)}
\obrFce[domain=0.25:4]{1/(2*(\x)^2)-(\x)}
}}
\def\obrB{\obrMsr[x=0.5cm,y=0.3cm]{-5}{5}{-8}{10}
{
\footnotesize
\obrClip
\obrOsaX[above left]
\obrOsaY[below right]
\obrPopisX[below]{-4,-2,2,4}
\obrPopisY[left]{-6,-4,-2,2,4,6,8}
\obrZnackyX{-3,-1,1,3}
\obrZnackyY{-7,-5,-3,-1,1,3,5,7,9}
\obrFce[dashed,black,thin]{(\x)+1}
\draw[dashed,black,thin] (1,-8) -- (1,10);
\obrFce[domain=-5:0.99]{(\x)^2/((\x)-1)}
\obrFce[domain=1.01:5]{(\x)^2/((\x)-1)}
}}
\def\obrC{\obrMsr[x=0.6cm,y=0.6cm]{-4}{4}{-4}{4}
{
\footnotesize
\obrClip
\obrOsaX[above left]
\obrOsaY[below right]
\obrPopisX[below]{-2,2}
\obrPopisY[left]{-2,2}
\obrZnackyX{-3,-1,1,3}
\obrZnackyY{-3,-1,1,3}
\obrFce[dashed,black,thin]{-1}
\draw[dashed,black,thin] (-1,-4) -- (-1,4);
\draw[dashed,black,thin] (1,-4) -- (1,4);
\obrFce[domain=-4:-1.01]{(\x)^2/(1-(\x)^2)}
\obrFce[domain=-0.99:0.99]{(\x)^2/(1-(\x)^2)}
\obrFce[domain=1.01:4]{(\x)^2/(1-(\x)^2)}
}}
\def\obrD{\obrMsr[x=0.5cm,y=0.5cm]{-5}{5}{-5}{5}
{
\footnotesize
\obrClip
\obrOsaX[above left]
\obrOsaY[below right]
\obrPopisX[below]{-4,-2,2,4}
\obrPopisY[left]{-4,-2,2,4}
\obrZnackyX{-3,-1,1,3}
\obrZnackyY{-3,-1,1,3}
\obrFce[dashed,black,thin]{-0.5*(\x)}
\obrFce[domain=-5:-0.25]{2/(\x)-(\x)/2}
\obrFce[domain=0.25:5]{2/(\x)-(\x)/2}
}}
\def\obrE{\obrMsr[x=0.5cm,y=0.9cm]{-6}{6}{-2}{3}
{
\footnotesize
\obrClip
\obrOsaX[above left]
\obrOsaY[below right]
\obrPopisX[below]{-4,-2,2,4}
\obrPopisY[left]{2}
\obrZnackyX{-5,-3,-1,1,3,5}
\obrZnackyY{-1,1}
\obrFce[dashed,black,thin]{1}
\obrFce{2*(\x)/(1+(\x)^2)+1}
}}
\def\obrF{\obrMsr[x=0.5cm,y=0.3cm]{-5}{6}{-5}{12}
{
\footnotesize
\obrClip
\obrOsaX[above left]
\obrOsaY[below right]
\obrPopisX[below]{-4,-2,2,4}
\obrPopisY[left]{-4,-2,2,4,6,8,10}
\obrZnackyX{-3,-1,1,3,5}
\obrZnackyY{-3,-1,1,3,5,7,9,11}
\obrFce[dashed,black,thin]{(\x)+2}
\draw[dashed,thin] (1,-5) -- (1,12);
\obrFce[domain=-5:0.9]{(\x)^3/((\x)-1)^2}
\obrFce[domain=1.25:6]{(\x)^3/((\x)-1)^2}
}}