Finding Function Domain from Graph

Submitted by ladislav.foltyn on Thu, 04/04/2019 - 12:03
Project ID: 
6000000046
Accepted: 
SubArea: 
Properties of functions
Type: 
Scrolling
Layout: 
6x6
Question: 
Use the given graphs to find domains of corresponding functions and match each function with its domain.
Questions Title: 
Graphs:
Answers Title: 
Domains:
Question 1: 
Unknown environment 'minipage' Unknown environment 'minipage'
Answer 1: 
R
Question 2: 
Unknown environment 'minipage' Unknown environment 'minipage'
Answer 2: 
(−∞;−2]∪[2;∞)
Question 3: 
Unknown environment 'minipage' Unknown environment 'minipage'
Answer 3: 
(−∞;−2)∪(2;∞)
Question 4: 
Unknown environment 'minipage' Unknown environment 'minipage'
Answer 4: 
R∖{0}
Question 5: 
Unknown environment 'minipage' Unknown environment 'minipage'
Answer 5: 

(−2;2)

Question 6: 
Unknown environment 'minipage' Unknown environment 'minipage'
Answer 6: 
(0;∞)
Tex: 
% ticket 32699 \NastavOD{3} \def\obrA{\obrMsr[x=0.6cm,y=0.6cm]{-4}{4}{-4}4 { \footnotesize \obrClip \draw[gray!20,thin, step=1] (-4,-4) grid (4,4); \obrOsaX[above left] \obrOsaY[below right] \obrPopisX[below]{-2,2} \obrPopisY[left]{-2,2} \obrFce{3*exp(-(\x)^2)-1} \draw[dashed] (-4,-1) -- (4,-1); }} \def\obrB{\obrMsr[x=0.2cm,y=0.2cm]{-12}{12}{-12}{12} { \footnotesize \obrClip \draw[gray!20,thin, step=1] (-12,-12) grid (12,12); \obrOsaX[above left] \obrOsaY[below right] \obrPopisX[below]{-8,-4,4,10} \obrPopisY[left]{-8,-4,4,8} \obrFce[domain=-10:-2]{-0.5*(\x+4)^2+4} \obrFce[domain=10:2]{0.5*(\x-4)^2-4} \fill[red] (-2,2) circle (2pt); \fill[red] (2,-2) circle (2pt); }} \def\obrC{\obrMsr[x=0.2cm,y=0.2cm]{-12}{12}{-4}{20} { \footnotesize \obrClip \draw[gray!20,thin, step=1] (-12,-4) grid (12,20); \obrOsaX[above left] \obrOsaY[below right] \obrPopisX[below]{-8,-4,4,10} \obrPopisY[left]{4,8,12,16} \obrFce[domain=-12:-2.25]{-8/(\x+2)+2} \obrFce[domain=12:2.25]{8/(\x-2)+2} \draw[dashed] (-12,1) -- (12,1); \draw[dashed] (-2,-4) -- (-2,20); \draw[dashed] (2,-4) -- (2,20); }} \def\obrD{\obrMsr[x=0.2cm,y=0.2cm]{-12}{12}{-12}{12} { \footnotesize \obrClip \draw[gray!20,thin, step=1] (-12,-12) grid (12,12); \obrOsaX[above left] \obrOsaY[below right] \obrPopisX[below]{-8,-4,4,10} \obrPopisY[left]{-8,-4,4,8} \obrFce[domain=-12:-0.25]{-8/(\x)+2} \obrFce[domain=12:0.25]{-8/(\x)-2} \draw[dashed] (-12,2) -- (12,2); \draw[dashed] (-12,-2) -- (12,-2); }} \def\obrE{\obrMsr[x=0.6cm,y=0.6cm]{-4}{4}{-6}{4} { \footnotesize \obrClip \draw[gray!20,thin, step=1] (-4,-6) grid (4,4); \obrOsaX[above left] \obrOsaY[below right] \obrPopisX[below]{-2,2} \obrPopisY[left]{-4,-2,2} \obrFce[domain=-1.995:0]{ln(\x+2)/ln(2)+1} \obrFce[domain=1.995:0]{ln(-\x+2)/ln(2)+1} \draw[dashed] (-2,-6) -- (-2,4); \draw[dashed] (2,-6) -- (2,4); }} \def\obrF{\obrMsr[x=0.6cm,y=0.6cm]{-2}{6}{-4}{4} { \footnotesize \obrClip \draw[gray!20,thin, step=1] (-4,-4) grid (6,4); \obrOsaX[above left] \obrOsaY[below right] \obrPopisX[below]{2,4} \obrPopisY[left]{-2,2} \obrFce[domain=0:6]{2} \draw[thick,red,fill=white] (0,2) circle (2pt); }}