Project ID:
6000000004
Accepted:
Type:
Layout:
Question:
Match the graphs with the corresponding functions.
Question 1 Image:
Answer 1:
$f(x)=\log _2x-2$
Question 2 Image:
Answer 2:
$f(x)=\log _2x+2$
Question 3 Image:
Answer 3:
$f(x)=\log _2(x-2)$
Question 4 Image:
Answer 4:
$f(x)=\log _2(x+2)$
Question 5 Image:
Answer 5:
$f(x)=2\log _2x$
Question 6 Image:
Answer 6:
$f(x)=\frac 12\log _2x$
Tex:
% http://math4u.vsb.cz/sk/node/31901
% makro pro snadne kresleni grafu funkce
\newcommand\graf[2][0.001:0.1,0.1:10]
{ % nepoviny parametr jsou meze pro kresleni, povinny parametr je funkcni predps
\obrMsr{-2.8,5.5,-3.8,4.5}[6cm,5cm]{
{\obrClip
\draw[help lines, step = 1] (-3,-5) grid (8.5,8.5);
}
\obrOsy
\obrClip
\foreach \i in {#1} {\obrFce[very thick,domain=\i]{#2}}
\obrZnackyX{-5,...,5}
\obrZnackyY{-5,...,5}
\obrPopisX{-2,-1,1,2,3,4,5}
\obrPopisY[left,yshift=-3pt]{-3,-2,-1,1,2,3,4}
}
}
\otazka{\graf{ln(\x)/ln(2)-2}}{$f(x)=\log_2x-2$}
\otazka{\graf{ln(\x)/ln(2)+2}}{$f(x)=\log_2x+2$}
\otazka{\graf[2.0001:2.1,2.1:10]{ln(\x-2)/ln(2)}}{$f(x)=\log_2(x-2)$}
\otazka{\graf[-1.999:-1.8,-1.8:10]{ln(\x+2)/ln(2)}}{$f(x)=\log_2(x+2)$}
\otazka{\graf{2*ln(\x)/ln(2)}}{$f(x)=2\log_2x$}
\otazka{\graf{1/2*ln(\x)/ln(2)}}{$f(x)=\frac 12\log_2x$}