Project ID:
6000000006
Accepted:
Type:
Layout:
Question:
Match the graphs with the corresponding functions:
Question 1 Image:
Answer 1:
$f\colon y=|\cos x|$
Question 2 Image:
Answer 2:
$f\colon y=-|\cos x|$
Question 3 Image:
Answer 3:
$f\colon y=\cos |x|$
Question 4 Image:
Answer 4:
$f\colon y=-\sin |x|$
Answer 5:
$f\colon y=|\sin x|$
Answer 6:
$f\colon y=-|\sin x|$
Tex:
% http://math4u.vsb.cz/ticket/32053
\def\NumberPos{0}
\newcommand\graf[2][-10:10]{
\obrMsr{-10,10,-3.5,3.5}[8cm,5cm]{
\obrOsy
\obrPopisX{pi/\pi, -pi/-\pi, 2*pi/2\pi, -2*pi/-2\pi, 0.5*pi/{\frac \pi 2}} % popisek neni primo souradnice znacky
\obrPopisY[left]{-1,1}
\obrZnackyY{-1,1}
\obrClip
\foreach \i in {#1} {\obrFce[domain=\i]{#2}} % sin(x) pro x v radianech
}
}
\otazka{\graf[-pi/2:pi/2,pi/2:3/2*pi,-pi/2:-3/2*pi,5*pi/2:3/2*pi,-5*pi/2:-3/2*pi,-5*pi/2:-7/2*pi,5*pi/2:7/2*pi]{abs(cos(\x r))}}{$f\colon y=|\cos x|$}
\otazka{\graf[-pi/2:pi/2,pi/2:3/2*pi,-pi/2:-3/2*pi,5*pi/2:3/2*pi,-5*pi/2:-3/2*pi,-5*pi/2:-7/2*pi,5*pi/2:7/2*pi]{-abs(cos(\x r))}}{$f\colon y=-|\cos x|$}
\otazka{\graf[-10:10]{cos(abs(\x) r)}}{$f\colon y=\cos |x|$}
\otazka{\graf[-10:0,0:10]{-sin(abs(\x) r)}}{$f\colon y=-\sin |x|$}
\fake{$f\colon y=|\sin x|$}
\fake{$f\colon y=-|\sin x|$}