Project ID:
6000000045
Accepted:
Type:
Layout:
Question:
In the following pictures there are graphs of power functions of the form $f(x)=-(x-2)^n-3$, where $n$ is an integer. Match each of the graphs with corresponding properties of the number $n$.
Questions Title:
Graphs:
Answers Title:
Properties of the number $n$:
Question 1:
{\obrA}
Question 1 Image:
Answer 1:
$n$ is a positive even integer
Question 2:
{\obrB}
Question 2 Image:
Answer 2:
$n$ is a negative even integer
Question 3:
{\obrC}
Question 3 Image:
Answer 3:
$n$ is a positive odd integer
Question 4:
{\obrD}
Question 4 Image:
Answer 4:
$n$ is a negative odd integer
Tex:
% ticket 32705
\def\delka{0.3cm}
\def\obrA{\obrMsr[x=\delka,y=\delka]{-4}{6}{-7}3
{
\footnotesize
\obrClip
\draw[gray!20,thin, step=1] (-4,-7) grid (6,3);
\obrOsaX[above left]
\obrOsaY[below right]
\obrPopisX[below]{-2,2,4}
\obrPopisY[left]{-6,-4,-2,2}
\obrFce[domain=0.5:3.5]{-(\x-2)^(4)-3}
}}
\def\obrB{\obrMsr[x=\delka,y=\delka]{-4}{6}{-7}3
{
\footnotesize
\obrClip
\draw[gray!20,thin, step=1] (-4,-7) grid (6,3);
\obrOsaX[above left]
\obrOsaY[below right]
\obrPopisX[below]{-2,2,4}
\obrPopisY[left]{-6,-4,-2,2}
\obrFce[domain=-4:1.5]{-(\x-2)^(-4)-3}
\obrFce[domain=2.5:6]{-(\x-2)^(-4)-3}
}}
\def\obrC{\obrMsr[x=\delka,y=\delka]{-4}{6}{-7}3
{
\footnotesize
\obrClip
\draw[gray!20,thin, step=1] (-4,-7) grid (6,3);
\obrOsaX[above left]
\obrOsaY[below right]
\obrPopisX[below]{-2,2,4}
\obrPopisY[left]{-6,-4,-2,2}
\obrFce[domain=0:4]{-(\x-2)^(3)-3}
}}
\def\obrD{\obrMsr[x=\delka,y=\delka]{-4}{6}{-7}3
{
\footnotesize
\obrClip
\draw[gray!20,thin, step=1] (-4,-7) grid (6,3);
\obrOsaX[above left]
\obrOsaY[below right]
\obrPopisX[below]{-2,2,4}
\obrPopisY[left]{-6,-4,-2,2}
\obrFce[domain=-4:1.5]{-(\x-2)^(-3)-3}
\obrFce[domain=2.5:6]{-(\x-2)^(-3)-3}
}}
\NastavOT[-2pt]{2}
\NastavOD{2}
\def\preAnswers{\vspace*{-6pt}}
\def\preQuestions{\vspace*{-6pt}}