Gráficas de Funciones de Potencias $f(x)=x^n$ con $n$ Entero no Nulo

Enviado por ladislav.foltyn el Lun, 02/18/2019 - 12:46
Project ID: 
6000000019
Accepted: 
SubArea: 
Funciones potenciales y radicales
Tipo: 
Scrolling
Layout: 
6x6
Question: 
En cada una de las siguientes figuras se muestran las gráficas de las funciones enumeradas debajo. Empareja cada una de las funciones con la figura en la cual está representada en rojo su gráfica.
Question 1 Image: 
Answer 1: 
f(x)=x2; x∈[−1;1]
Question 2 Image: 
Answer 2: 
f(x)=x3; x∈[−1;1]
Question 3 Image: 
Answer 3: 
f(x)=x4; x∈[−1;1]
Question 4 Image: 
Answer 4: 
f(x)=−x2; x∈[−1;1]
Question 5 Image: 
Answer 5: 

$f(x)=-x^3;\ x\in [ -1;1] $

Question 6 Image: 
Answer 6: 
f(x)=|x3|; x∈[−1;1]
Tex: 
% tiket 32703 \NastavOD{3} \otazka{\obrA}{$f(x)=x^2;\ x\in\langle-1;1\rangle$} \otazka{\obrB}{$f(x)=x^3;\ x\in\langle-1;1\rangle$} \otazka{\obrC}{$f(x)=x^4;\ x\in\langle-1;1\rangle$} \otazka{\obrD}{$f(x)=-x^2;\ x\in\langle-1;1\rangle$} \otazka{\obrE}{$f(x)=-x^3;\ x\in\langle-1;1\rangle$} \otazka{\obrF}{$f(x)=\left|x^3\right|;\ x\in\langle-1;1\rangle$} \def\delka{2cm} \def\obrA{ \obrMsr[x=\delka,y=\delka]{-1.5}{1.5}{-1.5}{1.5} { \footnotesize \obrClip \draw[help lines, step = 0.5] (-3,-3) grid (3,3); \obrOsaX[above left] \obrOsaY[below right] \obrPopisX[below]{-1,-0.5,0.5,1} \obrPopisY[left]{-1,-0.5,0.5,1} \obrFce[black,domain=-1:1]{(\x)^3} \obrFce[black,domain=-1:1]{(\x)^4} \obrFce[black,domain=-1:1]{-(\x)^2} \obrFce[black,domain=-1:1]{-(\x)^3} \obrFce[black,domain=-1:1]{abs((\x)^3)} \obrFce[domain=-1:1]{(\x)^2} } } \def\obrB{ \obrMsr[x=\delka,y=\delka]{-1.5}{1.5}{-1.5}{1.5} { \footnotesize \obrClip \draw[help lines, step = 0.5] (-3,-3) grid (3,3); \obrOsaX[above left] \obrOsaY[below right] \obrPopisX[below]{-1,-0.5,0.5,1} \obrPopisY[left]{-1,-0.5,0.5,1} \obrFce[black,domain=-1:1]{(\x)^2} \obrFce[black,domain=-1:1]{(\x)^4} \obrFce[black,domain=-1:1]{-(\x)^2} \obrFce[black,domain=-1:1]{-(\x)^3} \obrFce[black,domain=-1:1]{abs((\x)^3)} \obrFce[domain=-1:1]{(\x)^3} } } \def\obrC{ \obrMsr[x=\delka,y=\delka]{-1.5}{1.5}{-1.5}{1.5} { \footnotesize \obrClip \draw[help lines, step = 0.5] (-3,-3) grid (3,3); \obrOsaX[above left] \obrOsaY[below right] \obrPopisX[below]{-1,-0.5,0.5,1} \obrPopisY[left]{-1,-0.5,0.5,1} \obrFce[black,domain=-1:1]{(\x)^2} \obrFce[black,domain=-1:1]{(\x)^3} \obrFce[black,domain=-1:1]{-(\x)^2} \obrFce[black,domain=-1:1]{-(\x)^3} \obrFce[black,domain=-1:1]{abs((\x)^3)} \obrFce[domain=-1:1]{(\x)^4} } } \def\obrD{ \obrMsr[x=\delka,y=\delka]{-1.5}{1.5}{-1.5}{1.5} { \footnotesize \obrClip \draw[help lines, step = 0.5] (-3,-3) grid (3,3); \obrOsaX[above left] \obrOsaY[below right] \obrPopisX[below]{-1,-0.5,0.5,1} \obrPopisY[left]{-1,-0.5,0.5,1} \obrFce[black,domain=-1:1]{(\x)^2} \obrFce[black,domain=-1:1]{(\x)^3} \obrFce[black,domain=-1:1]{(\x)^4} \obrFce[black,domain=-1:1]{-(\x)^3} \obrFce[black,domain=-1:1]{abs((\x)^3)} \obrFce[domain=-1:1]{-(\x)^2} } } \def\obrE{ \obrMsr[x=\delka,y=\delka]{-1.5}{1.5}{-1.5}{1.5} { \footnotesize \obrClip \draw[help lines, step = 0.5] (-3,-3) grid (3,3); \obrOsaX[above left] \obrOsaY[below right] \obrPopisX[below]{-1,-0.5,0.5,1} \obrPopisY[left]{-1,-0.5,0.5,1} \obrFce[black,domain=-1:1]{(\x)^2} \obrFce[black,domain=-1:1]{(\x)^3} \obrFce[black,domain=-1:1]{(\x)^4} \obrFce[black,domain=-1:1]{-(\x)^2} \obrFce[black,domain=-1:1]{abs((\x)^3)} \obrFce[domain=-1:1]{-(\x)^3} } } \def\obrF{ \obrMsr[x=\delka,y=\delka]{-1.5}{1.5}{-1.5}{1.5} { \footnotesize \obrClip \draw[help lines, step = 0.5] (-3,-3) grid (3,3); \obrOsaX[above left] \obrOsaY[below right] \obrPopisX[below]{-1,-0.5,0.5,1} \obrPopisY[left]{-1,-0.5,0.5,1} \obrFce[black,domain=-1:1]{(\x)^2} \obrFce[black,domain=-1:1]{(\x)^3} \obrFce[black,domain=-1:1]{(\x)^4} \obrFce[black,domain=-1:1]{-(\x)^2} \obrFce[black,domain=-1:1]{-(\x)^3} \obrFce[domain=-1:1]{abs((\x)^3)} } }