f닫힌 간격에 대해 정의된 조각별 선형 함수에 대한 코드가 있습니다 . [-4, 12]. 이미지 크기를 .2/5
같은 그래프에서 임의의 숫자를 g나타내는 또 다른 조각별 함수를 플롯하고 싶습니다 . 여기에는 도메인의 6개 다른 "조각"에 포물선을 그리는 것이 포함됩니다 . 코드에는 앞에 . 이러한 명령을 구현하면 오류 메시지가 나타납니다.$\int_{2}^{x} f(t) \, dt$$-4 \leq x \leq 12$f%
나는 그것을 알고 f있으며 를 g사용하여 쉽게 플롯할 수 있습니다 pgfplots. 그래도 그냥 사용하여 플롯할 수 있기를 바랍니다 TikZ.
\documentclass{amsart}
\usepackage{amsmath}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}
%A piecewise linear function is drawn over the interval [-4, 12]. (The figure is magnified by 2/5.)
\draw ({-4*(2/5)},{-4*(2/5)}) -- (0,{4*(2/5)}) -- ({2*(2/5)},0) -- ({4*(2/5)},{4*(2/5)}) -- ({8*(2/5)},{-4*(2/5)})
-- ({10*(2/5)},0) -- ({12*(2/5)},{-4*(2/5)});
%Two points on the graph are drawn.
\coordinate (left_endpoint) at ({-4*(2/5)},{-4*(2/5)});
\draw[fill] (left_endpoint) circle [radius=1.5pt];
\coordinate (right_endpoint) at ({12*(2/5)},{-4*(2/5)});
\draw[fill] (right_endpoint) circle [radius=1.5pt];
%The graph for the area function "starting at 2" is drawn. It is defined on 6 "pieces" of the
%domain of f.
%\draw[color=blue] plot [domain=-4:0] ({(2/5)*(\x)}, {(2/5)*((\x)^2 + 4*x - 4)});
%\draw[color=blue] plot [domain=0:2] ({(2/5)*(\x)}, {(2/5)*(-(\x)^2 + 4*x - 4)});
%\draw[color=blue] plot [domain=2:4] ({(2/5)*(\x)}, {(2/5)*((\x)^2 - 4*x + 4)});
%\draw[color=blue] plot [domain=4:8] ({(2/5)*(\x)}, {(2/5)*(-(\x)^2 + 12*x - 28)});
%\draw[color=blue] plot [domain=8:10] ({(2/5)*(\x)}, {(2/5)*((\x)^2 - 20*x + 100)});
%\draw[color=blue] plot [domain=10:12] ({(2/5)*(\x)}, {(2/5)*(-(\x)^2 + 20*x - 100)});
%Tick marks are drawn along the y-axis.
\draw ($(0,{-4*(2/5)}) +(-2pt,0)$) -- ($(0,{-4*(2/5)}) +(2pt,0)$);
\path node[anchor=east, inner sep=0, font=\footnotesize] at ($(0,{-4*(2/5)}) +(-2pt,0) +(-0.15,0)$){$-4$};
\draw ($(0,{4*(2/5)}) +(-2pt,0)$) -- ($(0,{4*(2/5)}) +(2pt,0)$);
\path node[anchor=east, inner sep=0, font=\footnotesize] at ($(0,{4*(2/5)}) +(-2pt,0) +(-0.15,0)$){4};
%The axes are drawn.
\draw[latex-latex] ($(0,{-4*(2/5)}) +(0pt,-12.5pt)$) -- ($(0,{4*(2/5)}) +(0pt,12.5pt)$) node[above right]{$y$};
\draw[latex-latex] ($({-4*(2/5)},0) +(-12.5pt,0pt)$) -- ($({12*(2/5)},0) +(12.5pt,0pt)$) node[below right]{$x$};
\end{tikzpicture}
\end{document}
답변1
이것이 당신이 기대한 것인지 확실하지 않지만 다음을 수정합니다 x.\x
\documentclass{amsart}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}
%A piecewise linear function is drawn over the interval [-4, 12]. (The figure is magnified by 2/5.)
\draw ({-4*(2/5)},{-4*(2/5)}) -- (0,{4*(2/5)}) -- ({2*(2/5)},0) -- ({4*(2/5)},{4*(2/5)}) -- ({8*(2/5)},{-4*(2/5)})
-- ({10*(2/5)},0) -- ({12*(2/5)},{-4*(2/5)});
%Two points on the graph are drawn.
\coordinate (left_endpoint) at ({-4*(2/5)},{-4*(2/5)});
\draw[fill] (left_endpoint) circle [radius=1.5pt];
\coordinate (right_endpoint) at ({12*(2/5)},{-4*(2/5)});
\draw[fill] (right_endpoint) circle [radius=1.5pt];
%The graph for the area function "starting at 2" is drawn. It is defined on 6 "pieces" of the
%domain of f.
\draw[color=blue] plot [domain=-4:0] ({(2/5)*(\x)}, {(2/5)*((\x)^2 + 4*\x - 4)});
\draw[color=blue] plot [domain=0:2] ({(2/5)*(\x)}, {(2/5)*(-(\x)^2 + 4*\x - 4)});
\draw[color=blue] plot [domain=2:4] ({(2/5)*(\x)}, {(2/5)*((\x)^2 - 4*\x + 4)});
\draw[color=blue] plot [domain=4:8] ({(2/5)*(\x)}, {(2/5)*(-(\x)^2 + 12*\x - 28)});
\draw[color=blue] plot [domain=8:10] ({(2/5)*(\x)}, {(2/5)*((\x)^2 - 20*\x + 100)});
\draw[color=blue] plot [domain=10:12] ({(2/5)*(\x)}, {(2/5)*(-(\x)^2 + 20*\x - 100)});
%Tick marks are drawn along the y-axis.
\draw ($(0,{-4*(2/5)}) +(-2pt,0)$) -- ($(0,{-4*(2/5)}) +(2pt,0)$);
\path node[anchor=east, inner sep=0, font=\footnotesize] at ($(0,{-4*(2/5)}) +(-2pt,0) +(-0.15,0)$){$-4$};
\draw ($(0,{4*(2/5)}) +(-2pt,0)$) -- ($(0,{4*(2/5)}) +(2pt,0)$);
\path node[anchor=east, inner sep=0, font=\footnotesize] at ($(0,{4*(2/5)}) +(-2pt,0) +(-0.15,0)$){4};
%The axes are drawn.
\draw[latex-latex] ($(0,{-4*(2/5)}) +(0pt,-12.5pt)$) -- ($(0,{4*(2/5)}) +(0pt,12.5pt)$) node[above right]{$y$};
\draw[latex-latex] ($({-4*(2/5)},0) +(-12.5pt,0pt)$) -- ($({12*(2/5)},0) +(12.5pt,0pt)$) node[below right]{$x$};
\end{tikzpicture}
\end{document}