我尝试绘制的幂函数没有完全显示出来,我尝试更改域和其他内容但无济于事,我可以在这里获得一些帮助吗?
\documentclass{article}
\usepackage{amsmath}
\usepackage{pgfplots}
\pgfplotsset{compat=1.13}
\begin{document}
\begin{tikzpicture}
\begin{axis}[
axis lines = center,
xlabel = $x$,
ylabel = {$y$},
xmax = {4},
xmin = {-1},
ymax = {2},
ymin = {-2},
legend pos = outer north east
]
\addplot [
domain=-10:10,
samples=100,
color=black,
]
{x^(1/2)};
\addlegendentry{$y=\sqrt{x}$}
\addplot [
domain=-5:5,
samples=100,
color=blue,
]
{x^(1/4)};
\addlegendentry{$y=x^{\frac{1}{4}}$}
\end{axis}
\end{tikzpicture}
\begin{tikzpicture}
\begin{axis}[
axis lines = center,
xlabel = $x$,
ylabel = {$y$},
xmax = {4},
xmin = {-4},
ymax = {2},
ymin = {-2},
legend pos = north west
]
\addplot [
domain=-10:10,
samples=100,
color=black,
]
{x^(1/3)};
\addlegendentry{$y=x^{\frac{1}{3}}$}
\addplot [
domain=-10:10,
samples=100,
color=blue,
]
{x^(1/5)};
\addlegendentry{$y=x^{\frac{1}{5}}$}
\end{axis}
\end{tikzpicture}
\end{document}
答案1
您可以采用以下解决方案PGF 数学函数计算立方根生成计算三次方和五次方根的函数:
参考:
代码:
\documentclass{article}
\usepackage{amsmath}
\usepackage{pgfplots}
\pgfplotsset{compat=1.13}
\pgfmathdeclarefunction{CubeRoot}{1}{%
\pgfmathparse{ifthenelse(#1<0,-1,1)*exp((ln(abs(#1)))/3)}%
}
\pgfmathdeclarefunction{FifthRoot}{1}{%
\pgfmathparse{ifthenelse(#1<0,-1,1)*exp((ln(abs(#1)))/5)}%
}
\begin{document}\noindent
\begin{tikzpicture}
\begin{axis}[
axis lines = center,
xlabel = $x$,
ylabel = {$y$},
xmax = {4},
xmin = {-1},
ymax = {2},
ymin = {-2},
legend pos = south east
]
\addplot [
domain=0:4,
samples=100,
color=orange,
line width=1.0pt,
]
{(x)^(1/2)};
\addlegendentry{$y=\sqrt{x}$}
\addplot [
domain=0:5,
samples=100,
color=blue,
line width=1.0pt,
]
{(x)^(1/4)};
\addlegendentry{$y=x^{\frac{1}{4}}$}
\end{axis}
\end{tikzpicture}
\par
\noindent
\begin{tikzpicture}
\begin{axis}[
axis lines = center,
xlabel = $x$,
ylabel = {$y$},
xmax = 4,
xmin = -4,
ymax = 2,
ymin = -2,
legend pos = south east,
clip=true,
]
\addplot [
domain=-4:4,
samples=100,
color=blue,
line width=1.0pt,
]
{CubeRoot(x)};
\addlegendentry{$y=x^{\frac{1}{3}}$}
\addplot [
domain=-4:4,
samples=100,
color=red,
line width=1.0pt,
]
{FifthRoot(x)};
\addlegendentry{$y=x^{\frac{1}{5}}$}
\end{axis}
\end{tikzpicture}
\end{document}