我想要实现的是：1) 并排图表按轴垂直对齐；2) 子标题垂直对齐。结果如图所示。我知道是分隔符导致垂直错位，但不确定如何处理它们。子标题在使用和\biggl不\Bigl使用时看起来是对齐的。
这里的第二个问题是：有没有办法让并排的图表沿着 x 轴垂直对齐，而无需强制ymin并且ymax相等？
\documentclass{article}
\usepackage{amsmath,amsthm,amssymb,wasysym,mathtools}
\usepackage{caption}
%\usepackage[position=b]{subcaption}
\usepackage{subcaption}
\usepackage%
[
%margin=1in,
right=0.5in,
left=1in,
top=0.5in]%
{geometry}
\usepackage{pgfplots}
\usetikzlibrary{arrows, decorations.markings}
\pgfplotsset{compat = newest}
\begin{document}
\begin{figure}[htp]
%\begin{figure}[h!]
\centering
\hspace*{\fill}%
\begin{subfigure}[t]{0.25\linewidth}
\begin{tikzpicture}
\begin{axis}[
xmin = -3.5,
xmax = 3.5,
ymin = -3.0,
ymax = 3.0,
x = 0.5cm,
y = 0.65cm,
%
every tick label/.append style={font=\tiny},
%
axis lines = center,
axis line style = {-stealth'},
%
x label style = {yshift = -1em},
xlabel = {$x$},
%
y label style = {xshift = -1.25em, yshift = 0.25em},
ylabel = {$y$},
%
xtick = { 1/2 },
xticklabels = { $\frac{1}{2}$ },
x tick label style = {xshift=1.25ex},
%
extra x ticks = { -1/2 },
extra x tick labels = {$-\frac{1}{2}$},
extra x tick style={tick label style={xshift=-2.4ex}},
%
ymajorticks=false
%
]
\addplot[
mark=none,
domain=0.6:3.5,
draw=red,
samples=200,
thick
] {ln(2*(\x-0.5))/ln(0.5)};
\addplot[
mark=none,
domain=-3.5:-0.6,
draw=red,
samples=200,
thick
] {ln(2*(-\x-0.5))/ln(0.5)};
\addplot[
mark=none,
domain=0:0.4,
draw=red,
samples=200,
thick
] {ln(-2*(\x-0.5))/ln(0.5)};
\addplot[
mark=none,
domain=-0.4:0,
draw=red,
samples=200,
thick
] {ln(-2*(-\x-0.5))/ln(0.5)};
\addplot[color = black, dashed] coordinates
{
( 0.5, 2.3 )
( 0.5, -3 )
};
\addplot[color = black, dashed] coordinates
{
( -0.5, 2.3 )
( -0.5, -3 )
};
%
\end{axis}
\end{tikzpicture}%
\caption{%
$
y
=
\log_{ \frac{1}{2} }
\bigl\lvert
2 \lvert x \rvert -1
\bigr\rvert
$
}
\begin{minipage}{.1cm}
\vfill
\end{minipage}
\end{subfigure}%
\hfill%
\begin{subfigure}[t]{0.25\linewidth}
\begin{tikzpicture}
\begin{axis}[
xmin = -2.5,
xmax = 4.5,
ymin = -3.0,
ymax = 3.0,
x = 0.5cm,
y = 0.65cm,
%
every tick label/.append style={font=\tiny},
%
axis lines = center,
axis line style = {-stealth'},
%
x label style = {yshift = -1em},
xlabel = {$x$},
%
y label style = {xshift = -1.25em, yshift = 0.25em},
ylabel = {$y$},
%
xtick = { 3/2 },
xticklabels = { $\frac{3}{2}$ },
x tick label style = {xshift=1.25ex},
%
extra x ticks = { 1/2 },
extra x tick labels = {$\frac{1}{2}$},
%extra x tick label style = {xshift=-5ex},
extra x tick style={tick label style={xshift=-2.4ex}},
%
ymajorticks=false
%
]
\addplot[
mark=none,
domain=1.6:4.5,
draw=red,
samples=200,
thick
] {ln(2*((\x-1)-0.5))/ln(0.5)};
\addplot[
mark=none,
domain=-2.5:0.4,
draw=red,
samples=200,
thick
] {ln(2*(-(\x-1)-0.5))/ln(0.5)};
\addplot[
mark=none,
domain=1:1.4,
draw=red,
samples=200,
thick
] {ln(-2*((\x-1)-0.5))/ln(0.5)};
\addplot[
mark=none,
domain=0.6:1,
draw=red,
samples=200,
thick
] {ln(-2*(-(\x-1)-0.5))/ln(0.5)};
\addplot[color = black, dashed] coordinates
{
( 0.5, 2.3 )
( 0.5, -3 )
};
\addplot[color = black, dashed] coordinates
{
( 1.5, 2.3 )
( 1.5, -3 )
};
%
\end{axis}
\end{tikzpicture}%
\caption{
$
y
=
\log_{ \frac{1}{2} }
\bigl\lvert
2 \lvert x - 1 \rvert -1
\bigr\rvert
$
}
\begin{minipage}{.1cm}
\vfill
\end{minipage}
\end{subfigure}%
\hfill%
\begin{subfigure}[t]{0.25\linewidth}
\begin{tikzpicture}
\begin{axis}[
xmin = -4.2,
xmax = 4.2,
ymin = -3.0,
ymax = 3.0,
x = 0.5cm,
y = 0.65cm,
%
%
every tick label/.append style={font=\tiny},
%
axis lines = center,
axis line style = {-stealth'},
%
x label style = {yshift = -1em},
xlabel = {$x$},
%
y label style = {xshift = -1.25em, yshift = 0.25em},
ylabel = {$y$},
%
xtick = { 1/2,3/2 },
xticklabels = { $\frac{1}{2}$,$\frac{3}{2}$ },
x tick label style = {xshift=1.25ex},
%
extra x ticks = { -3/2, -1/2, 1/2 },
extra x tick labels =
{$-\frac{3}{2}$,$-\frac{1}{2}$},
%extra x tick label style = {xshift=-5ex},
extra x tick style={tick label style={xshift=-2.4ex}},
%
ymajorticks=false
%
]
\addplot[
mark=none,
domain=0:0.4,
draw=red,
samples=200,
thick
] {ln(2*(-(\x-1)-0.5))/ln(0.5)};
\addplot[
mark=none,
domain=-0.4:0,
draw=red,
samples=200,
thick
] {ln(2*(-(-\x-1)-0.5))/ln(0.5)};
\addplot[
mark=none,
domain=1.6:4.2,
draw=red,
samples=200,
thick
] {ln(2*((\x-1)-0.5))/ln(0.5)};
\addplot[
mark=none,
domain=-4.2:-1.6,
draw=red,
samples=200,
thick
] {ln(2*((-\x-1)-0.5))/ln(0.5)};
\addplot[
mark=none,
domain=1:1.4,
draw=red,
samples=200,
thick
] {ln(-2*((\x-1)-0.5))/ln(0.5)};
\addplot[
mark=none,
domain=-1.4:-1,
draw=red,
samples=200,
thick
] {ln(-2*((-\x-1)-0.5))/ln(0.5)};
\addplot[
mark=none,
domain=0.6:1,
draw=red,
samples=200,
thick
] {ln(-2*(-(\x-1)-0.5))/ln(0.5)};
\addplot[
mark=none,
domain=-1:-0.6,
draw=red,
samples=200,
thick
] {ln(-2*(-(-\x-1)-0.5))/ln(0.5)};
\addplot[color = black, dashed] coordinates
{
( 0.5, 2.3 )
( 0.5, -3 )
};
\addplot[color = black, dashed] coordinates
{
( -0.5, 2.3 )
( -0.5, -3 )
};
\addplot[color = black, dashed] coordinates
{
( 1.5, 2.3 )
( 1.5, -3 )
};
\addplot[color = black, dashed] coordinates
{
( -1.5, 2.3 )
( -1.5, -3 )
};
%
\end{axis}
\end{tikzpicture}%
\caption{
$
y
=
\log_{ \frac{1}{2} }
\Bigl\lvert
2 \bigl\lvert \lvert x \rvert - 1 \bigr\rvert -1
\Bigr\rvert
$
}
\begin{minipage}{.1cm}
\vfill
\end{minipage}
\end{subfigure}%
\hfill%
\begin{subfigure}[t]{0.25\linewidth}
\begin{tikzpicture}
\begin{axis}[
xmin = -4.2,
xmax = 4.2,
ymin = -3.0,
ymax = 3.0,
x = 0.5cm,
y = 0.65cm,
%
every tick label/.append style={font=\tiny},
%
axis lines = center,
axis line style = {-stealth'},
%
x label style = {yshift = -1em},
xlabel = {$x$},
%
y label style = {xshift = -1.25em, yshift = 0.25em},
ylabel = {$y$},
%
xtick = { 1/2,3/2 },
xticklabels = { $\frac{1}{2}$,$\frac{3}{2}$ },
x tick label style = {xshift=1.25ex},
%
extra x ticks = { -3/2, -1/2 },
extra x tick labels =
{$-\frac{3}{2}$,$-\frac{1}{2}$},
extra x tick style={tick label style={xshift=-2.4ex}},
%
ymajorticks=false
%
]
\addplot[
mark=none,
domain=0:0.4,
draw=red,
samples=200,
thick
] {ln(2*(-(\x-1)-0.5))/ln(0.5)};
\addplot[
mark=none,
domain=-0.4:0,
draw=red,
samples=200,
thick
] {ln(2*(-(-\x-1)-0.5))/ln(0.5)};
\addplot[
mark=none,
domain=1.6:2,
draw=red,
samples=200,
thick
] {ln(2*((\x-1)-0.5))/ln(0.5)};
\addplot[
mark=none,
domain=2:4.2,
draw=red,
samples=200,
thick
] {-ln(2*((\x-1)-0.5))/ln(0.5)};
\addplot[
mark=none,
domain=-4.2:-2,
draw=red,
samples=200,
thick
] {-ln(2*((-\x-1)-0.5))/ln(0.5)};
\addplot[
mark=none,
domain=-2:-1.6,
draw=red,
samples=200,
thick
] {ln(2*((-\x-1)-0.5))/ln(0.5)};
\addplot[
mark=none,
domain=1:1.4,
draw=red,
samples=200,
thick
] {ln(-2*((\x-1)-0.5))/ln(0.5)};
\addplot[
mark=none,
domain=-1.4:-1,
draw=red,
samples=200,
thick
] {ln(-2*((-\x-1)-0.5))/ln(0.5)};
\addplot[
mark=none,
domain=0.6:1,
draw=red,
samples=200,
thick
] {ln(-2*(-(\x-1)-0.5))/ln(0.5)};
\addplot[
mark=none,
domain=-1:-0.6,
draw=red,
samples=200,
thick
] {ln(-2*(-(-\x-1)-0.5))/ln(0.5)};
\addplot[color = black, dashed] coordinates
{
( 0.5, 2.3 )
( 0.5, -3 )
};
\addplot[color = black, dashed] coordinates
{
( -0.5, 2.3 )
( -0.5, -3 )
};
\addplot[color = black, dashed] coordinates
{
( 1.5, 2.3 )
( 1.5, -3 )
};
\addplot[color = black, dashed] coordinates
{
( -1.5, 2.3 )
( -1.5, -3 )
};
%
\end{axis}
\end{tikzpicture}%
\caption{%
$
y
=
\biggl\lvert
\log_{ \frac{1}{2} }
\Bigl\lvert
2 \bigl\lvert \lvert x \rvert - 1 \bigr\rvert -1
\Bigr\rvert
\biggr\rvert
$%
}
\end{subfigure}%
\hspace*{\fill}%
\end{figure}
\end{document}
答案1
- 可以通过插入前两个标题来解决标题的垂直对齐问题
\vphantom{\Bigl\lvert}（参见最小工作示例：MWE）。这样，所有标题将具有相同的高度。 - 您的图形代码可以通过以下方式大大缩短：
- 在所有图表的开头定义通用图表样式，
- 添加
restrict y to domain=-2.4:2.4,通用图表样式， abs通过在公式中使用来重新制定函数。
- 除了前面提到的 MWE 中的缩小
subfigure尺寸、删除minipage（它们只是杂乱的）
\documentclass{article}
\usepackage[hmargin={1in,0.5in},
top=0.5in]{geometry}
\usepackage{amsthm,amssymb,mathtools}
\usepackage{caption}
\usepackage{subcaption}
\usepackage{pgfplots}
\usetikzlibrary{arrows.meta,
decorations.markings}
\pgfplotsset{compat = 1.18}
\begin{document}
\begin{figure}[ht]
\pgfplotsset{
axis lines = center,
axis line style = {-Stealth},
xmin = -3.5, xmax = 3.5,
ymin = -2.4, ymax = 3,
restrict y to domain=-2.4:2.4, % <=======
x = 0.6cm,
y = 0.6cm,
%
label style = {anchor=north east},
xlabel = {$x$},
ylabel = {$y$},
%
every tick label/.append style={font=\tiny},
%
ytick=\empty,
%
no marks, samples=500,
every axis plot post/.append style={red, thick}
}
\begin{subfigure}[t]{0.24\linewidth}
\begin{tikzpicture}
\begin{axis}[
xtick = {-0.5},
xticklabels = { $-\frac{1}{2}$ },
x tick label style = {xshift=-1.5ex},
%
extra x ticks = {0.5},
extra x tick labels = {$\frac{1}{2}$},
extra x tick style = {xshift=+3ex},
]
\addplot[domain=-3.5:3.5] {ln(2*(abs(\x)-0.5))/ln(0.5)};
\addplot[domain=-0.5:0.5] {ln(-2*(abs(\x)-0.5))/ln(0.5)};
%
\draw[dashed] (-0.5,-2.4) -- (-0.5,2.4)
( 0.5,-2.4) -- ( 0.5,2.4);
\end{axis}
\end{tikzpicture}
\caption{$\vphantom{\Bigl\lvert}
y = \log_{\frac{1}{2}} \bigl\lvert 2\lvert x \rvert -1 \bigr\rvert$}
\end{subfigure}%
\hfill% 2
\begin{subfigure}[t]{0.24\linewidth}
\begin{tikzpicture}
\begin{axis}[
xmin=-2.5, xmax=4.5,
xtick = {0.5},
xticklabels = {$\frac{1}{2}$},
x tick label style = {xshift=-1ex},
%
extra x ticks = {1.5},
extra x tick labels = {$\frac{3}{2}$},
extra x tick style={tick label style={xshift=2ex}},
]
\addplot[domain=-2.5:4.5] {ln(+2*(abs(\x-1)-0.5))/ln(0.5)};
\addplot[domain= 0.5:1.5] {ln(-2*(abs(\x-1)-0.5))/ln(0.5)};
%
\draw[dashed] (0.5,-2.4) -- (0.5,2.4)
(1.5,-2.4) -- (1.5,2.4);
\end{axis}
\end{tikzpicture}%
\caption{$\vphantom{\Bigl\lvert}
y = \log_{\frac{1}{2}} \bigl\lvert 2 \lvert x - 1 \rvert -1\bigr\rvert $}
\end{subfigure}%
\hfill% 3
\begin{subfigure}[t]{0.24\linewidth}
\begin{tikzpicture}
\begin{axis}[
xtick = {-1.5,-0.5},
xticklabels = {$-\frac{3}{2}$, $-\frac{1}{2}$},
x tick label style = {xshift=-1.5ex},
%
extra x ticks = {0.5, 1.5},
extra x tick labels = {$\frac{1}{2}$, $\frac{3}{2}$},
extra x tick style = {xshift=+3ex},
]
\addplot[domain=-4.5:4.5] {ln(2*((abs(\x)-1)-0.5))/ln(0.5)};
\addplot[domain=-0.5:0.5] {ln(2*(-(abs(\x)-1)-0.5))/ln(0.5)};
\addplot[domain=-1:1] {ln(2*(+(abs(\x)-1)+0.5))/ln(0.5)};
%
\addplot[domain=-1.5:-1] {ln(2*(-(-\x-0.5)+1))/ln(0.5)};
\addplot[domain= 1 :1.5] {ln(2*(-(+\x-0.5)+1))/ln(0.5)};
%
\draw[dashed] (-1.5,-2.4) -- (-1.5,2.4)
(-0.5,-2.4) -- (-0.5,2.4)
( 0.5,-2.4) -- ( 0.5,2.4)
( 1.5,-2.4) -- ( 1.5,2.4);
\end{axis}
\end{tikzpicture}
\caption{$y = \log_{\frac{1}{2}}\Bigl\lvert
2 \bigl\lvert\lvert x \rvert - 1 \bigr\rvert -1\Bigr\rvert$}
\end{subfigure}%
\hfill% 4
\begin{subfigure}[t]{0.24\linewidth}
\begin{tikzpicture}
\begin{axis}[
xtick = {-1.5,-0.5},
xticklabels = {$-\frac{3}{2}$, $-\frac{1}{2}$},
x tick label style = {xshift=-1.5ex},
%
extra x ticks = {0.5, 1.5},
extra x tick labels = {$\frac{1}{2}$, $\frac{3}{2}$},
extra x tick style = {xshift=+3ex},
]
\addplot[domain=-4.5:4.5] {-abs(ln(2*((abs(\x)-1)-0.5)))/ln(0.5)};
%
\addplot[domain=-0.5:0.5] {ln(2*(-(abs(\x)-1)-0.5))/ln(0.5)};
\addplot[domain=-1:1] {ln(2*(+(abs(\x)-1)+0.5))/ln(0.5)};
%
\addplot[domain=-1.5:-1] {ln(2*(-(-\x-0.5)+1))/ln(0.5)};
\addplot[domain= 1 :1.5] {ln(2*(-(+\x-0.5)+1))/ln(0.5)};
%
\draw[dashed] (-1.5,-2.4) -- (-1.5,2.4)
(-0.5,-2.4) -- (-0.5,2.4)
( 0.5,-2.4) -- ( 0.5,2.4)
( 1.5,-2.4) -- ( 1.5,2.4);
\end{axis}
\end{tikzpicture}
\caption{$y = \log_{\frac{1}{2}}\Bigl\lvert
2 \bigl\lvert\lvert x \rvert - 1 \bigr\rvert -1\Bigr\rvert$}
\end{subfigure}%
\caption{Common caption}
\end{figure}
\end{document}
答案2
对于第一个问题：只需在本地更改控制浮点数与标题之间的距离的参数，即skip：
\documentclass{article}
\usepackage{amsmath,amsthm,amssymb,wasysym,mathtools}
\usepackage{caption}
%\usepackage[position=b]{subcaption}
\usepackage{subcaption}
\usepackage%
[
%margin=1in,
right=0.5in,
left=1in,
top=0.5in]%
{geometry}
\usepackage{pgfplots}
\usetikzlibrary{arrows, decorations.markings}
\pgfplotsset{compat = newest}
\begin{document}
\begin{figure}[htp]
%\begin{figure}[h!]
\centering
\hspace*{\fill}%
\begin{subfigure}[t]{0.25\linewidth}
\begin{tikzpicture}
\begin{axis}[
xmin = -3.5,
xmax = 3.5,
ymin = -3.0,
ymax = 3.0,
x = 0.5cm,
y = 0.65cm,
%
every tick label/.append style={font=\tiny},
%
axis lines = center,
axis line style = {-stealth'},
%
x label style = {yshift = -1em},
xlabel = {$x$},
%
y label style = {xshift = -1.25em, yshift = 0.25em},
ylabel = {$y$},
%
xtick = { 1/2 },
xticklabels = { $\frac{1}{2}$ },
x tick label style = {xshift=1.25ex},
%
extra x ticks = { -1/2 },
extra x tick labels = {$-\frac{1}{2}$},
extra x tick style={tick label style={xshift=-2.4ex}},
%
ymajorticks=false
%
]
\addplot[
mark=none,
domain=0.6:3.5,
draw=red,
samples=200,
thick
] {ln(2*(\x-0.5))/ln(0.5)};
\addplot[
mark=none,
domain=-3.5:-0.6,
draw=red,
samples=200,
thick
] {ln(2*(-\x-0.5))/ln(0.5)};
\addplot[
mark=none,
domain=0:0.4,
draw=red,
samples=200,
thick
] {ln(-2*(\x-0.5))/ln(0.5)};
\addplot[
mark=none,
domain=-0.4:0,
draw=red,
samples=200,
thick
] {ln(-2*(-\x-0.5))/ln(0.5)};
\addplot[color = black, dashed] coordinates
{
( 0.5, 2.3 )
( 0.5, -3 )
};
\addplot[color = black, dashed] coordinates
{
( -0.5, 2.3 )
( -0.5, -3 )
};
%
\end{axis}
\end{tikzpicture}{\captionsetup{skip=9pt}%%<-- change the caption's skip locally
\caption{%
$
y
=
\log_{ \frac{1}{2} }
\bigl\lvert
2 \lvert x \rvert -1
\bigr\rvert
$
}}
\begin{minipage}{.1cm}
\vfill
\end{minipage}
\end{subfigure}%
\hfill%
\begin{subfigure}[t]{0.25\linewidth}
\begin{tikzpicture}
\begin{axis}[
xmin = -2.5,
xmax = 4.5,
ymin = -3.0,
ymax = 3.0,
x = 0.5cm,
y = 0.65cm,
%
every tick label/.append style={font=\tiny},
%
axis lines = center,
axis line style = {-stealth'},
%
x label style = {yshift = -1em},
xlabel = {$x$},
%
y label style = {xshift = -1.25em, yshift = 0.25em},
ylabel = {$y$},
%
xtick = { 3/2 },
xticklabels = { $\frac{3}{2}$ },
x tick label style = {xshift=1.25ex},
%
extra x ticks = { 1/2 },
extra x tick labels = {$\frac{1}{2}$},
%extra x tick label style = {xshift=-5ex},
extra x tick style={tick label style={xshift=-2.4ex}},
%
ymajorticks=false
%
]
\addplot[
mark=none,
domain=1.6:4.5,
draw=red,
samples=200,
thick
] {ln(2*((\x-1)-0.5))/ln(0.5)};
\addplot[
mark=none,
domain=-2.5:0.4,
draw=red,
samples=200,
thick
] {ln(2*(-(\x-1)-0.5))/ln(0.5)};
\addplot[
mark=none,
domain=1:1.4,
draw=red,
samples=200,
thick
] {ln(-2*((\x-1)-0.5))/ln(0.5)};
\addplot[
mark=none,
domain=0.6:1,
draw=red,
samples=200,
thick
] {ln(-2*(-(\x-1)-0.5))/ln(0.5)};
\addplot[color = black, dashed] coordinates
{
( 0.5, 2.3 )
( 0.5, -3 )
};
\addplot[color = black, dashed] coordinates
{
( 1.5, 2.3 )
( 1.5, -3 )
};
%
\end{axis}
\end{tikzpicture}{\captionsetup{skip=9pt}%%<-- change the caption's skip locally
\caption{
$
y
=
\log_{ \frac{1}{2} }
\bigl\lvert
2 \lvert x - 1 \rvert -1
\bigr\rvert
$
}}
\begin{minipage}{.1cm}
\vfill
\end{minipage}
\end{subfigure}%
\hfill%
\begin{subfigure}[t]{0.25\linewidth}
\begin{tikzpicture}
\begin{axis}[
xmin = -4.2,
xmax = 4.2,
ymin = -3.0,
ymax = 3.0,
x = 0.5cm,
y = 0.65cm,
%
%
every tick label/.append style={font=\tiny},
%
axis lines = center,
axis line style = {-stealth'},
%
x label style = {yshift = -1em},
xlabel = {$x$},
%
y label style = {xshift = -1.25em, yshift = 0.25em},
ylabel = {$y$},
%
xtick = { 1/2,3/2 },
xticklabels = { $\frac{1}{2}$,$\frac{3}{2}$ },
x tick label style = {xshift=1.25ex},
%
extra x ticks = { -3/2, -1/2, 1/2 },
extra x tick labels =
{$-\frac{3}{2}$,$-\frac{1}{2}$},
%extra x tick label style = {xshift=-5ex},
extra x tick style={tick label style={xshift=-2.4ex}},
%
ymajorticks=false
%
]
\addplot[
mark=none,
domain=0:0.4,
draw=red,
samples=200,
thick
] {ln(2*(-(\x-1)-0.5))/ln(0.5)};
\addplot[
mark=none,
domain=-0.4:0,
draw=red,
samples=200,
thick
] {ln(2*(-(-\x-1)-0.5))/ln(0.5)};
\addplot[
mark=none,
domain=1.6:4.2,
draw=red,
samples=200,
thick
] {ln(2*((\x-1)-0.5))/ln(0.5)};
\addplot[
mark=none,
domain=-4.2:-1.6,
draw=red,
samples=200,
thick
] {ln(2*((-\x-1)-0.5))/ln(0.5)};
\addplot[
mark=none,
domain=1:1.4,
draw=red,
samples=200,
thick
] {ln(-2*((\x-1)-0.5))/ln(0.5)};
\addplot[
mark=none,
domain=-1.4:-1,
draw=red,
samples=200,
thick
] {ln(-2*((-\x-1)-0.5))/ln(0.5)};
\addplot[
mark=none,
domain=0.6:1,
draw=red,
samples=200,
thick
] {ln(-2*(-(\x-1)-0.5))/ln(0.5)};
\addplot[
mark=none,
domain=-1:-0.6,
draw=red,
samples=200,
thick
] {ln(-2*(-(-\x-1)-0.5))/ln(0.5)};
\addplot[color = black, dashed] coordinates
{
( 0.5, 2.3 )
( 0.5, -3 )
};
\addplot[color = black, dashed] coordinates
{
( -0.5, 2.3 )
( -0.5, -3 )
};
\addplot[color = black, dashed] coordinates
{
( 1.5, 2.3 )
( 1.5, -3 )
};
\addplot[color = black, dashed] coordinates
{
( -1.5, 2.3 )
( -1.5, -3 )
};
%
\end{axis}
\end{tikzpicture}%
\caption{
$
y
=
\log_{ \frac{1}{2} }
\Bigl\lvert
2 \bigl\lvert \lvert x \rvert - 1 \bigr\rvert -1
\Bigr\rvert
$
}
\begin{minipage}{.1cm}
\vfill
\end{minipage}
\end{subfigure}%
\hfill%
\begin{subfigure}[t]{0.25\linewidth}
\begin{tikzpicture}
\begin{axis}[
xmin = -4.2,
xmax = 4.2,
ymin = -3.0,
ymax = 3.0,
x = 0.5cm,
y = 0.65cm,
%
every tick label/.append style={font=\tiny},
%
axis lines = center,
axis line style = {-stealth'},
%
x label style = {yshift = -1em},
xlabel = {$x$},
%
y label style = {xshift = -1.25em, yshift = 0.25em},
ylabel = {$y$},
%
xtick = { 1/2,3/2 },
xticklabels = { $\frac{1}{2}$,$\frac{3}{2}$ },
x tick label style = {xshift=1.25ex},
%
extra x ticks = { -3/2, -1/2 },
extra x tick labels =
{$-\frac{3}{2}$,$-\frac{1}{2}$},
extra x tick style={tick label style={xshift=-2.4ex}},
%
ymajorticks=false
%
]
\addplot[
mark=none,
domain=0:0.4,
draw=red,
samples=200,
thick
] {ln(2*(-(\x-1)-0.5))/ln(0.5)};
\addplot[
mark=none,
domain=-0.4:0,
draw=red,
samples=200,
thick
] {ln(2*(-(-\x-1)-0.5))/ln(0.5)};
\addplot[
mark=none,
domain=1.6:2,
draw=red,
samples=200,
thick
] {ln(2*((\x-1)-0.5))/ln(0.5)};
\addplot[
mark=none,
domain=2:4.2,
draw=red,
samples=200,
thick
] {-ln(2*((\x-1)-0.5))/ln(0.5)};
\addplot[
mark=none,
domain=-4.2:-2,
draw=red,
samples=200,
thick
] {-ln(2*((-\x-1)-0.5))/ln(0.5)};
\addplot[
mark=none,
domain=-2:-1.6,
draw=red,
samples=200,
thick
] {ln(2*((-\x-1)-0.5))/ln(0.5)};
\addplot[
mark=none,
domain=1:1.4,
draw=red,
samples=200,
thick
] {ln(-2*((\x-1)-0.5))/ln(0.5)};
\addplot[
mark=none,
domain=-1.4:-1,
draw=red,
samples=200,
thick
] {ln(-2*((-\x-1)-0.5))/ln(0.5)};
\addplot[
mark=none,
domain=0.6:1,
draw=red,
samples=200,
thick
] {ln(-2*(-(\x-1)-0.5))/ln(0.5)};
\addplot[
mark=none,
domain=-1:-0.6,
draw=red,
samples=200,
thick
] {ln(-2*(-(-\x-1)-0.5))/ln(0.5)};
\addplot[color = black, dashed] coordinates
{
( 0.5, 2.3 )
( 0.5, -3 )
};
\addplot[color = black, dashed] coordinates
{
( -0.5, 2.3 )
( -0.5, -3 )
};
\addplot[color = black, dashed] coordinates
{
( 1.5, 2.3 )
( 1.5, -3 )
};
\addplot[color = black, dashed] coordinates
{
( -1.5, 2.3 )
( -1.5, -3 )
};
%
\end{axis}
\end{tikzpicture}\captionsetup{skip=3pt}%<-- change the caption's skip
\caption{%
$
y
=
\biggl\lvert
\log_{ \frac{1}{2} }
\Bigl\lvert
2 \bigl\lvert \lvert x \rvert - 1 \bigr\rvert -1
\Bigr\rvert
\biggr\rvert
$%
}
\end{subfigure}%
\hspace*{\fill}%
\end{figure}
\end{document}