学習環境
- Surface
- Windows 10 Pro (OS)
- Nebo(Windows アプリ)
- iPad
- MyScript Nebo - MyScript(iPad アプリ(iOS))
- 参考書籍
代数への出発 (新装版 数学入門シリーズ) (松坂 和夫(著)、岩波書店)の第6章(1次方程式、2次方程式)、5(2次関数の最大と最小)の問16の解答を求めてみる。
よって値域は
コード
#!/usr/bin/env python3
from sympy import symbols, plot, Rational
print('16.')
x = symbols('x')
ys = [x ** 2 - 3 * x,
2 * x ** 2 + 4 * x + 5,
6 + 3 * x - x ** 2 / 2]
maxs = [4, 11, Rational(21, 2)]
mins = [-2, 3, 6]
intervals = [(x, a, b) for a, b in [(2, 4),
(-3, 1),
(0, 4)]]
for i, (y, mi, ma, interval) in enumerate(zip(ys, mins, maxs, intervals), 1):
p = plot(y, mi, ma,
interval,
ylim=(min(mins), max(maxs)),
legend=True,
show=False)
colors = ['red', 'green', 'blue', 'brown', 'orange',
'purple', 'pink', 'gray', 'skyblue', 'yellow']
for o, color in zip(p, colors):
o.line_color = color
p.save(f'sample16_{i}.png')
p.show()
入出力結果(Zsh、PowerShell、Terminal、Jupyter(IPython))
% ./sample16.py
16.
/opt/local/Library/Frameworks/Python.framework/Versions/3.8/lib/python3.8/site-packages/sympy/plotting/plot.py:1065: MatplotlibDeprecationWarning:
The set_smart_bounds function was deprecated in Matplotlib 3.2 and will be removed two minor releases later.
self.ax[i].spines['left'].set_smart_bounds(True)
/opt/local/Library/Frameworks/Python.framework/Versions/3.8/lib/python3.8/site-packages/sympy/plotting/plot.py:1066: MatplotlibDeprecationWarning:
The set_smart_bounds function was deprecated in Matplotlib 3.2 and will be removed two minor releases later.
self.ax[i].spines['bottom'].set_smart_bounds(False)
%
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