def test_is_strictly_decreasing():
"""Test whether is_strictly_decreasing returns correct value."""
assert is_strictly_decreasing(1/(x**2 - 3*x), Interval.Lopen(3, oo))
assert not is_strictly_decreasing(
1/(x**2 - 3*x), Interval.Ropen(-oo, S(3)/2))
assert not is_strictly_decreasing(-x**2, Interval(-oo, 0))
assert not is_strictly_decreasing(1)
def test_is_strictly_decreasing():
assert is_strictly_decreasing(1 / (x**2 - 3 * x), Interval.Lopen(3, oo))
assert is_strictly_decreasing(1 / (x**2 - 3 * x),
Interval.Ropen(-oo,
S(3) / 2)) is False
assert is_strictly_decreasing(-x**2, Interval(-oo, 0)) is False
assert is_strictly_decreasing(1) is False
def test_is_strictly_decreasing():
"""Test whether is_strictly_decreasing returns correct value."""
assert is_strictly_decreasing(1 / (x**2 - 3 * x), Interval.Lopen(3, oo))
assert not is_strictly_decreasing(1 / (x**2 - 3 * x),
Interval.Ropen(-oo, Rational(3, 2)))
assert not is_strictly_decreasing(-(x**2), Interval(-oo, 0))
assert not is_strictly_decreasing(1)
assert is_strictly_decreasing(1 / (x**2 - 3 * x), Interval.open(1.5, 3))
def test_is_strictly_increasing():
assert is_strictly_increasing(4 * x**3 - 6 * x**2 - 72 * x + 30,
Interval.Ropen(-oo, -2))
assert is_strictly_increasing(4 * x**3 - 6 * x**2 - 72 * x + 30,
Interval.Lopen(3, oo))
assert is_strictly_increasing(4 * x**3 - 6 * x**2 - 72 * x + 30,
Interval.open(-2, 3)) is False
assert is_strictly_increasing(-x**2, Interval(0, oo)) is False
assert is_strictly_decreasing(1) is False
def test_is_strictly_increasing():
"""Test whether is_strictly_increasing returns correct value."""
assert is_strictly_increasing(4 * x**3 - 6 * x**2 - 72 * x + 30,
Interval.Ropen(-oo, -2))
assert is_strictly_increasing(4 * x**3 - 6 * x**2 - 72 * x + 30,
Interval.Lopen(3, oo))
assert not is_strictly_increasing(4 * x**3 - 6 * x**2 - 72 * x + 30,
Interval.open(-2, 3))
assert not is_strictly_increasing(-x**2, Interval(0, oo))
assert not is_strictly_decreasing(1)
def test_is_strictly_increasing():
"""Test whether is_strictly_increasing returns correct value."""
assert is_strictly_increasing(
4*x**3 - 6*x**2 - 72*x + 30, Interval.Ropen(-oo, -2))
assert is_strictly_increasing(
4*x**3 - 6*x**2 - 72*x + 30, Interval.Lopen(3, oo))
assert not is_strictly_increasing(
4*x**3 - 6*x**2 - 72*x + 30, Interval.open(-2, 3))
assert not is_strictly_increasing(-x**2, Interval(0, oo))
assert not is_strictly_decreasing(1)
def test_strictly_decreasing():
assert is_strictly_decreasing(1 / (x**2 - 3 * x), Interval.open(1.5, 3))
def test_is_strictly_decreasing():
assert is_strictly_decreasing(1/(x**2 - 3*x), Interval.open(1.5, 3))
assert is_strictly_decreasing(1/(x**2 - 3*x), Interval.Lopen(3, oo))
assert is_strictly_decreasing(1/(x**2 - 3*x), Interval.Ropen(-oo, S(3)/2)) is False
assert is_strictly_decreasing(-x**2, Interval(-oo, 0)) is False
assert is_strictly_decreasing(1) is False
def test_is_strictly_increasing():
assert is_strictly_increasing(4*x**3 - 6*x**2 - 72*x + 30, Interval.Ropen(-oo, -2))
assert is_strictly_increasing(4*x**3 - 6*x**2 - 72*x + 30, Interval.Lopen(3, oo))
assert is_strictly_increasing(4*x**3 - 6*x**2 - 72*x + 30, Interval.open(-2, 3)) is False
assert is_strictly_increasing(-x**2, Interval(0, oo)) is False
assert is_strictly_decreasing(1) is False
def test_strictly_decreasing():
assert is_strictly_decreasing(1/(x**2 - 3*x), Interval.open(1.5, 3))