Reciprocals of Functions Flashcards
1
Q
f(x) > 0 | f(x) < 0
A
1/f(x) > 0 | 1/f(x) < 0
2
Q
f(x) increases/decreases
A
1/f(x) decreases/increases
3
Q
f(x) → ±ꝏ or 0
A
1/f(x) → 0 or ±ꝏ
4
Q
Min/Max = f(a) ≠ 0
A
Max/Min= 1/f(a) ≠ 0
5
Q
Min/Max at (a, f(a))
A
Max/Min at (a, 1/f(a))
6
Q
f(a) ∉ R|VA: x = a
A
1/f(a) = 0
7
Q
f(a) = 0
A
1/f(a) ∉ R|VA: x = a
8
Q
f(x) = 1/f(x)
A
y = ±1|[f(x)]² = 1
9
Q
HA: f(x) = a
A
HA: f(x) = 1/a