Reciprocals of Functions Flashcards

1
Q

f(x) > 0 | f(x) < 0

A

1/f(x) > 0 | 1/f(x) < 0

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2
Q

f(x) increases/decreases

A

1/f(x) decreases/increases

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3
Q

f(x) → ±ꝏ or 0

A

1/f(x) → 0 or ±ꝏ

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4
Q

Min/Max = f(a) ≠ 0

A

Max/Min= 1/f(a) ≠ 0

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5
Q

Min/Max at (a, f(a))

A

Max/Min at (a, 1/f(a))

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6
Q

f(a) ∉ R|VA: x = a

A

1/f(a) = 0

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7
Q

f(a) = 0

A

1/f(a) ∉ R|VA: x = a

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8
Q

f(x) = 1/f(x)

A

y = ±1|[f(x)]² = 1

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9
Q

HA: f(x) = a

A

HA: f(x) = 1/a

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