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Flashcards: Domain and range

Cut along the dashed lines and fold each card on the dotted line: question on the front, answer on the back.

What is the domain of f(x) = √(x βˆ’ 1) (real numbers only)?

x β‰₯ 1

What is the domain of f(x) = √(5 βˆ’ x) (real numbers only)?

x ≀ 5

What is the domain of f(x) = √(βˆ’5 βˆ’ x) (real numbers only)?

x ≀ βˆ’5

What is the domain of f(x) = 1/√(x + 7) (real numbers only)?

x > βˆ’7

What is the smallest x in the domain of f(x) = √(5x βˆ’ 10)?

2

What is the domain of f(x) = √(x + 8) (real numbers only)?

x β‰₯ βˆ’8

What is the smallest x in the domain of f(x) = √(4x βˆ’ 12)?

3

What is the domain of f(x) = 1/(x βˆ’ 4) (real numbers only)?

x β‰  4

What is the domain of f(x) = √(βˆ’2 βˆ’ x) (real numbers only)?

x ≀ βˆ’2

What is the domain of f(x) = 1/(x + 8) (real numbers only)?

x β‰  βˆ’8

What is the smallest x in the domain of f(x) = √(3x)?

0

What is the smallest x in the domain of f(x) = √(5x + 10)?

-2

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