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The domain of a one-to-one function is , and its range is . State the domain and the range of .
What is the domain of ?
The domain of is .
(Type your answer in interval notiation.)
What is the range of ?
The range of is
(Type your answer in interval notation.)

Ask by Whittaker Marshall. in the United States
Nov 02,2024

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The domain of is and the range of is .

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Bonus Knowledge

The range of is . Since the domain and range of a function and its inverse are swapped, we can confidently say that whatever was the range of the original function becomes the domain of its inverse and vice versa.
Now, here’s a fun fact: when you think of one-to-one functions, visualize a unique matchmaker! Each input is paired with a unique output, making it easy to trace those relationships backward—just like the perfect date that guarantees compatibility! So, remembering the function’s traits helps us easily identify its inverse’s domain and range.

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