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(a)

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One-to-one function definition:

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A function is called a one-to-one function if it never takes on the same value twice.

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\"\" whenever \"\".

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(b)

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Horizontal line test is used to determine one to one function.

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Horizontal line test:

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A function is one-to-one if and only if no horizontal line intersects its graph more than once.

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It means that any horizontal line in the graph must cross the curve at one point only. 

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(a) A function is called a one-to-one function if it never takes on the same value twice.

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(b) horizontal line test is used to determine one to one function.