Mappings: One-to-One, Many-to-One, or One-to-Many?

Can you guess the nature of these mappings from x to y: are they one-to-one (a function), many-to-one (also a function), or one-to-many (not a function)?
You may want to plot these mappings on graph paper
No calculators allowed
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Last updated: March 8, 2022
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First submittedMarch 8, 2022
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1. y = x
One-to-one
Many-to-one
One-to-many
2. x2 + y2 = 25
One-to-one
Many-to-one
One-to-many
3. y = x2 + x + 1
One-to-one
Many-to-one
One-to-many
4. y = ln x
One-to-one
Many-to-one
One-to-many
5. y = x2
One-to-one
Many-to-one
One-to-many
6. y = 2x
One-to-one
Many-to-one
One-to-many
7. y = cos x
One-to-one
Many-to-one
One-to-many
8. y = x3
One-to-one
Many-to-one
One-to-many
9. y = x4
One-to-one
Many-to-one
One-to-many
10. y = arccos x
One-to-one
Many-to-one
One-to-many
11. y = arcsin x
One-to-one
Many-to-one
One-to-many
12. y = sin x
One-to-one
Many-to-one
One-to-many
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