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Define a “One-to-one”
Where one output(y) value is produced by one one input(x) value
Define a “Many-to-One”
Where one output(y) value is produced by many input(x) values
Define a “One-to-Many”
Where many output(y) values are produced by one input(x) value
Why is a “One-to-Many” relationship not a function
A function only produces one output, & a one to many produces multiple outputs
Under what condition is an f(x) = x² a function
When the domain is 0 ≤ x ≤ ∞ (it will be a one to one). If it is between -∞ ≤ x ≤ ∞ it will have a many to one relationship
Under what condition is a function even
When f(-x) = f(x)
Under what condition is a function odd
When f(x) = -f(x)