Engineering Maths (FUNCTIONS)

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7 Terms

1
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Define a “One-to-one”

Where one output(y) value is produced by one one input(x) value

2
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Define a “Many-to-One”

Where one output(y) value is produced by many input(x) values

3
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Define a “One-to-Many”

Where many output(y) values are produced by one input(x) value

4
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Why is a “One-to-Many” relationship not a function

A function only produces one output, & a one to many produces multiple outputs

5
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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

6
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Under what condition is a function even

When f(-x) = f(x)

7
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Under what condition is a function odd

When f(x) = -f(x)