Functions and Relations (HSC SSCE Mathematics Advanced): Quizzes

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Functions and Relations
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What is the key requirement for a relation to be a function?

Each input has exactly one output

What does a relation describe in mathematics?

A connection between two sets of values

Which types of relations are functions?

One-to-one and many-to-one only

Why is a one-to-many relation NOT a function?

One input relates to multiple outputs

What does the vertical line test check for?

If a vertical line intersects >1 point

Is y=x2y = x^2 a function? What type?

Yes, it is a many-to-one function

A table shows x=5x = 5 paired with y=3y = 3 and x=5x = 5 paired with y=7y = 7. Is this a function?

No, one xx-value has two yy-values

Why does the vertical line test work?

A vertical line = one xx-value

What type of function is y=x2+2y = x^2 + 2?

Many-to-one function

Which statement is true about functions and relations?

All functions are relations

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