Function or Not a Function

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

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What is the definition of 'not a function'?

Back

A relation is not a function if at least one input (x-value) is associated with more than one output (y-value).

Front

How can you determine if a set of ordered pairs is a function?

Back

Check if any x-values repeat with different y-values. If they do, it is not a function.

Front

What does it mean if a y-value repeats in a set of ordered pairs?

Back

A repeating y-value does not affect whether a relation is a function, as long as each x-value is unique.

Front

What is an example of a function?

Back

The set of ordered pairs (1, 2), (2, 3), (3, 4) is a function because each x-value is unique.

Front

What is an example of not a function?

Back

The set of ordered pairs (1, 2), (1, 3), (2, 4) is not a function because the x-value 1 is associated with two different y-values.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

Can a function have the same y-value for different x-values?

Back

Yes, a function can have the same y-value for different x-values, as long as each x-value is unique.

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, which can show how two quantities are related.

Front

What is the significance of ordered pairs in functions?

Back

Ordered pairs (x, y) represent the relationship between inputs and outputs in a function.