Is it 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).

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How can you determine if a relation is a function?

Back

You can determine if a relation is a function by checking if each x-value has only one corresponding y-value.

Front

What does the vertical line test indicate?

Back

The vertical line test states that if a vertical line intersects a graph at more than one point, the relation is not a function.

Front

Is the set of pairs (2,3), (2,4), (3,5) a function?

Back

No, because the x-value 2 has two different y-values (3 and 4).

Front

Is the set of pairs (1,2), (2,3), (3,4) a function?

Back

Yes, because each x-value has only one corresponding y-value.

Front

What is an example of a function?

Back

An example of a function is the relation {(1,2), (2,3), (3,4)}.

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What is an example of a relation that is not a function?

Back

An example of a relation that is not a function is {(1,2), (1,3), (2,4)}.

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What is the importance of functions in mathematics?

Back

Functions are important because they describe relationships between quantities and are fundamental in algebra, calculus, and many real-world applications.

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, as long as each input has only one output.