Functions

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

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What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a graph of a function. If any vertical line intersects the curve more than once, then the curve is not a function.

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Back

Front

What does it mean for a relation to be a function?

Back

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

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Back

Front

What is the definition of a linear function?

Back

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Front

Back

The slope of the line is 3.

Front

What is a quadratic function?

Back

Front

Is the relation defined by pairs (1,2), (1,3), (2,4) a function? Why?

Back

No, because the x-value 1 has two different y-values (2 and 3) associated with it.