Phase 3 - Domain, Range, and Functions

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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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Define domain in the context of functions.

Back

The domain of a function is the complete set of possible values of the independent variable (input) for which the function is defined.

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Define range in the context of functions.

Back

The range of a function is the complete set of possible values of the dependent variable (output) that the function can produce.

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What does it mean for a graph to represent a function?

Back

A graph represents a function if every vertical line drawn through the graph intersects it at most once (Vertical Line Test).

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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 crosses the graph more than once, it is not a function.

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Back

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The range is the set of all possible output values of the function, which can be determined by analyzing the vertex and direction of the parabola.

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Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input is associated with exactly one output.

Front

What does it mean for a table to represent a function?

Back

A table represents a function if each input value corresponds to exactly one output value.