Is It A Function 2021

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What is a function in mathematics?

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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How can you determine if a graph represents a function?

Back

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

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What is the definition of ordered pairs in the context of functions?

Back

Ordered pairs are pairs of numbers (x, y) where 'x' is the input and 'y' is the output of a function.

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What does it mean for a set of ordered pairs to be a function?

Back

A set of ordered pairs is a function if no two pairs have the same first element (x-value) with different second elements (y-values).

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What is the Vertical Line Test?

Back

The Vertical Line Test is a method to determine if a graph is a function by checking if any vertical line intersects the graph more than once.

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Can a function have the same output for different inputs?

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

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

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A relation such as {(1, 2), (1, 3)} is not a function because the input '1' corresponds to two different outputs.

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What is the significance of the x-value in a function?

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The x-value (input) in a function determines the corresponding y-value (output); each x-value must map to only one y-value.

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How can you tell if a set of ordered pairs is not a function?

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A set of ordered pairs is not a function if any x-value appears more than once with different y-values.

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What does it mean for a relation to be a function in terms of domain and range?

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In a function, each element of the domain (input set) is associated with exactly one element of the range (output set).