Is it a Function

Front

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.

Tags

CCSS.8.F.A.1

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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 Vertical Line Test?

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

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

Back

A set of values is a function if each input (x-value) is paired with exactly one output (y-value).

Tags

CCSS.8.F.A.1

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, but each input must have only one output.

Tags

CCSS.8.F.A.1

Front

What is the definition of a relation in mathematics?

Back

A relation is a set of ordered pairs, which can include functions but is not limited to them.

Tags

CCSS.8.F.A.1

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What is an example of a function?

Back

An example of a function is f(x) = x^2, where each input x has a unique output x^2.

Tags

CCSS.8.F.A.1

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What is an example of a non-function?

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An example of a non-function is the relation {(1, 2), (1, 3)}, where the input 1 is associated with two different outputs.

Tags

CCSS.8.F.A.1

Front

What is the significance of the ordered pairs in a function?

Back

Ordered pairs in a function represent the relationship between inputs and outputs, where the first element is the input and the second is the output.

Tags

CCSS.HSF.IF.A.1

CCSS.8.F.A.1

Front

How do you identify a function from a set of ordered pairs?

Back

To identify a function from a set of ordered pairs, check that no two pairs have the same first element (input) with different second elements (outputs).

Tags

CCSS.8.F.A.1