Functions(Domain and Range)

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What is a function?

Back

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

Tags

CCSS.8.F.A.1

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What is the domain of a function?

Back

The domain of a function is the complete set of possible values of the independent variable (usually x) that can be used in the function.

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What is the range of a function?

Back

The range of a function is the complete set of possible values of the dependent variable (usually y) that can result from using the function.

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How can you determine if a mapping diagram represents a function?

Back

A mapping diagram represents a function if each input (x-value) is connected to exactly one output (y-value). If any input is connected to more than one output, it is not a function.

Tags

CCSS.8.F.A.1

Front

What does it mean if a table does not represent a function?

Back

If a table does not represent a function, it means that at least one input (x-value) is associated with more than one output (y-value).

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) = 2x + 3, where for each x-value, there is a unique y-value.

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

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What is the vertical line test?

Back

The vertical line test is a method used to determine if a graph represents a function. If any vertical line intersects the graph at more than one point, the graph does not represent a function.

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If a function has a domain of x ≥ -3, what does this mean?

Back

This means that the function accepts all values of x that are greater than or equal to -3.

Tags

CCSS.HSF.IF.A.1

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What are the possible values of the range if all range values are positive?

Back

If all range values are positive, then the range consists of all positive numbers greater than zero.