Function or Not?

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. In other words, for every x-value in the domain, there is one and only one y-value in the range.

Tags

CCSS.8.F.A.1

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

How can you determine if a set of coordinates represents a function?

Back

A set of coordinates represents a function if no x-value is repeated. Each x-value must correspond to only one y-value.

Tags

CCSS.8.F.A.1

Front

What is a vertical line test?

Back

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

Front

What does it mean for a relation to be not a function?

Back

A relation is not a function if at least one input (x-value) is associated with more than one output (y-value).

Tags

CCSS.8.F.A.1

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between the domain and range of a function, showing how each input is paired with an output.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.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, as long as each input corresponds to only one output.

Tags

CCSS.8.F.A.1

Front

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

Front

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

Back

An example of a relation that is not a function is {(1, 2), (1, 3)}, where the input 1 corresponds to two different outputs.

Tags

CCSS.8.F.A.1