functions domain range

Front

What is a function?

Back

A function is a relation where each input has exactly one output.

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) for which the function is defined.

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

What does it mean for a function to pass the vertical line test?

Back

A function passes the vertical line test if no vertical line intersects the graph of the function more than once.

Front

What is an example of a set of values that represents a function?

Back

(6,-5), (7,-3), (8,-1), (9,1) is a set of values that represents a function.

Tags

CCSS.8.F.A.1

Front

How can you determine if a relation is a function?

Back

A relation is a function if each input value corresponds to exactly one output value.

Tags

CCSS.8.F.A.1

Front

What is the significance of the vertical line test in graphing functions?

Back

The vertical line test is used to determine if a graph represents a function by checking if any vertical line intersects the graph more than once.

Front

What is the difference between domain and range?

Back

Domain refers to the set of input values, while range refers to the set of output values of a function.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

Can a function have a domain that includes negative numbers?

Back

Yes, a function can have a domain that includes negative numbers, depending on its definition.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is an example of a function with a limited range?

Back

The function f(x) = x^2 has a range of [0, ∞) because it only produces non-negative outputs.

Tags

CCSS.HSF-BF.B.4D