Relations & Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input from its domain.

Tags

CCSS.8.F.A.1

Front

What is the vertical line test?

Back

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

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 a mapping in the context of functions?

Back

A mapping is a relation that pairs each element of a set with an element of another set, which can be a function if each input is paired with exactly one output.

Tags

CCSS.8.F.A.1

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 relation to be not a function?

Back

A relation is not a function if at least one input is associated with more than one output.

Tags

CCSS.8.F.A.1

Front

What are independent and dependent variables in a function?

Back

The independent variable is the input (x-value), while the dependent variable is the output (y-value) that depends on the input.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where each input x has a unique output.

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 the set of points {(1, 2), (1, 3)}, where the input 1 is associated with two different outputs.

Tags

CCSS.8.F.A.1

Front

What is a one-to-one function?

Back

A one-to-one function is a function where each output is associated with exactly one input, meaning no two different inputs produce the same output.