Functions

Front

What is a function?

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

Front

What is the vertical line test?

Back

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

Front

What are independent and dependent variables?

Back

Independent variables are inputs (x-values) that can be controlled, while dependent variables are outputs (y-values) that depend on the independent variables.

Tags

CCSS.6.EE.C.9

Front

What is an output in a function?

Back

An output is the result of applying a function to an input, typically represented as the y-value in a function.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is an input in a function?

Back

An input is a value that is fed into a function, typically represented as the x-value in a function.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What does it mean for a relation to be a function?

Back

A relation is a function if every input (x-value) has exactly one output (y-value) associated with it.

Tags

CCSS.8.F.A.1

Front

What is a dependent variable?

Back

A dependent variable is the output of a function, which depends on the value of the independent variable.

Tags

CCSS.6.EE.C.9

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, where each pair consists of an input and an output.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input is associated with exactly one output.

Tags

CCSS.8.F.A.1

Front

What does it mean if a graph does not pass the vertical line test?

Back

If a graph does not pass the vertical line test, it means that there is at least one input that corresponds to multiple outputs, indicating it is not a function.