Identifying 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 definition of a domain in a function?

Back

The domain of a function is the complete set of possible values of the independent variable (input).

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is the definition of a range in a function?

Back

The range of a function is the complete set of possible values of the dependent variable (output).

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).

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 each x-value corresponds to one 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 the set of points {(1,2), (1,3)}, where the input 1 corresponds to two different outputs.

Tags

CCSS.8.F.A.1

Front

What are inputs in a function?

Back

Inputs are the values that are fed into a function, typically represented by the variable x.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What are outputs in a function?

Back

Outputs are the results obtained from a function after applying the inputs, typically represented by the variable y.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is the vertical line test?

Back

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

Front

What is a one-to-one function?

Back

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