Identifying Functions

Front

What is a function in mathematics?

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 used to determine if a curve is a function. If a vertical line intersects the curve at more than one point, then the curve is not a function.

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if it assigns a unique output for every unique input, meaning no two different inputs produce the same output.

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) for which the function is defined.

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) that result from using the function.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

How can you identify a function from a set of ordered pairs?

Back

A set of ordered pairs represents a function if no two pairs have the same first element (input) with different second elements (outputs).

Tags

CCSS.8.F.A.1

Front

What is a mapping diagram?

Back

A mapping diagram is a visual representation that shows how each element of the domain is paired with an element of the range in a function.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is the difference between a function and a relation?

Back

A relation is any set of ordered pairs, while 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 is a piecewise function?

Back

A piecewise function is a function that is defined by different expressions or rules for different parts of its domain.

Front

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

Back

An example of a function that is not linear is a quadratic function, such as f(x) = x^2.

Tags

CCSS.8.F.A.3