Functions

Front

What is the definition of a function?

Back

A function is a relation where every input has only ONE output.

Tags

CCSS.8.F.A.1

Front

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

Back

A mapping is a function if each input is paired with exactly one output.

Tags

CCSS.8.F.A.1

Front

What is the vertical line test?

Back

A method to determine if a graph represents a function; if a vertical line crosses the graph more than once, it is not a function.

Front

What are inputs and outputs in a function?

Back

Inputs are the values you put into a function (x-values), and outputs are the results you get (y-values).

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, but each input must have only one output.

Tags

CCSS.8.F.A.1

Front

What is a linear function?

Back

A function that graphs to a straight line, typically in the form y = mx + b.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is a non-linear function?

Back

A function that does not graph to a straight line, such as quadratic or exponential functions.

Tags

CCSS.8.F.A.3

Front

What is a one-to-one function?

Back

A function where each output is paired with exactly one unique input.

Front

What is a constant function?

Back

A function that always returns the same value regardless of the input.

Front

What is the domain of a function?

Back

The set of all possible input values (x-values) for the function.