Relations Functions Domain and Range Practice

Front

What is the range of a relation?

Back

The range of a relation is the set of all output values (y-values) that correspond to the input values (x-values) in a set of ordered pairs.

Front

What is the domain of a relation?

Back

The domain of a relation is the set of all input values (x-values) that can be used in a function.

Front

How do you determine if a relation is a function?

Back

A relation is a function if each input (x-value) is associated with exactly one output (y-value). If any input is associated with more than one output, it is not a function.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to represent a point in a coordinate system, typically written as (x, y).

Front

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

Back

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

Front

What is a vertical line test?

Back

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

Front

What is the difference between domain and range?

Back

Domain refers to the set of all possible input values (x-values) for a function, while range refers to the set of all possible output values (y-values).

Front

What is a mapping in relation to functions?

Back

A mapping is a way to describe how each element of the domain is paired with an element of the range in a function.

Front

What is a function notation?

Back

Function notation is a way to write functions in the form f(x), where f represents the function and x is the input variable.

Front

What is the significance of the x-axis in a graph?

Back

The x-axis represents the domain of a function, showing all possible input values.