Domain and Range of Linear Functions

Front

What is the definition of the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the definition of the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

In the context of linear functions, what does a linear relationship mean?

Back

A linear relationship means that there is a constant rate of change between the variables, represented by a straight line on a graph.

Front

What is the standard form of a linear function?

Back

The standard form of a linear function is expressed as y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine the domain of a linear function?

Back

The domain of a linear function is typically all real numbers unless restricted by a specific context.

Front

How do you determine the range of a linear function?

Back

The range of a linear function is also typically all real numbers unless restricted by a specific context.

Front

What does it mean if a function is defined only for certain x-values?

Back

It means that the domain is restricted, and only specific input values are valid for the function.

Front

What is set builder notation?

Back

Set builder notation is a mathematical notation for describing a set by stating the properties that its members must satisfy.

Front

How would you express the range of a function in set builder notation if the range is from -2 to 1?

Back

{y | -2 ≤ y < 1}.

Front

What variable typically represents the domain in a function?

Back

The variable x typically represents the domain.