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 set builder notation, how is the range of a function represented?

Back

The range is represented as {y | condition on y}, indicating the values y can take.

Front

What variable typically represents the domain in a function?

Back

The variable x typically represents the domain.

Front

What variable typically represents the range in a function?

Back

The variable y typically represents the range.

Front

How do you determine the domain from a graph?

Back

The domain is determined by reading the graph from left to right and identifying the x-values.

Front

How do you determine the range from a graph?

Back

The range is determined by reading the graph from bottom to top and identifying the y-values.

Front

What is the domain of the function represented by the graph if it shows values from 0 to 3?

Back

The domain in set builder notation is {x | 0 ≤ x < 3}.

Front

What is the range of a linear function that extends infinitely in both directions?

Back

The range is all real numbers.

Front

If a function has a range of {y | -2 ≤ y ≤ 2}, what does this mean?

Back

This means that the output values (y) of the function can be any number between -2 and 2, inclusive.