Domain and Range of graphs

Front

What is the domain of a graph?

Back

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

Front

What is the range of a graph?

Back

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

Front

How do you determine the domain of a function from its graph?

Back

To determine the domain, look for the x-values that the graph covers. Any x-value that has a corresponding y-value is included in the domain.

Front

How do you determine the range of a function from its graph?

Back

To determine the range, look for the y-values that the graph covers. Any y-value that corresponds to an x-value in the domain is included in the range.

Front

What does it mean if the domain is 'All real numbers'?

Back

It means that the function can accept any real number as an input.

Front

What does it mean if the range is 'y ≤ 5'?

Back

It means that the output values of the function can be any number less than or equal to 5.

Front

If a graph has a domain of -2 < x ≤ 3, what does this indicate?

Back

This indicates that x can take any value greater than -2 and up to and including 3.

Front

What is the significance of closed intervals in domain and range?

Back

Closed intervals, indicated by brackets [ ], include the endpoints, meaning those values are part of the domain or range.

Front

What is the significance of open intervals in domain and range?

Back

Open intervals, indicated by parentheses ( ), do not include the endpoints, meaning those values are not part of the domain or range.

Front

How can you express the domain of a function that is defined for all x except x = 2?

Back

The domain can be expressed as: x ∈ ℝ, x ≠ 2.