Domain and Range of Graphs

Front

What is the definition of 'domain' in relation to graphs?

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 definition of 'range' in relation to graphs?

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, identify the x-values that the graph covers. Look for any restrictions such as vertical asymptotes or holes.

Front

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

Back

To determine the range, identify the y-values that the graph covers. Look for any restrictions such as horizontal asymptotes or gaps.

Front

What is the domain of the function f(x) = √(x)?

Back

The domain is x ≥ 0.

Front

What is the range of the function f(x) = √(x)?

Back

The range is y ≥ 0.

Front

What is the domain of the function f(x) = 1/(x-2)?

Back

The domain is all real numbers except x = 2.

Front

What is the range of the function f(x) = 1/(x-2)?

Back

The range is all real numbers except y = 0.

Front

What does it mean if a function has a restricted domain?

Back

A restricted domain means that certain x-values are not included in the function, often due to undefined values.

Front

What does it mean if a function has a restricted range?

Back

A restricted range means that certain y-values cannot be produced by the function.