Domain and Range from Graphs Review

Front

What is the definition of 'domain' in 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 'range' in a function?

Back

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

Front

How do you determine the domain of a graph?

Back

To determine the domain of a graph, 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 graph?

Back

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

Front

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

Back

A restricted domain means that not all x-values are included; there are specific values that are excluded from the function.

Front

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

Back

A restricted range means that not all y-values are included; there are specific values that the function cannot produce.

Front

What is an example of a function with a limited domain?

Back

An example is the square root function, f(x) = √x, which has a domain of x ≥ 0.

Front

What is an example of a function with a limited range?

Back

An example is the function f(x) = x^2, which has a range of y ≥ 0.

Front

How can you visually identify the domain from a graph?

Back

You can visually identify the domain by looking at the horizontal extent of the graph and noting any breaks or restrictions.

Front

How can you visually identify the range from a graph?

Back

You can visually identify the range by looking at the vertical extent of the graph and noting any breaks or restrictions.