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 graph?

Back

To determine the domain, identify all the x-values that the graph covers, considering any restrictions such as vertical asymptotes or holes.

Front

How do you determine the range of a graph?

Back

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

Front

What is the domain of the function f(x) = x^2?

Back

All real numbers.

Front

What is the range of the function f(x) = x^2?

Back

y ≥ 0.

Front

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

Back

All real numbers except x = 0.

Front

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

Back

All real numbers except y = 0.

Front

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

Back

It means that there are certain x-values that are not included in the function, often due to undefined values.

Front

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

Back

It means that there are certain y-values that the function cannot produce, often due to the nature of the function.