Domain and Range from graphs

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 all 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 all 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 arrows on both ends?

Back

If a graph has arrows on both ends, it indicates that the domain is all real numbers, as the graph continues indefinitely in both directions.

Front

Back

The domain is all real numbers except x = 0, since the function is undefined at that point.

Front

Back

The range is all real numbers y such that y ≥ 0, since the output of the function is always non-negative.

Front

If a graph is limited to the x-values between -2 and 2, what is the domain?

Back

The domain is -2 ≤ x ≤ 2.

Front

If a graph is limited to the y-values between 0 and 4, what is the range?

Back

The range is 0 ≤ y ≤ 4.

Front

Back

The domain is all real numbers, since a constant function is defined for every x-value.