Domain and Range from a Graph

Front

What is the definition of the domain of 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 the range of 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 from a graph?

Back

To determine the domain from a graph, identify the x-values for which the graph has points. Look for any restrictions such as vertical asymptotes or holes.

Front

How do you determine the range from a graph?

Back

To determine the range from a graph, identify the y-values that the graph reaches. Look for any horizontal asymptotes or gaps in the y-values.

Front

What is the domain of the function represented by the graph that starts at (0,0) and goes to the right indefinitely?

Back

The domain is x ≥ 0.

Front

What is the range of the function represented by the graph that starts at (1,1) and goes up indefinitely?

Back

The range is y ≥ 1.

Front

What does the notation [a, b] signify in terms of domain and range?

Back

The notation [a, b] signifies that both endpoints a and b are included in the set.

Front

What does the notation (a, b) signify in terms of domain and range?

Back

The notation (a, b) signifies that both endpoints a and b are excluded from the set.

Front

What is the domain of the function represented by the graph that is defined for all real numbers?

Back

The domain is all real numbers, denoted as (-∞, ∞).

Front

What is the range of the function represented by the graph that is defined for y-values between -8 and 2, inclusive?

Back

The range is -8 ≤ y ≤ 2.