11-8-24 Domain and Range of Continuous Graphs

Front

What is the definition of DOMAIN in the context 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 RANGE in the context 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 of a continuous graph?

Back

To determine the domain of a continuous graph, identify the x-values for which the graph exists without any breaks or gaps.

Front

What does it mean if the domain is expressed as '-1 ≤ x ≤ 4'?

Back

It means that the function is defined for all x-values from -1 to 4, inclusive.

Front

What does it mean if the range is expressed as '-2 ≤ y < 1'?

Back

It means that the function outputs values from -2 to just below 1, including -2 but not including 1.

Front

What is the domain of a function that is defined for all real numbers?

Back

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

Front

What is the significance of the notation 'x > -3' in terms of domain?

Back

It indicates that the function is defined for all x-values greater than -3, not including -3 itself.

Front

How can you visually identify the domain of a graph?

Back

You can visually identify the domain by looking at the horizontal extent of the graph on the x-axis.

Front

What is a common way to express the domain of a function?

Back

The domain can be expressed using interval notation, set notation, or inequalities.

Front

What is the relationship between the domain and range of a function?

Back

The domain refers to the input values, while the range refers to the output values; they are related through the function's rule.