CA2 Function Domain and Range

Front

What is the definition of the domain of a function?

Back

The domain of a function is the complete set of possible values of the independent variable (x) 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 complete set of possible values of the dependent variable (y) that result from using the function.

Front

How do you determine the domain from a graph?

Back

The domain can be determined by identifying the x-values that the graph covers.

Front

How do you determine the range from a graph?

Back

The range can be determined by identifying the y-values that the graph covers.

Front

What is a function?

Back

A function is a relation in which each input (x) is associated with exactly one output (y).

Front

What is a relation that is not a function?

Back

A relation is not a function if at least one input (x) is associated with more than one output (y).

Front

What is the domain of the function f(x) = √(x-3)?

Back

The domain is x ≥ 3.

Front

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

Back

The range is y ≥ 0.

Front

What is the domain of the function f(x) = 1/(x-2)?

Back

The domain is x ∈ (-∞, 2) ∪ (2, ∞).

Front

What is the range of the function f(x) = 1/(x-2)?

Back

The range is y ∈ (-∞, 0) ∪ (0, ∞).