WU 2.6C: Domain and Range Continuous

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 of a function from its graph?

Back

The domain can be determined by identifying the x-values for which the graph exists.

Front

What does it mean if the domain of a function is all real numbers?

Back

It means that the function can accept any real number as an input.

Front

What is the notation for expressing the domain of a function?

Back

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

Front

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

Back

The domain of f(x) = x^2 is all real numbers, or (-∞, ∞).

Front

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

Back

The domain of f(x) = 1/x is all real numbers except x = 0, or (-∞, 0) U (0, ∞).

Front

How do you express the domain of a function that is limited to a specific interval?

Back

You can express it using interval notation, such as [a, b] for a closed interval or (a, b) for an open interval.

Front

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

Back

The domain of f(x) = √(x - 2) is x ≥ 2, or [2, ∞).

Front

What is the significance of endpoints in the domain of a function?

Back

Endpoints indicate the limits of the domain; whether they are included or excluded affects the type of interval.