Domain and Range Interval Notation

Front

What is the definition of 'Domain' in mathematics?

Back

The domain of a function is the complete set of possible values of the independent variable (usually x) for which the function is defined.

Front

What is the definition of 'Range' in mathematics?

Back

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

Front

How do you determine the domain of a function from its graph?

Back

The domain is found by identifying the x-values that the graph covers, typically read from left to right.

Front

What does the interval notation (a, b) represent?

Back

The interval (a, b) represents all real numbers x such that a < x < b, excluding the endpoints a and b.

Front

What does the interval notation [a, b] represent?

Back

The interval [a, b] represents all real numbers x such that a ≤ x ≤ b, including the endpoints a and b.

Front

What does the interval notation (a, b] represent?

Back

The interval (a, b] represents all real numbers x such that a < x ≤ b, excluding the endpoint a and including the endpoint b.

Front

What does the interval notation [a, b) represent?

Back

The interval [a, b) represents all real numbers x such that a ≤ x < b, including the endpoint a and excluding the endpoint b.

Front

Convert the inequality -7 ≤ x < 8 into interval notation.

Back

The interval notation is [-7, 8).

Front

Convert the inequality -2 < x ≤ 3 into interval notation.

Back

The interval notation is (-2, 3].

Front

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

Back

The domain is all real numbers except x = 2, which can be written in interval notation as (-∞, 2) ∪ (2, ∞).