Domain and Range

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

What does the notation (-∞, ∞) represent?

Back

It represents all real numbers, indicating that the domain or range extends infinitely in both directions.

Front

What does the notation [a, b] signify?

Back

It signifies a closed interval, meaning that both endpoints a and b are included in the set.

Front

What does the notation (a, b) signify?

Back

It signifies an open interval, meaning that neither endpoint a nor b is included in the set.

Front

What does the notation [a, b) signify?

Back

It signifies a half-open interval, meaning that endpoint a is included while endpoint b is not.

Front

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

Back

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

Front

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

Back

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

Front

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

Back

The domain is [2, ∞) because the expression under the square root must be non-negative.

Front

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

Back

The range is [0, ∞) because the output of x^2 is always non-negative.