Domain and Range Interval Notation

Front

What is 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 does interval notation represent?

Back

Interval notation is a way of writing subsets of the real number line using intervals, indicating the start and end points.

Front

What does the notation \( (-\infty, 3] \) mean?

Back

This notation means that the domain includes all real numbers less than or equal to 3.

Front

What does the notation \( [3, \infty) \) mean?

Back

This notation means that the domain includes all real numbers greater than or equal to 3.

Front

What is 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 find the range from a graph?

Back

To find the range from a graph, read the y-values from the lowest point to the highest point.

Front

What does the notation \( (-\infty, -3] \) represent?

Back

This notation represents all real numbers less than or equal to -3.

Front

What does the notation \( (-\infty, \infty) \) indicate?

Back

This notation indicates that the domain includes all real numbers.

Front

In interval notation, how are open intervals represented?

Back

Open intervals are represented with parentheses, e.g., \( (a, b) \) means a < x < b.

Front

In interval notation, how are closed intervals represented?

Back

Closed intervals are represented with square brackets, e.g., \( [a, b] \) means a ≤ x ≤ b.