Interval Notation

Front

What is interval notation?

Back

A mathematical notation used to represent a range of values, typically expressed using parentheses and brackets to indicate whether endpoints are included or excluded.

Front

What does the interval (a, b) represent?

Back

The set of all real numbers x such that a < x < b, excluding the endpoints a and b.

Front

What does the interval [a, b] represent?

Back

The set of all real numbers x such that a ≤ x ≤ b, including the endpoints a and b.

Front

What does the interval (a, b] represent?

Back

The set of all real numbers x such that a < x ≤ b, excluding the endpoint a but including the endpoint b.

Front

What does the interval [a, b) represent?

Back

The set of all real numbers x such that a ≤ x < b, including the endpoint a but excluding the endpoint b.

Front

What does the union symbol (U) mean in interval notation?

Back

It indicates that two or more intervals are combined to form a single set of values.

Front

How would you express the set of all real numbers?

Back

Using interval notation, it is expressed as (-∞, ∞).

Front

What is the domain of a function?

Back

The set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The set of all possible output values (y-values) that a function can produce.

Front

How do you determine if a graph represents a function?

Back

Use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.