Interval Notation Review

Front

What is interval notation?

Back

A mathematical notation used to represent a range of values, typically expressed using parentheses and brackets.

Front

What do parentheses mean in interval notation?

Back

Parentheses indicate that the endpoint is not included in the interval (open interval).

Front

What do brackets mean in interval notation?

Back

Brackets indicate that the endpoint is included in the interval (closed interval).

Front

Why do we not use closed parentheses/brackets for positive and negative infinity?

Back

Infinity is an idea/concept and not an actual number, so it can't be included.

Front

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

Back

The domain is found by reading the ends of the graph from left to right.

Front

What is the domain of the function graphed if it spans from -5 to 3?

Back

-5 ≤ x ≤ 3.

Front

What does the inequality 6 > x represent on a number line?

Back

It represents all values less than 6.

Front

What does the inequality 2 ≤ x ≤ 4 represent?

Back

It represents all values between 2 and 4, including 2 and 4.

Front

How do you express the domain of a function that is defined for all real numbers?

Back

The domain can be expressed as (-∞, ∞).

Front

What is the difference between 'x > 2' and 'x ≥ 2'?

Back

'x > 2' means x is greater than 2 (not including 2), while 'x ≥ 2' means x is greater than or equal to 2 (including 2).