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Mathematics: Domain, Range, and Infinity

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Mathematics: Domain, Range, and Infinity

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Questions and Answers

What does the term 'Domain' refer to?

Describes a part of a number line with a starting number & stopping number

The occupied values of the x-axis (think left to right) (correct)

The occupied values of the y-axis (think top to bottom)

Every single number on a number line

What does the term 'Range' refer to?

Every single number on a number line

The idea that persists forever

The occupied values of the y-axis (think top to bottom) (correct)

The occupied values of the x-axis (think left to right)

What is Infinity?

The idea that persists forever.

What are All Real Numbers?

Every single number on a number line that anyone ever thought of, from left forever (negative infinity) to right forever (positive infinity). Signup and view all the answers

What is Interval Notation?

Describes a part of a number line with a starting number & stopping number. Signup and view all the answers

What is Inequality Notation?

Describes a part of a number line by saying 'numbers between alligator stuff'. Signup and view all the answers

Study Notes

Domain and Range Vocabulary

Domain: Represents all possible values of the x-axis; important to consider order.
Range: Represents all possible values of the y-axis; order is significant.

Concept of Infinity

Infinity: Represents a concept without end, extending forever in both directions.

All Real Numbers

All Real Numbers: Includes every possible number on the number line, spanning from negative infinity to positive infinity.

Interval Notation

Interval Notation: A method for describing sections of the number line using a starting and stopping point.

Inequality Notation

Inequality Notation: A way to express portions of the number line using inequalities, often visualized as “numbers between” symbols resembling alligators.

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Description

Test your understanding of key concepts such as domain, range, and infinity in mathematical contexts. This quiz covers interval notation and inequality notation, which are essential for expressing relationships on the number line. Perfect for students focusing on foundational mathematics.