Interval Notation

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What is interval notation?

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Interval notation is a mathematical notation used to represent a range of values on the number line. It uses parentheses and brackets to indicate whether endpoints are included or excluded.

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What does the interval notation (a, b) represent?

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The interval notation (a, b) represents all real numbers x such that a < x < b. Both endpoints a and b are excluded.

Tags

CCSS.6.EE.B.8

Front

What does the interval notation [a, b] represent?

Back

The interval notation [a, b] represents all real numbers x such that a ≤ x ≤ b. Both endpoints a and b are included.

Tags

CCSS.6.EE.B.8

Front

What does the interval notation (a, b] represent?

Back

The interval notation (a, b] represents all real numbers x such that a < x ≤ b. The endpoint a is excluded, while b is included.

Tags

CCSS.6.EE.B.8

Front

What does the interval notation [a, b) represent?

Back

The interval notation [a, b) represents all real numbers x such that a ≤ x < b. The endpoint a is included, while b is excluded.

Tags

CCSS.6.EE.B.8

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How is the interval notation for all real numbers expressed?

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The interval notation for all real numbers is expressed as (-∞, ∞).

Tags

CCSS.6.EE.B.8

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How do you express the solution to x < 8 in interval notation?

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The solution to x < 8 is expressed in interval notation as (-∞, 8).

Tags

CCSS.6.EE.B.8

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How do you express the solution to -8 ≤ x < 8 in interval notation?

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The solution to -8 ≤ x < 8 is expressed in interval notation as [-8, 8).

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What is the domain of a function?

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

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What is the range of a function?

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