11-8-24 Domain and Range of Continuous Graphs

Front

What is the definition of DOMAIN in the context of continuous graphs?

Back

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

Front

How do you determine the DOMAIN of a continuous graph?

Back

To determine the DOMAIN, identify the x-values for which the graph exists without any breaks, holes, or asymptotes.

Front

What is the definition of RANGE in the context of continuous graphs?

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 determine the RANGE of a continuous graph?

Back

To determine the RANGE, identify the y-values that the graph reaches as x varies over its DOMAIN.

Front

What does the notation '-1 ≤ x ≤ 4' indicate about the DOMAIN?

Back

It indicates that the DOMAIN includes all x-values from -1 to 4, inclusive.

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What does the notation '0 ≤ x < 3' indicate about the DOMAIN?

Back

It indicates that the DOMAIN includes all x-values from 0 to 3, including 0 but not including 3.

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What does the notation '-2 ≤ y ≤ 3' indicate about the RANGE?

Back

It indicates that the RANGE includes all y-values from -2 to 3, inclusive.

Front

What does the notation 'y ≤ 4' indicate about the RANGE?

Back

It indicates that the RANGE includes all y-values that are less than or equal to 4.

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What does the phrase 'All Real Numbers' indicate about the RANGE?

Back

It indicates that the RANGE includes every possible real number, with no restrictions.

Front

What is the significance of identifying the DOMAIN and RANGE of a function?

Back

Identifying the DOMAIN and RANGE helps in understanding the behavior of the function and its limitations.