2.7.2 D&R & FACTORING 11-20-24

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What is the definition of Domain in mathematics?

Back

The domain of a function is the complete set of possible values of the independent variable (usually x) for which the function is defined.

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What is the definition of Range in mathematics?

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The range of a function is the complete set of possible values of the dependent variable (usually y) that result from using the function.

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

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The domain can be determined by identifying the x-values that the graph covers. If the graph extends infinitely to the left and right, the domain is all real numbers.

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

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The range can be determined by identifying the y-values that the graph covers. If the graph extends infinitely upwards and downwards, the range is all real numbers.

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Back

It means that the function is defined for all real numbers.

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Back

It means that the function can take any value greater than -5, but not including -5.

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What is the difference between open and closed intervals?

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An open interval (e.g., (a, b)) does not include its endpoints, while a closed interval (e.g., [a, b]) includes its endpoints.

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How do you express the domain of a function that is defined for x values between -3 and 3, not including -3?

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It indicates that the minimum value of the function is 3, and the function can take any value greater than or equal to 3.

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What is the significance of vertical asymptotes in relation to the domain of a function?

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Vertical asymptotes indicate values of x that are not included in the domain of the function, as the function approaches infinity at these points.