✏️ 2.4.B Domain & Range Applications

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What is the definition of domain in a function?

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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 a function?

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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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What does it mean for a function to be continuous?

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A function is continuous if there are no breaks, jumps, or holes in its graph, meaning it can be drawn without lifting the pencil from the paper.

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What does it mean for a function to be discrete?

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A function is discrete if it consists of distinct or separate values, often represented as individual points on a graph.

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What is an example of a continuous function?

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An example of a continuous function is f(x) = 2x + 3, which can be graphed as a straight line without breaks.

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What is an example of a discrete function?

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An example of a discrete function is the number of students in a classroom, which can only take whole number values.

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How do you determine the reasonable domain for a function?

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The reasonable domain for a function is determined by the context of the problem, considering any restrictions on the independent variable.

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What is the domain of the function f(x) = 10x + 8 in the context of hours worked?

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The reasonable domain is 0 < x < 6, representing the number of hours Jack can work after school.

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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 result from substituting the domain values into the function.

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What is the domain and range for a linear function representing a workout?

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