Understanding Functions

Front

What does it mean to define a function?

Back

To define a function means to specify its name, parameters, and the relationship between the input and output.

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What does it mean to evaluate a function?

Back

To evaluate a function means to calculate the output for a given input based on the function's definition.

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What does it mean to compare functions?

Back

To compare functions means to analyze their properties, such as their outputs, rates of change, or graphs, to determine similarities or differences.

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What does it mean to graph a function?

Back

To graph a function means to plot its input-output pairs on a coordinate plane, showing the relationship visually.

Front

What does it mean to find the domain of a function?

Back

To find the domain of a function means to determine the set of all possible input values for which the function is defined.

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What does it mean to find the range of a function?

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To find the range of a function means to determine the set of all possible output values the function can produce.

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What does it mean to transform a function?

Back

To transform a function means to apply operations that alter its graph, such as translations, reflections, stretches, or compressions.

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What does it mean to find the inverse of a function?

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To find the inverse of a function means to determine a new function that reverses the original function's input-output relationship.

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What does it mean to compose functions?

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To compose functions means to apply one function to the results of another, creating a new function that combines their operations.

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What does it mean to differentiate a function?

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To differentiate a function means to calculate its derivative, which represents the rate of change of the function's output with respect to its input.