Piecewise Functions

Front

What is a piecewise function?

Back

A piecewise function is a function that is defined by different expressions or formulas for different parts of its domain.

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How do you determine the domain of a piecewise function?

Back

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

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What is the range of a function?

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 find the range of a piecewise function?

Back

To find the range, evaluate each piece of the function over its domain and combine the results.

Front

What does f(2) represent in a function?

Back

f(2) represents the output of the function when the input is 2.

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How do you evaluate a piecewise function at a specific point?

Back

To evaluate a piecewise function at a specific point, determine which piece of the function applies to that input and use the corresponding formula.

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What is the difference between domain and range?

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The domain refers to the set of input values (x-values), while the range refers to the set of output values (y-values) of a function.

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What is the notation for a piecewise function?

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A piecewise function is typically written in the form: f(x) = { expression1 if condition1; expression2 if condition2; ... }.

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How do you graph a piecewise function?

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To graph a piecewise function, plot each piece according to its defined domain and connect the points appropriately.

Front

What is the significance of the conditions in a piecewise function?

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The conditions determine which expression to use for specific input values, defining the behavior of the function.