Front

What is a piecewise function?

Back

A piecewise function is a function that is defined by different expressions or formulas for different intervals 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 union of the domains of each piece, considering the intervals where each piece is defined.

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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 of a piecewise function, evaluate each piece over its interval and determine the minimum and maximum output values.

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What does f(-3) represent in a function?

Back

f(-3) represents the output value of the function when the input is -3.

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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, identify which interval the input falls into and use the corresponding expression to find the output.

Front

What is the significance of the notation f(x)?

Back

f(x) denotes a function named 'f' evaluated at the input 'x', representing the output value.

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How do you calculate the value of an expression involving function evaluations, such as 4f(-1) - f(6) - 2f(-6)?

Back

To calculate the value, evaluate each function at the specified inputs, multiply as indicated, and then perform the arithmetic operations.

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What is the formula for calculating earnings based on a piecewise rate?

Back

The earnings can be calculated by applying the piecewise rates to the number of hours worked in each interval and summing the results.

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How do you determine the total earnings for a given number of hours worked using a piecewise function?

Back

To determine total earnings, calculate the earnings for each segment of hours worked according to the piecewise rates and sum them.