Unit 4 L 10-14 Review - Piecewise & Absolute Value Functions

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What is a piecewise function?

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

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Define absolute value function.

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

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To evaluate a piecewise function at a specific point, determine which interval the point falls into and use the corresponding expression for that interval.

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What is the graph of an absolute value function?

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The graph of an absolute value function is a V-shaped graph that opens upwards, with the vertex at the point where the expression inside the absolute value equals zero.

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What does it mean for a function to be positive?

Back

A function is positive when its output values are greater than zero for the given input values.

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Front

What is the average speed if a car travels 15 miles in 2 hours?

Back

Average speed = Total distance / Total time = 15 miles / 2 hours = 7.5 miles per hour.

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Back

The vertex is at the point (1, 2).