Unit 3 Absolute Value Function Mini Practice

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What is the definition of an absolute value function?

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An absolute value function is a function that contains an algebraic expression within absolute value symbols, which measures the distance of a number from zero on the number line, always resulting in a non-negative value.

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What is the general form of an absolute value function?

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'a' represents the vertical stretch or compression and the direction of the graph. If 'a' is positive, the graph opens upwards; if 'a' is negative, it opens downwards.

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The vertex of the function is the point (h, k) where the graph changes direction.

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Front

How do you find the x-intercepts of an absolute value function?

Back

To find the x-intercepts, set the function equal to zero and solve for x.

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The absolute value ensures that the output is always non-negative, reflecting the distance from zero.