What is the absolute value function?

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What is the absolute value function?

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Answer 1 · 2017-03-24T16:14:44

$|x-h|=k$ means what numbers $x$ are $k$ away from $h$

Explanation:

Just as a function, $|x|$ is the value of $x$ without the sign, in other words the distance between $0$ and $x$ .

For example, $|5|=5$ and $|"-"5|=5$ .

In an equation, $|x-h|=k$ means what numbers $x$ are $k$ away from $h$ .

For example, solving $|x-3|=5$ for $x$ asks what numbers are 5 away from 3: intuitively the answers are 8 (3+5) and -2 (3-5). Plugging these numbers in for $x$ confirms their accuracy.

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What is the absolute value function?

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