Write a piecewise definition of $|x-4|$. Hence evaluate $|x-4|$ when $x=-2$. A student claims

Question

Write a piecewise definition of $|x-4|$. Hence evaluate $|x-4|$ when $x=-2$. A student claims that $|x-4|=|x|-4$ for all $x$. Use $x=-2$ to test the claim.

Accepted Answer

(a)$4-x$ for $x<4$, $x-4$ for $x\geq4$; (b) $6$; (c) False: $6\neq-2$.

Modulus Function

Modulus Function

Solution:

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