Question

Write y=4|x+5| as a piecewise function.

Answer 1

y = 4 |x + 5|

So,

y = 4(x + 5) \: if \: x >  - 5 \\ y =  - 4(x + 5)if \: x <  - 5

This is because, modulus takes only the positive version of the term inside it. So as if x is smaller than -5 then it will constitute a negative value and to make it positive we need to multiply it with -1.

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Step-by-step explanation: