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03-07-2022
Mathematics

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Find the interval in which the function f(x) = |x + 4| is increasing.

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subtomex0 subtomex0

03-07-2022

[tex]f { }^{ - } (x) = \frac{2(x + 4)}{2 |x + 4| {}^{} } = \frac{x + 4}{ |x + 4| } [/tex]

[tex] |x + 4| \: is \: always \: positive[/tex]

[tex]solve \: x + 4 > 0[/tex]

[tex]x > - 4[/tex]

[tex]f(x) \: is \: incresing \: from \\[/tex]

]-4,∞[

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