Question

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

Answer 1

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

`|x + 4| \: is \: always \: positive`

`solve \: x + 4 > 0`

`x > - 4`

`f(x) \: is \: incresing \: from \\`

]-4,∞[