Question

Find a piecewise definition of f that does not involve the absolute value function
f(x)=|x+10|

Answer 1

i know it is x+10 and -x+10

Answer 2

\[ |x+10| = \left\{\begin{array}{rcc}
x + 10 & \text{if} & x \geq -10 \\
- x - 10& \text{if} & x < -10
\end{array}
\right.
\]
would be one way

Answer 3

it is not \(-x+10\) but rather \(-(x+10)=-x-10\) in the case where
\(x+10<0\)