Question

what is the piecewise form of f(x)=|3x+3|

Answer 1

To find this, we simply take the absolute value sign away which leaves

f(x) = 3x+3 or f(x) = -3x-3 (the same way we solve absolute value equations)
We can also find a root at x=-1 because in either of the functions we ended up with, if x=-1, then f(x) =0
Which yields


Because this is an absolute value type deal, the equal to can be placed with the greater than sign, the less than sign, or a whole different function f(x)=0 at x=-1