How do you write #x=-|y+1|+4# as piecewise functions?

1 Answer

#f(y) = { (y> -1 ", " -x+3), (y<=-1 ", " x-5) :}#


Since the equation in rotated due to have x and y switched, we will use y values as the constraints.

Find the vertex through knowledge of function transformations#(4, -1)#.
Then, since the equation was rotated, find how far up and down the y-intercepts are:
#(0, 3)(0, -5)#

Finally, write the piecewise function using the vertex to find the constraints and the y-intercepts to find the function that each section of the original will become.