The graph represents the piecewise function

Ok, so so we gots from x≤-1 and x≥1 for the bounds

hmm, the x≤-1 one

hmm, looks like the y intercept is -1 and the slope is 2/1
y=2x-1
test (-1,-3)
works
test (-2,-5)
works

yep

2x-1 is first blank

the other one

seems to have y intercept at 4 and slope of 1
y=1x+4
y=x+4
this works because I tested it

top left: 2x-1
top right: x≤-1 or x is less than or equal to -1
bottom left: x=4
bottom left: x≥1 or x is greater than or equal to 1

Y=-3x is the correct answer