Sketch the graph of an even function satisfying all of the conditions below:
domain: [-5, -1) u (1,5]
vertical asymptotes: x = -2, x = 2
f(x) < 0 on (2, 3) u{5}
f(x) > or = to 0 on (1, 2] u [3,5)
f(-2) = 1
f(4) = 3
limf(x) = 1 (as x approaches 5-)
lim f(x) = 2 (as x approaches 4)
lim f(x) = 0 (as x approaches 1+)