Answer:
hello :
Step-by-step explanation:
f(x)=|x²-x-2|
f(x) = x²-x-2 if : x²-x-2 ≥ 0
f(x) = - (x²-x-2) if : x²-x-2 ≤ 0
x²-x-2 = ( x+1)(x-2)
sign of : x²-x-2 is :
x²-x-2 ≥ 0 : x≤ -1 or x ≥ 2
x²-x-2 ≤ 0 : -1 ≤ x ≤ 2