Question

How would the function f(x)=|x^2-x-2|

Answer 1

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