Evaluating a piece wise defined function

Given : if x belongs to the interval -2 ≤ x < 2 then h(x) = -(x - 1)² + 1

As x = -2 belongs to the interval -2 ≤ x < 2

⇒ h(-2) = -(-2 - 1)² + 1 = -(-3)² + 1 = -9 + 1 = -8

As x = 1 belongs to the interval -2 ≤ x < 2

⇒ h(1) = -(1 - 1)² + 1 = 0 + 1 = 1

Given if x is greater than or equal to 2 then h(x) =

As x = 3 is greater than 2

⇒ h(3) =

what are the

answer: the proof is mentioned below.

step-by-step explanation:

since, given:   lines bc = ef

prove:   lines ac > ef

          statements                                           reason

1. bc=ef                                           1. given

2. ac= ab+bc                                 2. because b is the point between the  

                                                            line segment ac

3.   ac > bc                                       3. because if a line segment is equal to

                                                          the sum of two line segments then it is

                                                          always greater then each of these

                                                          individual line segments

4. ac > ef                                         4. by equality property.