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) =

i dont get it. where are the "descriptions"?

choice b is correct

step-by-step explanation:

we have been given the following system of inequalities;

we are required to graph the solution to the system of inequalities. using a graphing tool, the graph of the system is as shown in the attachment. the continuous line represents the graph of while the dotted line represents .