Answer: b
Step-by-step explanation:
The given graph is the graph of a piecewise function. The equations of the lines are
Considering the First line on left, the equation is
y = - 2x + 1
The line extends towards the right and terminates at a point. The endpoint has an open circle. This means that the coordinates of that point are not inclusive. The x coordinate of the endpoint is 1, Thus, only all values of x less than 1 satisfy this function. The domain is
x < 1
Considering the second line on right, the equation is
y = - x + 2
The line extends towards the right from a point(x = 1). The start point has a closed circle. This means that the coordinates of that point are inclusive. Thus, only all values of x greater than or equal to than 1 satisfy this function. The domain is
x ≥ 1
The correct option is B