The piecewise function h(x) is shown on the graph. On a coordinate plane, a piecewise function has 2 lines. The first line has a closed circle at (negative 3, negative 7) and goes up to an open circle at (1, 1). The second line has a closed circle at (1, negative 1) and goes down to an open circle at (2, negative 3). What is the value of x when h(x) = −3? −7 −1 0 2

Answer:Option B.Step-by-step explanation:It is given that h(x) is a piecewise function and it has 2 lines. The first line has a closed circle at (-3, -7) and goes up to an open circle at (1, 1).The second line has a closed circle at (1,-1) and goes down to an open circle at (2,-3). The graph of piecewise function h(x) is shown below.Since we have an open circle at (2,-3), it means x=2 is not included in the function.From the given graph it is clear that at x=-1 the value of function is -3.It means h(x)=-3 at x=-1.Therefore, the correct option is B.