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

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.