Question

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 1

-1

Reason: The top segment has equation h(x)=2x−1, so 2x−1=−3 gives x=−1 (−3 ≤ x < 1 includes −1). The other segment gives x=2 but x=2 is an open endpoint, so not allowed.