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 4, negative 4) and goes up to an open circle at (negative 1, 2). The second line has a closed circle at (negative 1, 3), continues horizontally to (1, 3), and then goes down to a closed circle at (4, 0).
What is the value of h(3)?

–2
–1
1
2

Answer 1

1

The line from (1, 3) to (4, 0) has slope (0−3)/(4−1) = −1, so its equation is y = 4 − x. Thus h(3) = 4 − 3 = 1.