Question

On a coordinate plane, an absolute value graph has a vertex at (10, 6).
The graph of h (x) = StartAbsoluteValue x minus 10 EndAbsoluteValue + 6 is shown. On which interval is this graph increasing?

(–∞, 6)
(–∞, 10)
(6, ∞)
(10, ∞)

Answer 1

(10, ∞)

Reason: For x > 10, h(x) = (x − 10) + 6 = x − 4 (slope +1), so the graph rises to the right of the vertex at (10, 6). For x < 10 the slope is −1, so it decreases there.