Question

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

h(x) = |x − 10| + 6 has a V-shaped graph with vertex at x = 10. It decreases for x < 10 and increases for x > 10.

So the graph is increasing on (10, ∞).