the graph of h(x)=|x - 10|+6 is shown. on which interval is this graph increasing? (-∞, 6) (-∞, 10) (6, ∞)…

Explanation:

Step1: Recall the property of absolute - value function

The general form of an absolute - value function is (y = a|x - h|+k). For the function (h(x)=|x - 10|+6), the vertex is at the point ((h,k)=(10,6)).

Step2: Analyze the increasing and decreasing intervals

For an absolute - value function (y = a|x - h|+k), when (a>0), the function is decreasing on the interval ((-\infty,h)) and increasing on the interval ((h,\infty)). In the function (h(x)=|x - 10|+6), (a = 1>0), (h = 10), (k = 6). So the function (h(x)) is increasing on the interval ((10,\infty)).

Answer:

D. ((10,\infty))