Question

unit test
unit test complete
11 12 13 14 15 16 17 18 19 20
the graph of ( h(x) = |x - 10| + 6 ) is shown. on which interval is this graph increasing?
( (-infty, 6) )
( (-infty, 10) )
( (6, infty) )
( (10, infty) )
mark this and return
save and exit next submit

Explanation:

Step1: Identify vertex of absolute value function

The function is $h(x) = |x - 10| + 6$, which has the form $|x - a| + b$. The vertex is at $(a, b) = (10, 6)$.

Step2: Determine increasing interval

For $|x - a|$, the graph decreases left of $a$ and increases right of $a$. So $h(x)$ increases when $x > 10$, i.e., interval $(10, ∞)$.

Answer:

D. (10, ∞)