the graph of $h(x)=|x - 10|+6$ is shown. on which interval is this graph increasing?\n$(-\\infty…

the graph of $h(x)=|x - 10|+6$ is shown. on which interval is this graph increasing?\n$(-\\infty, 6)$\n$(-\\infty, 10)$\n$(6, \\infty)$\n$(10, \\infty)$

the graph of $h(x)=|x - 10|+6$ is shown. on which interval is this graph increasing?\n$(-\\infty, 6)$\n$(-\\infty, 10)$\n$(6, \\infty)$\n$(10, \\infty)$

Answer

Explanation:

Step1: Identify vertex of absolute value function

The vertex of $h(x)=|x-10|+6$ is at $(10, 6)$.

Step2: Determine increasing interval

For $|x - a| + b$, the function increases when $x > a$. Here, $a=10$, so the interval is $x > 10$, or $(10, \infty)$.

Answer:

D. $(10, \infty)$