identify the interval where the function is decreasing.\n5 < x < 12\n6 < x < 12\n1 < x < 6\n1 < x < 5
identify the interval where the function is decreasing.\n5 < x < 12\n6 < x < 12\n1 < x < 6\n1 < x < 5
Answer
Answer:
B. (6 < x < 12)
Explanation:
Step1: Understand function increasing/decreasing
A function is decreasing when, as (x) increases, (y) decreases.
Step2: Analyze the graph
Looking at the graph, from (x = 6) to (x = 12), as (x) values increase, the (y) - values of the function decrease. For (1 < x < 6), the function is increasing (as (x) increases, (y) increases). For (5 < x < 12), the interval (5 < x < 6) has the function increasing. For (1 < x < 5), the function is increasing. Only for (6 < x < 12) does the function show a decreasing trend (as (x) moves from (6) to (12), (y) values go down).