Question

question completion status: *graph generated on https://www.desmos.com/calculator select all interval(s) for which f(x) only decreases. select all that apply. (-∞,-4) (8,∞) (-∞,-2.5) (1,8) nothing in this list is correct (6,∞) (-4,1)

Explanation:

Step1: Analyze the graph for decreasing intervals

A function $y = f(x)$ is decreasing when as $x$ increases, $y$ decreases. By observing the graph, we look for parts where the curve goes down - ward from left - to - right.

Step2: Check each interval

• For $(-\infty,-4)$: The function is increasing in this interval.
• For $(8,\infty)$: The function is increasing in this interval.
• For $(-\infty,-2.5)$: The function is increasing then decreasing in this interval.
• For $(1,8)$: The function is decreasing in this interval.
• For $(6,\infty)$: The function is increasing in this interval.
• For $(-4,1)$: The function is increasing in this interval.

Answer:

$(1,8)$