determine all intervals on which the graph of $f$ is decreasing.
determine all intervals on which the graph of $f$ is decreasing.
Answer
Explanation:
Step1: Recall decreasing - graph property
A function (y = f(x)) is decreasing on an interval if for any two points (x_1) and (x_2) in the interval with (x_1<x_2), we have (f(x_1)>f(x_2)). Visually, the graph of the function moves down - ward as we move from left to right.
Step2: Analyze the given graph
Looking at the graph of (y = f(x)), we observe the intervals where the graph is sloping down - ward. We see that the graph is decreasing on the intervals ((-6,-2)) and ((1,4)).
Answer:
((-6,-2)) and ((1,4))