determine all intervals on which the graph of (f) is decreasing on the closed interval (-9,9).
determine all intervals on which the graph of (f) is decreasing on the closed interval (-9,9).
Answer
Explanation:
Step1: Recall decreasing - function property
A function (y = f(x)) is decreasing when the slope of the tangent line is negative or when, as (x) increases, (y) decreases.
Step2: Analyze the graph
By observing the graph of (y = f(x)) on the interval ([-9,9]), we look for parts where the curve is going down - hill. We can see that the function (f(x)) is decreasing on the intervals ([-9,-3]) and ([5,9]).
Answer:
([-9,-3]) and ([5,9])