which interval by the graphed function contains a local minimum? -5, -3, -1, 1, 1, 3, -3, -1
which interval by the graphed function contains a local minimum? -5, -3, -1, 1, 1, 3, -3, -1
Answer
Explanation:
Step1: Recall local - minimum definition
A local minimum of a function is a point where the function value is less than or equal to the values at nearby points.
Step2: Analyze the intervals
We need to check each interval to see if there is a local - minimum within it. For the interval ([-5,-3]): The function is increasing on this interval, so there is no local minimum. For the interval ([-1,1]): The function is decreasing then increasing, and there is a local minimum in this interval. For the interval ([1,3]): The function is decreasing on this interval, so there is no local minimum. For the interval ([3,5]): The function is increasing on this interval, so there is no local minimum.
Answer:
([-1,1])