which interval for the graphed function contains the local minimum?\no -1, 1\no 1, 2\no -3, -1\no -5, -3
which interval for the graphed function contains the local minimum?\no -1, 1\no 1, 2\no -3, -1\no -5, -3
Answer
Explanation:
Step1: Recall the definition of local minimum
A local minimum of a function is a point where the function changes from decreasing to increasing.
Step2: Analyze each interval
- For the interval $[-1,1]$: The function is decreasing on this interval.
- For the interval $[1,2]$: The function is not defined (no graph shown in this interval in a relevant way for the local - minimum consideration as per the graph).
- For the interval $[-3,-1]$: The function changes from decreasing to increasing.
- For the interval $[-5,-3]$: The function is increasing on this interval.
Answer:
$[-3,-1]$