which interval contains a local minimum for the graphed function?\n-4, -2.5\n-2, -1\n1, 2\n2.5, 4
which interval contains a local minimum for the graphed function?\n-4, -2.5\n-2, -1\n1, 2\n2.5, 4
Answer
Explanation:
Step1: Recall local - minimum definition
A local minimum is a point where the function changes from decreasing to increasing.
Step2: Analyze each interval
- For the interval $[-4,-2.5]$, the function is decreasing.
- For the interval $[-2,-1]$, the function is increasing. But there is no local - minimum in this interval.
- For the interval $[1,2]$, the function is decreasing.
- For the interval $[2.5,4]$, the function has a local minimum near $x = 3$ where the function changes from decreasing to increasing.
Answer:
$[2.5,4]$