which interval for the graphed function has a local minimum of 0? -3,-2 -2,0 1,2 2,4

which interval for the graphed function has a local minimum of 0? -3,-2 -2,0 1,2 2,4

which interval for the graphed function has a local minimum of 0? -3,-2 -2,0 1,2 2,4

Answer

Explanation:

Step1: Understand local minimum

A local minimum is a point where the function value is less than or equal to the values at nearby points.

Step2: Check each interval

  • For $[-3,-2]$, the function values are above 0.
  • For $[-2,0]$, at $x = - 2.5$, the function has a value of 0 and it is the lowest - value in this interval.
  • For $[1,2]$, the function values are above 0.
  • For $[2,4]$, the function values are above 0.

Answer:

$[-2,0]$