which interval contains a local minimum for the graphed function?\n-4, -2.5\n-2, -1\n1, 2\n2.5…

which interval contains a local minimum for the graphed function?\n-4, -2.5\n-2, -1\n1, 2\n2.5, 4\n(-2.5,0)\n(1.7,0.7)\n(3.44,0)\n(-0.44,-4.3)\n(3,-4)

which interval contains a local minimum for the graphed function?\n-4, -2.5\n-2, -1\n1, 2\n2.5, 4\n(-2.5,0)\n(1.7,0.7)\n(3.44,0)\n(-0.44,-4.3)\n(3,-4)

Answer

Answer:

[2.5, 4]

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: Analyze intervals

  • In [-4, -2.5], the function is decreasing but no local - min in this interval.
  • In [-2, -1], the function is increasing.
  • In [1, 2], the function is decreasing then increasing but the local min is not in this interval.
  • In [2.5, 4], the function has a local minimum at the point (3, - 4) which lies in this interval.