identifying intervals on which a function is decreasing\nwhich intervals show f(x) decreasing? check all…

identifying intervals on which a function is decreasing\nwhich intervals show f(x) decreasing? check all that apply.\n-2.5,-2\n-2,-1.5\n-1,1\n1.5,2\n2,2.5\n(2.5,3

identifying intervals on which a function is decreasing\nwhich intervals show f(x) decreasing? check all that apply.\n-2.5,-2\n-2,-1.5\n-1,1\n1.5,2\n2,2.5\n(2.5,3

Answer

Answer:

  • [-2.5,-2]
  • [1.5,2]

Explanation:

Step1: Recall decreasing - function definition

A function (y = f(x)) is decreasing on an interval if for any two points (x_1) and (x_2) in the interval with (x_1<x_2), we have (f(x_1)>f(x_2)).

Step2: Analyze the graph

By observing the graph of the function (y = f(x)), we can see that as (x) increases from - 2.5 to - 2, the (y) - values of the function are getting smaller. Also, as (x) increases from 1.5 to 2, the (y) - values of the function are getting smaller. For the other given intervals, the function is either increasing or has a different behavior.