Math Problem Statement

Вкажіть проміжки зростання функції (Identify the intervals where the function is increasing).

Solution

The task in the image is to identify the intervals of the function where it is increasing ("вкажіть проміжки зростання функції").

From the graph, we can see the behavior of the function:

  • The function is decreasing from x=5x = -5 to around x=2x = -2, reaching a local minimum at x=2x = -2.
  • Then the function starts increasing from x=2x = -2 until x=1x = 1, reaching a local maximum at x=1x = 1.
  • After this maximum,

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Math Problem Analysis

Mathematical Concepts

Functions
Intervals of Increase and Decrease
Graph Analysis

Formulas

-

Theorems

Increasing/Decreasing Function Theorem

Suitable Grade Level

Grades 9-12