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question la fonction f(x) le graphique ci - dessous représente la valeu…

Question

question
la fonction f(x) le graphique ci - dessous représente la valeur relative. combien de points sur ce graphique représentent une valeur extrême ?

Explanation:

Step1: Identify relative extrema

A relative (local) extremum is a point where the function changes from increasing to decreasing (local maximum) or decreasing to increasing (local minimum).

  • Point b: Local maximum (function changes from increasing to decreasing)
  • Point c: Local minimum (function changes from decreasing to increasing)
  • Point e: Local maximum (function changes from increasing to decreasing)
  • Point g: Local minimum (function changes from decreasing to increasing)

Points a, d, f, h are intercepts where the function does not change direction in a way that creates an extremum.

Step2: Count the extrema

Count the identified local extrema: b, c, e, g.

Answer:

4