Mathematics
Grade-8
Easy

Question

How many increasing/decreasing intervals are there in this graph?

  1. 2 max, 2 min
  2. 3 max, 2 min
  3. 3 increasing intervals, 2 decreasing intervals
  4. 2 increasing intervals, 3 decreasing intervals

hintHint:

It is important to distinguish between increasing and decreasing interval  in graph. The increasing interval means equation having  the slope of the graph is always positive and decreasing interval  means the slope of the graph is negative.

The correct answer is: 3 increasing intervals, 2 decreasing intervals


    Firstly , to find the increasing and decreasing interval in graph we must look the how many increasing line are there and how many decreasing lines are there in graph.
    A function is increasing where the graph gets higher as it moves towards left to right the interval.
    And function is decreasing where graph gets lower as it moves towards left right over the interval.
    Here we must look the How many times the graph go towards higher and lower from left to right in intervals.
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    Therefore, the graph have 3 increasing interval and 2 decreasing interval .
    Option ( c ) is the correct answer.

    It very easy to find the increasing and decreasing interval in graph you just have to focus on the graph where its going upward or downward or you can also find increasing and decreasing by finding the slope of the line. If the slope is positive then line is increasing otherwise slope is negative then line is decreasing.

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