Mathematics
Grade-8
Easy

Question

Identify the statement that best describes the increasing and decreasing of the graph.

  1. Decreasing and then increasing
  2. Increasing and then decreasing
  3. Increasing Only
  4. Decreasing Only

hintHint:

The increasing interval  in graph where line goes on upward on graph from left to right and slope of line is positive . The decreasing interval in graph where line goes towards downward on graph from left to right and slope is negative.

The correct answer is: Increasing and then decreasing


    Here we need to find out that what is this graph is following increasing, decreasing , increasing then decreasing or decreasing then increasing.
    Firstly, in order of find out we given by four points (-5,0),(-2,9),(0,5),(1,0)
    Now we find the slope at each point if slope m value is negative then graph is decreasing or slope value is positive then graph value is positive.
    graph
    At first point (-5,0) the slope of point is positive then the graph at this is increasing.
    At second point (-2,9) the slope at this point is zero so the graph is constant at this point.
    At third point (0,5) the slope at this point is negative so graph is now decreasing at this point.
    At fourth point (1,0) the slope at this point is negative so graph is now decreasing at this point.
    Hence,
    The graph at start from left to right in that way , first the graph is increasing and later the graph is decreasing.
    Therefore, The graph is increasing and then decreasing
    So , the correct is answer is option (b).

    You can apply same kind of method to find the intervals of the graph or function given in graph is increasing or decreasing at a point.

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