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The graph of y = f(x) is given. The number of distinct zeroes of y = f(x) is: - Mathematics

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प्रश्न

The graph of y = f(x) is given. The number of distinct zeroes of y = f(x) is:

विकल्प

  • 0

  • 1

  • 2

  • 3

MCQ
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उत्तर

3

Explanation:

Step 1: Understanding the Concept:

The zeroes of a polynomial function f(x) correspond to the points where the graph intersects the x-axis.

Step 2: Detailed Explanation:

By observing the provided graph, we look for the points where the curve crosses or touches the horizontal axis (x-axis).

The curve intersects the x-axis at:

  1. One point on the negative x-axis side. 
  2. Two distinct points on the positive x-axis side. 

Counting these intersection points, we get a total of 3 distinct points.

Step 3: Final Answer:

The number of distinct zeroes is 3. 

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