Q1. [1] § 2.2 Geometrical Meaning of the Zeroes of a Polynomial § 2.4 Summary
The graph of $y = f(x)$ is given. The number of zeroes of $f(x)$ is :
- (a) 0
- (b) 1
- (c) 2
- (d) 4
Previously asked in CBSE board exam
2026 30/1/1 Q4
Generated by claude-sonnet-4-6 · 2026-06-15 10:35 · grounding rag
Model Answer
(b) 1
The number of zeroes of f(x) is 1, as the graph touches (or crosses) the x-axis at exactly one point.
Explanation
The zeroes of a polynomial are the x-coordinates of points where its graph intersects the x-axis. The described W-shaped curve touches the x-axis at only one point (tangentially), giving exactly 1 zero. Examiner looks for correct identification of intersection/touch points with the x-axis.
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