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The graph of y = f(x) is… (Class 10 Maths Basic 2023, Q7)

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MathsCBSE Class 10 · Basic · Board exam 2023, set 430/6/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Basic 2023: question 7

Set in the CBSE Class 10 board exam of 2023, paper 430/6/1, section A, question 7, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q7 · 1 mark · MCQCompetency-basedPolynomials

The graph of is shown in the figure for some polynomial .

The number of zeroes of is

  1. (A)0
  2. (B)2
  3. (C)3
  4. (D)4

Figure in the paper: Coordinate axes x'Ox and y'Oy with the curve y = f(x) drawn. The curve starts in the upper left above the x-axis, dips below the x-axis, rises to a peak above the x-axis, dips again below the x-axis, and then rises back up ending above the x-axis on the right. It crosses the x-axis at no point shown as a clear intersection. See it in the official paper.

Source: official question paper from cbse.gov.in (PDF). See it in the full 2023 board paper, set 430/6/1.

Hints

Open one hint at a time and try again before the next.

Hint 1

Zeroes are the points where the graph cuts or touches the x-axis.

Hint 2

Check whether the curve ever reaches the x-axis.

Step-by-step solution

Each step shows the marks it earns, as an examiner would award them. Checked by an independent re-solve from the question paper.

  1. The zeroes of are the x-coordinates of the points where the graph meets the x-axis.

  2. The whole curve lies above the x-axis and never meets it, so there are 0 zeroes, option (A).

    1 mark

Answer: 0, option (A)

Where the marks are

  • Notes the graph does not meet the x-axis, so the number of zeroes is 0 (1 mark)

Revise the chapter

  • Chapter: Polynomials (notes, formulas, where marks are lost and every past question)
Practise this chapterBoard-style questions from Polynomials, one at a time, marked against the answer key and marking points.Back to the full paper2023 board paper, set 430/6/1 (Basic): every question, by section.

The question is transcribed from the official paper; figures are described in words. The solution, hints and chapter tag are ours. Spotted an error? Write tosupport@questionbuddy.in.