Lesson 1.02m

1.02m Curve sketching Quiz: OCR Maths, Unit 2

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson 1.02m, Curve sketching: 20 multiple choice questions for the OCR Maths (H240), Unit 2: Algebra and Functions, written with Revision Ninja.

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The 20 questions

  1. How does a polynomial graph behave at a root of multiplicity two?

    • Stops at x-axis
    • Crosses x-axis
    • Vertical asymptote
    • Touches x-axis

  2. Where does y = x(x - 2)(x + 3) cross the x-axis?

    • x = 3, 0, -2
    • x = 0 and x = 2 only
    • x = -3, 0, 2
    • x = -3 and x = 2 only

  3. What is the y-intercept of y = (x + 1)^2 (x - 4)?

    • 4
    • -1
    • 1
    • -4

  4. What are the asymptotes of y = 3/x?

    • x = 0 and y = 0
    • x = 3 only
    • x = 0 and y = 3
    • x = 3 and y = 0

  5. What are the asymptotes of y = 2/(x - 1) + 3?

    • x = 3 and y = 1
    • x = 1 and y = -3
    • x = -1 and y = 3
    • x = 1 and y = 3

  6. What is the vertex of y = x^2 - 6x + 5?

    • (3, -4)
    • (3, 4)
    • (6, 5)
    • (-3, 4)

  7. Which stationary point is a local maximum of y = (x - 2)^2 (x + 1)?

    • (0, 4)
    • (0, 0)
    • (-1, 0)
    • (2, 0)

  8. As x tends to positive infinity, what does y = -x^3 tend to?

    • Negative infinity
    • Zero
    • Minus one
    • Positive infinity

  9. How many x-intercepts does y = x^4 - 1 have?

    • 2
    • 0
    • 4
    • 1

  10. How many distinct x-intercepts does y = x^2 (x - 1)^2 have?

    • 4
    • 1
    • 2
    • 3

  11. Which statement is true for y = 1/x^2 for all x not equal to 0?

    • y takes the value 0
    • y < 0
    • y > 0
    • y = x

  12. What are the x-intercepts of y = (x^2 - 4)/(x - 1)?

    • x = 2 only
    • x = -2 and x = 1
    • x = 1 only
    • x = 2 and x = -2

  13. What is the y-intercept of y = |x^2 - 4|?

    • 2
    • 4
    • 0
    • -4

  14. What is the local maximum value of y = x^3 - 3x?

    • -2
    • 1
    • -1
    • 2

  15. What is the x-intercept of y = 2/(x + 1) - 3?

    • 1/3
    • -2/3
    • -1/3
    • -1

  16. What is the maximum number of turning points of a quartic polynomial?

    • 1
    • 3
    • 4
    • 2

  17. For f(x) = (x + 1)(x - 2)(x - 5), for which x is f(x) > 0?

    • x < -1 or x > 5
    • x < -1 or 2 < x < 5
    • -1 < x < 5
    • -1 < x < 2 or x > 5

  18. Which line is an oblique asymptote of y = x + 4/x?

    • y = 4
    • y = x + 4
    • y = x
    • x = 4

  19. What is the minimum value of y = |x - 1| + |x + 1|?

    • 0
    • 1
    • 2
    • 4

  20. How many points of intersection do y = x^2 and y = 2/x have?

    • 3
    • 2
    • 1
    • 0

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