Lesson B7

B7 Graphs of functions and curve sketching Quiz: AQA Maths, Unit 2

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson B7, Graphs of functions and curve sketching: 20 multiple choice questions for the AQA Maths (7357), Unit 2: Algebra and functions, written with Revision Ninja.

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The 20 questions

  1. What are the asymptotes of y = 1/x?

    • x = 1 and y = 1
    • x = 0 and y = 0
    • y = x
    • x = 0 only

  2. What geometric feature does the graph of y = |x| have at the origin?

    • Vertical asymptote
    • Smooth minimum
    • V-shaped vertex
    • Point of inflection

  3. At which point does the graph of y = x³ - 4x intersect the y-axis?

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

  4. Which values of x are the x-intercepts of y = x^3 - 4x?

    • x = -4, 0, 4
    • x = -2, 0, 2
    • x = 0 only
    • x = -2, 2

  5. Where is the local maximum of y = x^3 - 3x?

    • (1, -2)
    • (1, 2)
    • (-1, 2)
    • (-1, -2)

  6. How many distinct real solutions does x^3 - 3x = 2 have?

    • One
    • Two (x = -1 and x = 2)
    • Three
    • Four

  7. Solve |x - 2| = 3x + 2.

    • x = 0 or x = -2
    • x = 0 only
    • x = 2 only
    • x = -2 only

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

    • x = 2 and y = -3
    • x = 3 and y = 2
    • x = 2 and y = 3
    • x = -2 and y = 3

  9. y is inversely proportional to x, and y = 6 when x = 2. What is y when x = 4?

    • 3
    • 12
    • 6
    • 1.5

  10. What happens to y = 2/x in the first quadrant as x increases?

    • Decreases towards zero
    • Remains constant
    • Increases towards zero
    • Increases towards infinity

  11. How many points do y = x^2 and y = 2x + 3 have in common?

    • Zero
    • Three
    • One
    • Two

  12. At which point does y = (x - 1)(x + 2)^2 cross the y-axis?

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

  13. What does it mean for a function f to be symmetric about the y-axis?

    • f(0) = 1 for all x
    • f(x) = x for all x
    • f(-x) = f(x) for all x
    • f(-x) = -f(x) for all x

  14. If y = kx^2 and y = 18 when x = 3, what is y when x = 5?

    • 30
    • 10
    • 50
    • 25

  15. Find the intersection points of y = x^2 - 2 and y = 2x + 1.

    • (3, 7) and (1, 3)
    • (3, 7) only
    • (3, 7) and (-1, -1)
    • (1, 3) and (-1, -1)

  16. What is the minimum value of y = |x^2 - 4|?

    • -4
    • 4
    • 0
    • -2

  17. How many solutions does |x| = x^2 - 2 have?

    • Three
    • Two
    • One
    • Zero

  18. Which is the local maximum point of y = x^3 - 6x^2 + 9x?

    • (3, 4)
    • (1, 0)
    • (1, 4)
    • (3, 0)

  19. Which phrase best describes the graph of y = kx for a non-zero constant k?

    • Vertical line
    • Line through origin
    • Parabola through origin
    • Horizontal line

  20. How many times does y = |2x - 1| meet the line y = 3?

    • One
    • Two
    • Zero
    • Infinitely many

All AQA Maths quizzes