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Graphs and Behaviour

9 lessons · 24 questions · 7 PYQs

What the exams ask here

  • f(x)=a^2x^2+2bx+c has min/max?
  • y=a+b ln x -> which proportionality
  • smallest integer with max(f,g) = k
  • (x^3 - 5x^2 - 8x)/3: sign and monotonicity (Indore 2019 Q39)
  • max(a, 0): f(x - 3) + 2f(x + 1) = 8 (Indore 2021 SA Q9)
  • a^2x^2 + 2bx + c has a minimum and no maximum (Indore 2025 Q17)
  • min of x^2 + 2bx + 2c^2 > max of -x^2 - 2cx + b^2 (Rohtak 2019)
  • max(min(x, 2 - x), x - 4, 2x - 8) = pi - 3 (Indore 2026, memory-based)
  • maximum of min(x + 8, 6 - x)
  • intersections of y = |x - a| with a line

Lessons

  1. Start hereThe idea and the methodFirst lesson of Graphs and Behaviour
  2. 1.Quadratic extrema shape5 questions + fresh variantsIndore 2025
  3. 2.Monotonic cubic sign3 questions + fresh variantsIndore 2019
  4. 3.Transformation shifts3 questions + fresh variants
  5. 4.Proportionality from log form3 questions + fresh variantsIndore 2025
  6. 5.Max function integer solution4 questions + fresh variantsIndore 2021 SA
  7. 6.Graph of modulus2 questions
  8. 7.Min max of two lines2 questions + fresh variants
  9. 8.Intersections count2 questions + fresh variantsIndore 2026 (like)