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IB Maths AA HL 2.4 Key graph features and parameter constraints Question Bank

Practise IB Maths AA HL 2.4 by analysing roots, extrema and parameter constraints in function graphs.

Syllabus
First assessment 2021
Course
Mathematics: analysis and approaches HL
Level
HL

Exam points

  • Determine roots or extrema and use them to establish a range or parameter condition.
  • Combine graph features with inequalities and domain restrictions to select valid solutions.
  • Evaluate a parameterised graph and justify all intercept, range or threshold conclusions.

SL 2.4—Key graph features question 1

[Maximum number: 1]

The following question explores features of a family of curves. The family is then linked to a homogeneous differential equation.
Consider the curve given by y=x(x2−16)x2+16y=\frac{x\left(x^{2}-16\right)}{x^{2}+16}.

State the coordinates of the points where the curve crosses the x-axis.

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