IB Maths AA HL Sl 2 4 Key Graph Features Questions

Practise analysing roots, extrema, ranges and parameter constraints in function graphs, combining intercepts, inequalities and domain restrictions to justify valid solutions.

Exam points

Identify intercepts, asymptotes, turning points, roots and symmetry from function graphs.
Use key graph features to solve equations, inequalities or parameter problems using complete evidence.

[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 $y=\frac{x\left(x^{2}-16\right)}{x^{2}+16}$ .

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

$\quad(-4,0),(0,0),(4,0)$

Note: Award A0 if additional points are given.

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IB Maths AA HL Sl 2 4 Key Graph Features Questions question 1