IB Maths AA HL Ahl 2 15 Hl Inequalities Between Functions Questions

Practise comparing functions through intersections, sign or graph analysis and parameter conditions to solve inequalities and solution-count problems.

Exam points

Solve inequalities comparing two functions using algebraic and graphical methods.
Interpret intervals, intersections and parameter conditions using complete mark-scheme evidence.

[Maximum number: 3]

Let $f(x)=x^{4}+0.2 x^{3}-5.8 x^{2}-x+4, x \in \mathbb{R}$ .

Find the solutions of f(x)>0.

valid method eg, sketch of curve or critical values found

\begin{array}{ll} x<-2.24, x>2.24, & \boldsymbol{A 1} \\ -1<x<0.8 & \boldsymbol{A 1} \end{array}

Note: Award M1A1A0 for correct intervals but with inclusive inequalities.

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IB Maths AA HL Ahl 2 15 Hl Inequalities Between Functions Questions question 1