Graphs of functions

Topic practice · Paper 1 · Advanced

This free ExamAlly page is a TMUA graphs of functions practice question for students preparing for the TMUA (Test of Mathematics for University Admission). Use it to check your understanding of Graphs of functions, attempt every option under light time pressure, then read the full worked solution.

Independent practice material, not affiliated with official TMUA organisers.

Matching revision guide: Read the Graphs of functions TMUA revision guide

For $k > 0$ , consider the family of cubics $f_k(x) = x^3 - 3kx + 1$ .
Which statement is correct about when $f_k$ has exactly three distinct real roots?

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