examday

tmua.me papers

tmua.me Extreme Set A Paper 1 · Q20

Paper 1Algebra

For each real number kk, let E(k)E(k) be the greatest value of

∣x3−kx∣|x^3-kx|

for −1≤x≤1-1\leq x\leq1.

What is the least possible value of E(k)E(k)?

A00
B14\dfrac14
C13\dfrac13
D233\dfrac{2}{3\sqrt3}
E12\dfrac12
F34\dfrac34

Read the questions freely. Sign in to check your answer, see the worked solution and save your progress.

Sign in to check your answerPractise the whole paper →