examday

Community mocks

Clavis TMUA Set A Paper 2 · Q8

Paper 2Logic & proofCalculus

In this question aa and bb are real numbers with a<ba<b, and

f(x)=(x−a)2(x−b).f(x)=(x-a)^2(x-b).

Which of the following statements must be true?

  • I ff has exactly two stationary points.
  • II f(x)<0f(x)<0 for all x<ax<a.
  • III f(x)≥0f(x)\geq0 for all x>ax>a.
Anone of them
BI only
CII only
DIII only
EI and II only
FI and III only
GII and III only
HI, II and III

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 →