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What conditions guarantee a root in (a,b)(a,b)(a,b) using a sign-change argument?

A
  • fff is continuous on [a,b][a,b][a,b].
  • f(a)f(b)<0f(a)f(b)<0f(a)f(b)<0.
B

It may be a small non-zero value rounded to zero.

C

The graph crosses the xxx-axis and changes sign.

D

The sign-change result requires continuity on the entire interval [a,b][a,b][a,b].

Card 1 of 20

1.9.2 Failure of sign change methods (A-level only) Flashcards

  1. A Level
  2. /Maths
  3. /1.9.2 Failure of sign change methods (A-level only)

20 flashcards on OCR A Level Maths 1.9.2 Failure of sign change methods (A-level only): the key formulae, methods and definitions you need to recall for Paper 1, Paper 2 and Paper 3.

Flashcards