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If x=αx=\alphax=α is a root of f(x)=0f(x)=0f(x)=0, what must be true?

A

If fff is continuous on [a,b][a,b][a,b] and f(a)f(b)<0\boxed{f(a)f(b)<0}f(a)f(b)<0​, then f(x)=0f(x)=0f(x)=0 has at least one root in a<x<ba<x<ba<x<b.

B

The curve may touch the xxx-axis and turn around.

C

The curve is above the xxx-axis.

D

f(α)=0f(\alpha)=0f(α)=0.

Card 1 of 20

3.7.1 Numerical methods (A-level only) Flashcards

  1. A Level
  2. /Maths
  3. /3.7.1 Numerical methods (A-level only)

20 flashcards on CCEA A Level Maths 3.7.1 Numerical methods (A-level only): the key formulae, methods and definitions you need to recall for AS 1, AS 2, A2 1 and A2 2.

Flashcards