An interval must contain a root of the equation f(x)=0 if...

the two bounds of the interval are 0.

the difference between the bounds is 1.

To solve an equation of the form f(x)=0 by an iterative method...

rearrange f(x)=0 into a form x=g(x).

do the inverse of the function.

rearrange f(x)=0 into a form x=f^-1(x).

rearrange f(x)=0 into a form g(x)=f(x)^-1

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1An interval must contain a root of the equation f(x)=0 if...
1. Athere is a sign change.
2. Bthe two bounds of the interval are 0.
3. Cthe difference between the bounds is 1.
4. Dthe signs are the same.
2To solve an equation of the form f(x)=0 by an iterative method...
1. Arearrange f(x)=0 into a form x=g(x).
2. Bdo the inverse of the function.
3. Crearrange f(x)=0 into a form x=f^-1(x).
4. Drearrange f(x)=0 into a form g(x)=f(x)^-1
3Different rearrangements of the equation f(x)=0 will always lead to the same root.
1. AVerdadero
2. BFalso

Descripción: A Levels (Core 3) Maths Test sobre C3 Chapter 4, creado por Shanie Dickens el 31/08/2014.
Autor: Shanie Dickens
Idioma: English
Visitas: 40
Etiquetas: maths core 3 a levels
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