# C3 maths summary part 1

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- Created by: Sophie kendall
- Created on: 23-01-14 19:33

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- C3 summary
- Algebraic fractions
- Can be simplified by cancelling down
- Must be fully factorised first

- to add and subtract find the lowest possible denomanator
- if the numerator is bigger then the denominator then use the long devision method

- Can be simplified by cancelling down
- Functions
- Two types of function
- many to one
- one to many

- range=y
- domain= x
- when combining functions do the inside first
- to find the inverse function swap the y and x and rearange
- the previous range is now the domain and vice versa
- the graph is reflected in the line y=x

- Two types of function
- Exponentials and log
- exponentials
- y=a^x
- always passes through (0,1)

- y=a^x
- log
- inverse
- exponentials
- y=a^x
- always passes through (0,1)

- y=a^x

- exponentials
- y=ln(x)
- passes through (1,0)

- inverse
- to solve you must use the fact that they are inverse

- exponentials
- Numerical methods
- if an interval has a sign change then there is a root
- iteration formulas can be used to solve

- Algebraic fractions

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