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Maths C3 Edexcel > Functions > Flashcards

Flashcards in Functions Deck (9)
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1

Mapping

Transforms one set of numbers into a different set of numbers

2

Function

A special mapping such that every element of the domain is mapped to exactly one element of the range

3

Changing the domain

The domain of a mapping can be changed to make it a function. For example, the square root of x is only a function if the domain is restricted to x is greater than or equal to 0.

4

One-to-one function

1 value in domain mapped to 1 value in range

5

Many-to-one function

Multiple values in the domain mapped to 1 value in the range

6

One-to-many

Not a function -- one value in the domain is mapped to multiple values in the range.

7

Composite function

fg(x) means apply g first then f. Same is writing f(g(x))

8

Inverse function

Performs the opposite operation to the function. Maps elements in the range back into elements of the domain. The graph of the inverse is a reflection in the line y = x

9

Range

The range of a function is the domain of the inverse function.