Functions

Question 1

Mapping

Answer 1

Transforms one set of numbers into a different set of numbers

Question 2

Function

Answer 2

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

Question 3

Changing the domain

Answer 3

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.

Question 4

One-to-one function

Answer 4

1 value in domain mapped to 1 value in range

Question 5

Many-to-one function

Answer 5

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

Question 6

One-to-many

Answer 6

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

Question 7

Composite function

Answer 7

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

Question 8

Inverse function

Answer 8

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

Question 9

Range

Answer 9

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