2. Functions

Question 1

relation

Answer 1

relationship between any set of ordered pairs

Question 2

Function “f” from A to B assigns…

Answer 2

…exactly 1 element of set B to each element of A. f:A->B

Question 3

x=

Answer 3

original value (iv)

Question 4

y=

Answer 4

image of x (dv)

Question 5

set A is called ___ of f, set B is called ___ of f

Answer 5

domain, codomain

Question 6

a function can be represented by:

Answer 6

• a description
• a mapping diagram
• a table
• an algebraic rule
• a graph

Question 7

range

Answer 7

set of all possible values of images (a subset of codomain, can be whole codomain)

Question 7

types of functions

Answer 7

• one-to-one
• many-to-one
  (one-to-many not a function, also if one x does not have an image - not a function)

Question 8

graph of a function

Answer 8

a set of ordered pairs (x, f(x)) where x is in domain of the function
gamma (f)=[(x, f(x)): xED(f)]

Question 9

vertical line test

Answer 9

if each line parallel to the y-axis cuts the graph at most once (0 or 1 intersection points) then the graph represents a function

Question 10

domain

Answer 10

set of all possible values that x may have (x-axis)

Question 11

range

Answer 11

set of all possible values that y may have (y-axis)

Question 12

natural domain

Answer 12

the largest possible set of values that a function can take

Question 13

restricted domain

Answer 13

the subset of the natural domain of the function (has some conditions)