Functions and Relations

Question 1

A relation is a rule that relates a set of values (called the _________) to the second set of values
(called the _________).

Answer 1

Relation
- domain
- range

Question 2

A _____________ is a relation where each element in the domain is related to only one value in
the range by some rule.

Answer 2

Function

Question 3

A ___________ is a set of ordered pairs
(x, y).

Answer 3

Relation

Question 4

A _____________ is a set of ordered pairs (x, y) such that no two ordered pairs have the same x value but different y values.

Answer 4

Function

Question 5

The elements of the domain can be imagined as _______ to a machine that applies a rule to these inputs to generate ________________.

Answer 5

• Input
• One or more outputs

Question 6

The elements of the domain can be imagined as ___________ to a machine that applies a rule to these inputs to generate ___________.

Answer 6

• Input
• Only one output

Question 7

All functions are _________ but not all relations are ____________.

Answer 7

• Relations
• Functions

Question 8

___________ means replacing the variable in the function with a value from the functions domain and computing for the result. If a function f(x) is to be evaluated for x=a, then we will write it as f(a)

Answer 8

Evaluation of functions

Question 9

The process of obtaining a composite function is called __________

Answer 9

Function Composition