Chapter 2 - Representing relationships: functions

Question 1

Relation

Answer 1

Relationship between any set of ordered pairs

Question 2

Function

Answer 2

Special type of relation. A relation is a function if each input related to only one output. Or one value of the independent variable does not give more than one value of the dependent variable. A function can have a repeating x-value with different y-values.

Question 3

Functional notation

Answer 3

f(x), g(x), f:x—>

Question 4

Draw

Answer 4

Represent by means of a labelled, accurate diagram or graph, using a pencil. A ruler should be used for straight lines and diagrams should be drawn to scale. Graphs should be correctly plotted and joined in a straight line or smooth curve.

Question 5

Sketch

Answer 5

Should give a general idea of the required shape or relationship and should include relevant features.

Question 6

Domain

Answer 6

All possible values of the independent variable, or x.

Question 7

Range

Answer 7

All possible values of dependent variable, or y.

Question 8

Discrete data

Answer 8

Graphed as separate, distinct points

Question 9

Continuous data

Answer 9

Graphed as lines or curves

Question 10

Inequalities

Answer 10

Uses the crocodile mouths.

Question 11

Interval notation

Answer 11

][ or () - not all values included
[] - all values included

Question 12

Piecewise function

Answer 12

A function that has two or more equations for different intervals of the domain of the function

Question 13

Composite function

Answer 13

Thought as a series of operations or machines.

Question 14

Inverse function

Answer 14

Inverse of the function