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Algebra
CHAPTER 1 FUNCTIONS
1.1 Functions
• Function is a one-to-one relation or a many-to-one relation such that one object has only one
image.
Functions representation
Arrow diagram Graph Ordered pair
• Functions may be discrete functions or continuous functions.
• Vertical line test is used to determine whether a relation is a function or not.
• Function notation: Alphabets such as f, g or h can be used to
represent a function that maps set A to set B. REMEMBER
For example, f : A ˜ B
f : x ˜ f(x) • Set A is a domain whereas
Let f(x) = 3x + 1 set B is a codomain.
Therefore, f(4) = 3(4) + 1 • x is an object whereas f(x) is
an image.
= 13 • Set of all images is known
• Absolute value function can be written as f : x ˜ |ax + b|. The as range.
shape of the graph is .
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Ch 1_Grab Me SPM AddMaths F4.indd 1 13/05/2022 8:56 AM

