Question 11 (SPM 2017 – 3 marks):Diagram 5 shows the graph of the function f : x → |1 – 2x| for the domain –2 ≤ x ≤ 4.Diagram 5 State(a) the object of 7,(b) the image of 3,(c) the domain of 0 ≤ f(x) ≤ 5.Solution:(a)The object of 7 is 4.(b)f (x) = |1 … Read more

Question 1:Diagram below shows the relation between set M and set N in the graph form.State(a) the range of the relation,(b) the type of the relation between set M and set N.Solution: (a) Range of the relation = {p, r, s}.(b) Type of the relation between set M and set N is many to one relation. … Read more

Composite Function If function f : X ↦ Y , and function g : Y ↦ Z , hence, composite function g f : X ↦ Z Example: If, f : x ↦ 2 x + 5 and g : x ↦ x 2 − 1 , find g f ( 2 ) Answer: f … Read more

Example 1 Given the function f : x → 6 x + 1 . Find the value of p if f ( 4 ) = 4 p + 5 .Answer: f : x → 6 x + 1 f ( x ) = 6 x + 1 f ( 4 ) = 6 ( 4 … Read more

(B) Domain, Range, Objects and Images of a Function Example: The arrow diagram above represents the function f : x → 2×2 – 5. State (a) the domain, (b) the range, (c) the image of –2, (d) the objects of (i) –3, (ii) –5.   Solution: (a) Domain = {–2, –1, 0, 1, 2}. (b) … Read more

As shown in figure above, for a function f : X → Y , each element x in the domain X has a unique image y in the codomain Y.  The function can be written as: y = f ( x ) o r f : x ↦ f ( x ) For y = … Read more

A function is a relation in which every element in the domain has a unique image (exactly one) in the codomain. One-to-one relation and many-to-one relation are examples of a special kind of relation which we call function.

Relation can be classified into 4 types: One-to-one relation Many-to-one relation One-to-many relation Many-to-many relation

Domain and Codomain In the relation between one set and another, the first set is known as the domain and the second set is known as the codomain. Elements in the domain is called objects, whereas elements in the codomain mapped to the objects is called the image. Elements in the codomain not mapped to … Read more

A relation connects elements in set A (domain) to elements in set B (codomain) according to the definition of the relation. Relation can be represented in 3 forms: Ordered pair Arrow diagram Graph Recommended Videos Relations and Functions