Question

If f = {(1,4),(2,-2),(3,-1)} , then the range of f^2-1 is

Answer 1

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12th

Maths

Relations and Functions

Types of Functions

Let A = { 1, 2, 3, 4, 5 }, ...

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Asked on December 26, 2019 by

Adwitiyaa Reddi

Let A = { 1, 2, 3, 4, 5 }, B = N and f:A→B be defined byf(x)=x

2

.

Find the range of f. Identify the type of function.

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ANSWER

f(1)=1

2

=1

f(2)=2

2

=4

f(3)=3

2

=9

f(4)=4

2

=16

f(5)=5

2

=25

Hence, the range of the function is {1,4,9,16,25}

Since the elements in co-domain does not equal to the elemets in range ⇒f is not onto.

Image is not same for two domain elements in f, hence it is one-one.

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