Let A = {1, 2, 3, 4, 5}, B = N and f: A → B be defined by f(x) = x2
. Find the range of f. Identify the type
of function
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2
Answer:
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.
Answered by
1
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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