Question

Show that the function f: N → N defined by f (m) = 2 + m + 3 is one-one

function.​

Answer 1

Answer:

N = {1,2,3, 4,5, … }

f(m) = m2 + m + 3

f(1) = 12 + 1 + 3 = 5

f(2) = 22 + 2 + 3 = 9

f(3) = 32 + 3 + 3 = 15

f(4) = 42 + 4 + 3 = 23

f = {(1,5) (2, 9) (3, 15) (4, 23)}

From the diagram we can understand different elements in (N) in the domain, there are different images in (N) co-domain.

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∴ The function is a one-one function.

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