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यदि f : R → R और (x) = x2 + 2x – 1 हो, तो फलन का प्रकार बताइए ।

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यहाँ f : R → R दिया है इसलिए प्रदेश समूच्य A = {…-3, -2, -1, 0, 1, 2, 3} रखने पर

f(-3) = (-3)2 + 2 (-3) -1
= 9 – 6 – 1
= 2

f(-2) = (-2)2 + 2(-2) -1
= 4 – 4 – 1
= -1

f(-1) = (-1)2 + 2(-1) – 1
= 1 – 2 – 1
= -2

f(0) = (0)2 + 2(0) – 1
= -1

f(1) = (1)2 + 2(1) – 1
= 1 + 2 – 1
= 2

f(2) = (2)2 + 2(2) – 1
= 4 + 4 – 1
= 7

f(3) = (3)2 + 2 (3) – 1
= 9 + 6 – 1
= 14

(-3, 1), (-2, 0) का विस्तार 2 और (-1) प्राप्त होता है इसलिए अनेक-एक फलन है ।

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