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What is onto function explain with suitable explanation |
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Answer» Answer: A function f: A-> B is called an onto function if the range of f is B. In other words, if each b EB there exists at least one a E A such that.i f(a)= b, then f is an on-to function. An onto function is also called surjective function. Examples on onto function EXAMPLE 1: Let A= {1, 2, 3), B= {4, 5} and let f= {(1, 4), (2, 5), (3, 5)). Show that f is an suriective function from A into B. SOLUTION: Domain = {1, 2, 3} =A Range = {4, 5) The element from A, 2 and 3 has same range Sof: A-> B is an onto function. |
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