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Which of the following relations are functions? Give reasons. If it is a function, determine its domain and range.(i) $\{(2,1),(5,1),(8,1),(11,1),(14,1),(17,1)\}$(ii) $\{(2,1),(4,2),(6,3),(8,4),(10,5),(12,6),(14,7)\}$(iii) $\{(1,3),(1,5),(2,5)\}$.

Algebra

Chapter 2

Relations and Functions

Section 3

Relations

Functions

Campbell University

Idaho State University

Lectures

01:43

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x^2. The output of a function f corresponding to an input x is denoted by f(x).

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Identify the domain and ra…

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Determine whether each rel…

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in this kitchen human relation two comma one five coma one 8 to no one 11 coma won 14 cuomo one 17 common one. So we have a check given relation is a function to hear all the elements of domain two. Why a 11 14 and 17 of the given relation having their unique image hands. This relation is a function and domain Equal to 2:05 Koma eight, Coma 11 14, coma 17. And range equal to one. Now it's all. Our second relation is given two comma one full coma too, 63 eight comma four. Ben comma five, 12 to 16 and 14, coma seven. So here all the elements of domain two. Cool. See E. Then, well, 14 of the given relation having their unique images. Hands. This relation is a function. So now here it is over answered. Now we find the domain of this relation. So here we get to four six eight then 12 14. Range of relation equal to one, comma 2, comma three, Common for Common five, comma six and comma seven. So it is over final answer four part second. Now it's all part 3rd relation is Cuban one comma three, one comma five, two comma five. It seemed that the same first element that is one cross pond to the to different images that is three and fly. So here this relation cannot we call function so it is over. Find a long.

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