Question

Is the information below defines a function? If it does state the domain of the function.
Input: 0, 1, 2, 3, 4
Output: 1, 2, 3, 2, 1

PLZ HELP

Answer 1

Answer:

Yes! It is.

Step-by-step explanation:

For a function, the set of input valuesis called its domain and set of output values is called its range.

Domain = {0, 1, 2, 3, 4}

Range = {1, 2, 3, 2, 1}

since there are 5 values in both sets and some values have been repeated within the set of range, I belive we can find the Cartesian product of this function.

Let's the relation be f(x)

f(x) = { (0, 1), (1, 2), (2, 3), (3, 2), (4, 1) }

For a relation to be a function, each input must have only one output.

In relation f(x) :-

• 0 ---> 1

•1 ---> 2

• 2 ---> 3

• 3 ---> 2

• 4 ---> 1

Each input has only one output, ( not more than 1) therefore

f(x) is a given function.

[ In the attachment there's an example that'll help you learn better. ]

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Hope this helps!