Question

Is the relation shown in the arrow diagram a function? explain

Input 1 3 4 3
Output 1 9 16 27
A.yes each input has only one output
B. yes each output has only one input
c.yes each output is the square of the input
D. no the input 3 has 2 outputs

Answer 1

Something can be described as a function if there is only 1 of each number in the input or x.
For example: (9,6) and (9,3) would not be a function because there are two 9’s as the input.

So, for this problem there are two 3’s meaning this is NOT function because there are two outputs for the same number.


Your answer is going to be D.

Answer 2

The given relation is not a function because input value 3 has 2 outputs.

What is Function?

In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.

Given:

Input 1 3 4 3

Output 1 9 16 27

A relation is a function when the inputs are distinct and have corresponding output.

So, the given relation is not a function because input value 3 has 2 outputs.

Learn more about function here: