Question

Response Question: Part A: What could be the value of B that would make the relation {(B,1) (2,3) (4,5)} a function? Explain how you know. Part B: Using the same ordered pairs, what could be the value of B that would create a relation only? Explain how you know. Please include vocabulary terms: input, output, relation, function Part A:The value of B that would make the relation E(B.1) (2,3) (4,5)) a function R. Restate the Question • Turn the question into a statement Part B:Using the same ordered pairs, The value of B that would create a relation only Part A: I must find B such that the given relation is a function.I can draw the following diagram.The tion f will he a function if B is different from 2

Answer 1

The given relation is:

{ (B,1) (2,3) (4,5) }

The domain, X = {B, 2, 4}

The range, Y = {1, 3, 5}

The domain is a set of all the input values

The range is a set of all the output values

Note that:

A relation is a function if every value of the domain (X) is attached to only one value of the range (Y)

A) For the relation to be a function, B can be any value except 2 and 4,

B = All real numbers except 2 and 4

B) The values of B that could create a relation only are 2, 4

This is because, for B = 2, 4, a value of X will be matched with more than one value of Y

A diagram showing the function is shown below:

The above is a function because every value of X is attached to just one value of Y. And for this to happen, B must not be equal to 2 or 4

For the relation not to be a function, B must either be 2 or 4

For example, if B = 2, the diagram for the relation is shown below:

The above is just a relation and not a function because when B = 2, an element of the set X is matched to more than one element in Y (1 and 3)