Question

Determine whether the relation is a function. Give the domain and the range for the relation: {(4,4),(6,5),(9,9)}{(4,4),(6,5),(9,9)}. Is this a function?

a) Yes, Domain: {4,6,9}{4,6,9}, Range: {4,5,9}{4,5,9}
b) Yes, Domain: {4,6,9}{4,6,9}, Range: {4,5}{4,5}
c) No
d) Yes, Domain: {4,6}{4,6}, Range: {4,5,9}{4,5,9}

Answer 1

The given relation is a function because each domain value is uniquely associated with one range value. The correct option is (a) with Domain: {4,6,9} and Range: {4,5,9}.

Step-by-step explanation:

To determine whether a given relation is a function, we must ensure that each input (or domain value) maps to exactly one output (or range value). A function can have many inputs mapped to the same output, but each input can only be paired with one output.

The given relation is {(4,4),(6,5),(9,9)}. In this relation, the inputs are 4, 6, and 9, and the corresponding outputs are 4, 5, and 9. Since each input has a unique output and no input value is repeated, this relation is indeed a function.

Therefore, the answer is: a) Yes, Domain: {4,6,9}, Range: {4,5,9}