Question

the function f has a domain of {1,3,5,7} and a range of {2,4,6}. could f be represented by {(1,2),(3,4),(5,6),(7,2)}? justify your answer.

Answer 1

Yes, f could be represented by this relation. This is because for a relation to be a function, every x value should have one and only one y value; when you plot the points, the graph must pass the vertical line test, which states that for a graph to be a function, a vertical line can only pass through the graph once in any part of the graph.
Hope this helps!