Question

(1,-2),(2,1),(3,6),(4,13),(5,22) determine whether the relation is a function

Answer 1

To be a function — all the x’s must be different. So yes it is a function

Answer 2

The relation {(1,-2),(2,1),(3,6),(4,13),(5,22) } is a function

A relation is a function if every value of x has just one corresponding value of y.

Also, using the vertical line test, if a vertical line is drawn on a graph, for the graph to represent a function, the vertical line must not intersect the graph more than once.

For the relation {(1,-2),(2,1),(3,6),(4,13),(5,22) }

When x = 1, y = -2,  when x = 2, y = 1, when x = 3, y = 6, when x = 4, y = 13, when x = 5, y = 22

In the above relation, there is no value x that has more than one corresponding value of y, hence the given relation {(1,-2),(2,1),(3,6),(4,13),(5,22)} represents a function

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