Question

Give an example of a relation that is NOT a function and explain why it is not a function.

Answer 1

ordered pairs or equation?

Answer 2

if it is just ordered pairs, pick some where the first numbers repeat

Answer 3

like say \(\{(1,2),(1,3),(2,2),(2,3)\}\)

Answer 4

if you need an equation, start with something with \(y^2\) like \(y^2=x+1\)

Answer 5

y² = x
--> y = ±√x

Because there are *two* square roots for any positive number (positive and negative) this will not be a function.