Question

Plsss 40 points to whoever awnsers

Do the ordered pairs below represent a relation, a function, both a relation and a function, or neither a relation nor a function?

(-4,-3) , (3,-17) , (-4,-19) , (7,-25)
A. function only
B. relation only
C. neither a relation nor a function
D. both a relation and a function

Answer 1

B relation only

Explanation:

A function is a relation with only one output for each input, i.e. either many-to-one or one-to-one.

As we have two ordered pairs with x-values of -4 yet different y-values, this one-to-many, so this is not a function.

You can use "The Vertical Line Test" to test if a graph is a function. If you can draw a vertical line that crosses the graph in more than one place, then it is NOT a function.

If it was "neither a relation of a function", there would be a value(s) of x without value(s) of y, so as they are all ordered pairs, this is not the case.