Algebra-1

To determine which values of x and y will make the set {(1,9),(x,4),(6,y),(z,5)} represent a function, we need to ensure that each x value maps to exactly one y value.

Let's evaluate each option:

A. x=1,y=1,z=3: Set becomes {(1,9),(1,4),(6,1),(3,5)}.

x=1 maps to y=9 and y=4. This is not a function because x=1 maps to multiple y values.

B. x=6,y=9,z=10: Set becomes {(1,9),(6,4),(6,9),(10,5)}.

x=6 maps to y=4 and y =9. This is not a function because x=6 maps t...