Question

What are 2 ways you can determine if a relation is a function?

so far I have..
graphing the relation and drawing a vertical line through it.

whats another way ? Please help.. What are 2 ways you can determine if a relation is a function?

so far I have..
graphing the relation and drawing a vertical line through it.

whats another way ? Please help.. @Mathematics

Answer 1

you can solve for a unique y

Answer 2

explain?

Answer 3

for every x value, the function can only return 1 y value

Answer 4

so that is another way you can determine if the relation is a function?

Answer 5

yes, it is the same principle behind the vertical line test, but it doesn't require you to draw a graph to determine if the relation is a function.

Answer 6

thank you!

Answer 7

you are welcome :)

Answer 8

Graph the relation. and draw vertical (real, or imaginary) lines through it. If any line passes through more than one point, it is not a function.

If you want to do it algebraically, plug one function 1 into the x of function 2 and simplify, and then plug function 2 into the x of function 2 and simplify. If both simplify to x, it is a function.