Question

Is the relation {(3, 5), (–4, 5), (–5, 0), (1, 1), (4, 0)} a function? Explain. Type your answer below.

Answer 1

It's not a dichotomy. A function is a relation.

Answer 2

In this case, they just want you to make sure that you don't have two outputs for any one input.

Answer 3

so what would i put? why isnt it a function?

Answer 4

are there any points with the same x value but different y value?

Answer 5

no??

Answer 6

Do you know what a function is?

Answer 7

you are correct, each point has a different x value

so this means that this relation is actually a function

if you had something like (2,1) and (2,5), then it wouldn't be a function since the input x = 2 produces both outputs y = 1 and y = 5 at the same time

Answer 8

so it is a function?

Answer 9

yes

Answer 10

i dont understand how though?

Answer 11

because each x value produces exactly one y value

Answer 12

also, if you graph, the points don't violate the vertical line test

Answer 13

okay thank you so much Jim (:

Answer 14

yw