Question

Part 1: Create a relation of five ordered pairs that is a function. In complete sentences explain why this relation is a function.
Part 2: Create a relation of five ordered pairs that is not a function. In complete sentences explain why this relation is not a function.

Answer 1

@jim_thompson5910

Answer 2

part 1 just wants you to pick 5 points

Answer 3

ok

Answer 4

but...you cannot have 2 points stacked on top of each other (like (2,3) and (2,7))

Answer 5

ok so like (3,1)(6,3)(1,7)(4,11)(2,9)

Answer 6

yeah something like that

Answer 7

then you stick all 5 points in curly braces like this

{(3,1), (6,3), (1,7), (4,11), (2,9)}

Answer 8

that's a relation that is a function

Answer 9

so it is a function because..

Answer 10

it has no numbers repeating?

Answer 11

because inputting each x value produces EXACTLY ONE y value

if you had (2,3) and (2,7), then you wouldn't know which y value to pick when you input x = 2

Answer 12

if x = 2, then is y = 3? or is y = 7? we just don't know, so that would force it to not be a function

Answer 13

im kinda confused here

Answer 14

think of a temperature conversion function

Answer 15

if you have 0 degrees celsius and you plugged it into a function that converts it to fahrenheit, you would get 32 degrees F

but what if you plugged in 0 and you got more than one output, which one do you pick?

Answer 16

the one with one output

Answer 17

but if you got more than one output, which output do you pick?

Answer 18

i dont no

Answer 19

the answer is: you just don't know

that's why a function must produce EXACTLY ONE output

Answer 20

one number goes in -----> one number comes out

that's what a function is

Answer 21

im so confused im sry

Answer 22

you cannot say this

one number goes in ----> 2 numbers come out

Answer 23

and have it be a function, it's just not possible

Answer 24

make sense?