Question

Please check

Answer 1

@freckles

Answer 2

do you know the vertical line test?
picture your graph covered in vertical lines
if any single vertical line contains more than one point it is not a function

Answer 3

because that is assigning more than one y value to an x

Answer 4

so tell me of the following graphs of the relations given whether you think they are function or not

Answer 5

Sorry i had to eat lunch. i think A, C, and maybe B are functions.

Answer 6

why do you think B?

Answer 7

let's look at example for B
what y value(s) is assigned to x=3?

Answer 8

just approximate

Answer 9

idk B was a guess. im not sure what kind of graph B is

Answer 10

B is a parabola

you should see the approximations are to two different numbers
meaning that there is more than one y value assigned to x=3

Answer 11

(3,.4) and (3,3.75)
there are just approximations like I said
but .4 and 3.75 are clearly approximations for two different numbers

Answer 12

but in any case you should have seen the vertical line x=3 get hit by the parabola more than once

Answer 13

x=3 is not a special case
it is just one case that shows this particular parabola is not a function

Answer 14

I say it isn't a special case because there are infinitely many x values where more than one y value is assigned

Answer 15

another example would to be to look at x=2

Answer 16

or at x=2.5
and so on...