Question

Give an example of a relation that is NOT a function and explain why it is not a function

Answer 1

so you are asking for an equation that is not a function?

Answer 2

yes

Answer 3

x^(2) + y^(2) = 1 is not a function because it does not pass the vertical line test, (use a search engine to figure out what the vertical line test is)

Answer 4

Here is the graph of the equation I just posted
https://www.wolframalpha.com/input/?i=x^%282%29+%2B+y^%282%29+%3D+1

vertical line test basically states that if a vertical line can pass through the line of a graphed equation more than once anywhere on the graph the equation is not a function

Answer 5

the equation x^(2) + y^(2) = 1
would therefore not pass

whereas the equation x + 1 = y would pass the vertical line test
https://www.wolframalpha.com/input/?i=+x+%2B+1+%3D+y

Answer 6

notice you an draw a vertical line anywhere on that graph and it will only pass the equations line once thus it is a function

Answer 7

if you can acquire multiple y values for a single x in an equation then the equation is not a function, in the equation, x^(2) + y^(2) = 1 you can acquire 2 y values for every one x value therefore it is not a function

Answer 8

hope that helps