Question

Which equation does not define a function?

Answer 1

so do you have any clue or guess of which one it is? give it a try?

Answer 2

ok well the first one y^2 + x = 6 is a parabola

Answer 3

no clue i was hoping you would tell me the steps

Answer 4

so a would be a function right?

Answer 5

also y - x^2 = 4 is a parabola hence the x or y term is squared.

Answer 6

so it would be b?

Answer 7

or am i wrong?

Answer 8

or a im not sure

Answer 9

If you graph the first one, it shows a parabola opening to the right. It doesn't pass the vertical line test, so it's not a function.

Answer 10

is this correct?

Answer 11

ok you could use the vertical line test.
you know how?

Answer 12

yes

Answer 13

ok does this one pass the vertical line test?

Answer 14

yes

Answer 15

ok how about this one?

Answer 16

nope

Answer 17

x value must have a unique y value right?

Answer 18

so to pass the vertical line test, the vertical line will NOT cross the graph at more than one point.
does this occur in the graph above ?

Answer 19

how about this other graph? does it pass the vertical line test?

Answer 20

no it doesn't

Answer 21

but how would i graph this equation

Answer 22

also a funtion means that it passes the vertical test?

Answer 23

btw thanks for helping me study your a big help i was so confused but now i see how easy it is.

Answer 24

yes,
and in other words, a function is defined by the rule: for each value of x there is a single value for y.

Answer 25

can you just tell me this last thing how do i graph/enter this into a calculator

Answer 26

and this would be the other graph.

Answer 27

and no problem :)