Question

Need a little help proving my answer - Generate a function for the following data: x = -10, -8, -6, -4, -2, 0, 2, 4, 6, 8, 10. y = -5, -4, -3, -2, -1, 0, -1, -2, -3, -4, -5. - See comment for a better view, my answer is included.

Answer 1

\[x = -10, -8, -6, -4, -2, 0, 2, 4, 6, 8, 10\]\[y = -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5\]

My answer: \[f(x) = \frac{ -(\sqrt{x ^{2}}) }{ 2 }\]
Just wondering if anybody got the same answer as I.

Answer 2

Wonder why \(-\sqrt x^2\)?

Answer 3

but x/2?

Answer 4

please note that:
\[\sqrt{x ^{2}}=\pm x\]

Answer 5

I think, as I read from your data, that we can write:
\[x=2y\]

Answer 6

I need to make x a negative all the time so that y is always a negative.

Answer 7

oh, typo again

Answer 8

-10/2=-5 right?

Answer 9

y = are all negative

Answer 10

The blue question box has the right data.

Answer 11

How about \(y=\dfrac{-|x|}{2}\)?

Answer 12

Oh, nice idea there! Just waiting for Mich as a double check.

Answer 13

with your formula I'm not able to get positive y's @OOOPS

Answer 14

@Michele_Laino he edited his problem.!!

Answer 15

@OOOPS My bad

Answer 16

but doesn't |x| absolute? (-1)(|x|) doesn't make a negative?

Answer 17

Sorry, but from the text I see y=0, 1, 2, 3,... @OOOPS

Answer 18

@Michele_Laino He said: all y's are negative!!

Answer 19

ok!

Answer 20

sorry again! @OOOPS

Answer 21

@Sadworld |x| make the value of x positive and (-1) make value of y is negative.

Answer 22

So you're function is a possible answer to the problem? Mich, may you double check? I get the same answer as OOOPS