Question

Determine whether each equation defines y as a function of x

1) |y|=4-x

2) -x+y^2=5

3) xy=8

4) x+y^3=9

Answer 1

Isolate for y and see if you get unique answers.

Answer 2

So basically see if x has more than one value for y, if it does, than it's not a function of y.

Answer 3

so the first on we will have two answers because of the absolute value right

Answer 4

one*

Answer 5

y = 4-x
y = x - 4

Answer 6

Yes

Answer 7

alright the second one would be like that right y^2=x+5 right

Answer 8

is that gonna be the only answer or should i simplify more

Answer 9

That will give you two solutions as well

Answer 10

is it because of the power

Answer 11

You have to simplify till you can isolate y on its own.

Answer 12

so the third one is one solution because it would be like that y=8-x

Answer 13

It's 8/x but yes, one solution :)

Answer 14

oh right y=8/x

Answer 15

and how a bout that one x+y^3=9

Answer 16

Cube root :d

Answer 17

so its going to be more than one solution

Answer 18

I'd say so, but I hope you understand the question and what you have to do :)

Answer 19

sure yah! but am just making sure about what i have just answered

Answer 20

thank you so much for helping

Answer 21

Np, take care :)