Question

can someone pleaseee explain these type of problems to me?
When is “y” a Function of “x”?
10.Textbook Section 3.2 Exercise # 28
Answer Choices:
A. In the given equation, y is a function of x.
B. In the given equation, y is not a function of x.
2x-9=6y+2

Answer 1

lets get the equation in terms of y.

\[y = \frac{ 2x-11 }{ 6 }\]

Now if y is a function of x then there would only be one value of y for any given value of x...

Does this equation work?

Answer 2

so the answer would be yes?

Answer 3

because there is only one problem for y?

Answer 4

if you plug in a number like 1 or 0 for x...

does y come out to be just one answer of can y be multiple answers?

Answer 5

let me see

Answer 6

when I solve the problem my answer is -9/6
but I can break that down to 3/2

does that make it two answers?

Answer 7

no its still one answer because that is 3/2 is just a simplified form of 9/6... which makes it one answer

Answer 8

so your answer is A... ill brb

Answer 9

ohhh okay - and I treat every problem like this? For example: how would I solve this one?

Answer 10

2y2 − 3x2 = 8x

Answer 11

its 2y^2
and 3x^2

Answer 12

\[y = \sqrt{\frac{ 8x+3x ^{2} }{ 2 }}\]

Answer 13

if you look at the graph of this equation it looks like an absolute value function and has only one x value for each y value.