relationship between function?

Question

With regard to the relationship between x and y defined by the equation

14 |y| = 5x-14

i would like to find out or know if
x is not a function of y, (I would say yes)
for some y there are two distinct values of x ( I would say no)
for some x there are two distinct values of y ( I would say no)
y is a function of x (I would say yes)
x is a function of y (i would say yes)
and if y is not a function of x (No)
.
thanks for any help received.

i have given my thoughts in brackets could someone correct me if wrong?

so what i have got so far is

for some x there are two distinct values of y

x is not a function of y

y is not a function of x ?

Answer 1

For a given value of x maximum 2 distinct values of y may exist. But for a given value of y only one value of x exists. So x is a function of y but y is not a function of x.

Answer 2

You said "yes" to both "x is a function of y" and "x is not a function of y". So obviously you made a mistake there.

Beyond that:

For each y, there is exactly one x. In fact, you can write the formula for x as a function of y. So x is a function of y.

On the other hand, for almost all x, there are two possible y. (The only exception is x = 14/5, y = 0). So y is not a function of x.