SOLUTION: is xy-5y=1 a function such that there is one value for y for every x intercept? If so, why?

Question 214765: is xy-5y=1 a function such that there is one value for y for every x intercept? If so, why?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
is xy-5y=1 a function such that there is one value for y for every x intercept? If so, why?
----------------------
Solve for "y".
y(x-5) = 1
y = 1/(x-5)
-----------------------
There are no x-intercepts.
To find the x-intercept you would let y = 0 and you would get:
0 = 1/(x-5)
Then cross-multiplying you would get 0 = 1.
Obviously there are no x- intercepts.
Cheers,
Stan H.
RELATED QUESTIONS
Hello out there,I'm writing for some help with some slope-intercept problems,the first... (answered by jim_thompson5910)

By giving a proof or a counterexample, determine the truth value of the following... (answered by LinnW)

Is there a value for C (C is not = to 0) such that the trinomial X squared + X + C is... (answered by longjonsilver)

y=3x-1/x+2 Does this equation define y as a function of x? I see that there is one... (answered by richwmiller)

Let f be a function such that f(xy) + x = xf(y) + f(x) + xy^2 for all real numbers x... (answered by CPhill,ikleyn,Edwin McCravy,mccravyedwin)

G is a finite semigroup such that for each x, y, z, if xy = yz, then x = z. Prove that G (answered by robertb)

6. Tayler claims that when a linear equation is written in general form, Ax + By + C =... (answered by josgarithmetic)

Let X and Y represent continuous random variables. Let {{{f(x,y)=(xy/4)}}} For -1 < x < (answered by ikleyn)

How do you tell if a table or if a graph represents a function? Well, LET THE TABLE OR... (answered by venugopalramana,ushergurl)