is xy-2y=1 a function?

Question

is is xy-2y=1 a function, can you explain how also

Answer 1

Hi Ighodalo! A function is defined as a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output. This means that for every x value, there should be exactly 1 y value. When plotted in a graph, xy-2y = 1 you can clearly see that for every x value, there is only 1 y-value. Hope that helps!

Answer 2

Want to learn how to program Matlab to solve this and other math problems?

At the Matlab (or Octave) prompt, type the following and examine the resulting graph to see if it fits the definition of "function"

>> syms f x y

>> f = solve(x*y -2*y == 1,y)

>> ezplot(f)

Don't have Matlab? Use Octave (a Matlab Clone) at octave-online.net.

Answer 3

For each x, there is at most one y. [y is a function of x]

For each y, there is at most one x. [x is a function of y]

Answer 4

Y(x-2)=1

Y=1/(x-2) =f(x)

Suppose there are 2 different y1 & y2 for the same x...

Y1=1/(x-2)=y2

X-2 = 1/y1 = 1/y2 ---> y1=y2

You can also look at the graph