What is the difference between f(x) and f(x,y)?

Question

In general.
Thanks

Answer 1

f(x) is a function of one variable.

for example for a straight line
y= f(x) = 2x+4 is a straight line.

f(x,y) is a function of 2 variables.

for example area of a recangle(with sides x,y ) f(x,y) = xy .

Here lenght and breadth are 2 sides size

Answer 2

Alright, here's an actual answer that makes actual sense from someone who has actually used functions of more than one variable.

f(x) is in two dimensions. y varies based solely on x, and the graph is plotted in the 2D x-y plane.
f(x,y) is in three dimensions, and a little tricker. Picture your x-y plane lying flat on the ground. x and y are both independent variables, and their values determine a third value, z, whose axis points straight up in the air. A function of x and y can also be written as z = such and such, for example, z = 3x^2 - 6xy + 4y^4.
Hope that helps.

Answer 3

The first function has one variable(x) but the second has two(x and y)so the value of the first changes only by changing x but the second function changes acording to the changes of two variables(x and y)

Answer 4

The simplest explanation is that f(x) is the function for the single independent variable, which is x. f(x,y) however, is the function for the two (2) independent variables, x and y.

Answer 5

f(x) is a function that gives you the data about x
for instance: f(x)= x^2 + 1
but f(x,y) is an inexplicit function. which gives you the data about x and y:
like: y^2 + xy + x^2= 0

Answer 6

f(x) is the function of x, not sure what function of (x,y) is. Sorry I couldn't help more. By the way, a function is for every input there is one and only one output. Good Luck!

Answer 7

f(x) is a function with only one independent variable, while f(x) is the dependent variable.
f(x,y) is a function with two independent variables, while f(x,y) is the dependent variable.

Th.

Answer 8

f(x) is the function its a way to define it
whereas f(x,y) could be the coordinates of any point x and y

Answer 9

Ok. f(x) is a linear function and it's variable is x. f(x,y) is a vectorial function and it's variables are x and y.

Answer 10

maybe its suppose to mean f(x), f(y)?