Answer:
Depends on equation.
Explanation:
What are multivariable function when equal to multiple equations you ask?
What we're building to
What were building to:
A function is called multivariable if its input is made up of multiple numbers.
f(x,y) = x^2y (x-squared, y)
If the output of a function consists of multiple numbers, it can also be called multivariable, but these ones are also commonly called vector-valued functions.
f(x)=[ cos(x) ]
[ sin(x) ]
=multiple number output
Visualizing these functions is all about thinking of space with multiple dimensions (typically just two or three if we don't want our brains to explode).
What are multivariable functions?
When I first learned about functions, and maybe this is true for you too, I remember always thinking about them as taking in a number and outputting a number. A typical example would be something like this:
f(x)=x^2
or this:
f(x)=sin(x)+2 square root of x
And if you think back to the first time you learned about functions, you might have been taught to imagine the function as a machine which sucks in some input, somehow manipulates it, then spits out an output. But really, functions don't just have to take in and spit out numbers, they can take in any thing and spit out any thing. In multivariable calculus, that thing can be a list of numbers. That is to say, the input and/or output can consists of multiple numbers.
if you need more help with multivariable functions, try khan academy. it really helped me when I did honors.
does this help any?