Question

f(x,y)=4(x^2)+9(y^2) How to check whether it's bounded or not ?

Answer 1

i just have a rough idea
i think that you should check that this function is true or it does not give imaginary value for any x or y
and this gives a real number as the output for all real values of x and y
so it may not be a bounded function
hope this helps you

Answer 2

What do you exactly mean by 'bounded'?

Answer 3

there are multiple ways of interpreting it
were you given bounds for x and y?

Answer 4

@Rjun95 i mean that the values of x and y can only belong to a particular interval of numbers
for example,
x^2-4>0
for x to be real, it should belong to the interval(-infinity to -2)union(2 to infinity)