Question

find the domain and range of the function defined by f(x) √x-y​

Answer 1

Answer:

First identify the input values. The input value is the first coordinate in an ordered pair. There are no restrictions, as the ordered pairs are simply listed. The domain is the set of the first coordinates of the ordered pairs.

\displaystyle \left\{2,3,4,5,6\right\}{2,3,4,5,6}

Answer 2

Answer:

Step-by-step explanation:

value of x  value of [x] f(x)=−∣x∣   whether real number

2 |2 |=2  -2  yes

1  |1|=0  -1  yes

0  |0|=0  0  yes

-1  |-1|=1  -1  yes

-2  |-2|=2  -2  yes

Here we are given a real function

Hence, both domain and range should be real numbers

From the above table

X can be any real number  

and f(X) will always be negative or zero  

All these are real values.

Here, value of domain $(Xx$$  can be negative number

Hence, Domain =R (all real number)

we note that the range f(x) is 0 or negative numbers  

So, range cannot be positive  

Hence, Range =Non positive real number.