Question

Write the domain and range of f(x) = - |x|​

Answer 1

Answer:

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.

Step-by-step explanation:

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

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.

for more explanation see attachment