Question

Find the domain and range of the given function () = √16 − ​

Answer 1

Consider the given function.

f(x)=

16−x

2

For domain under root should not be negative quantity,

16−x

2

≥0

16≥x

2

Therefore,

x≤4 or x≥−4

Then,

The domain[−4,4]

Range: f(x) is maximum at x=0,f(x)=4

And f(x) is minimum at x=4,f(x)=0

Range

[0,4]

Hence, this is the answer