Question

Find the range of the following functions given by `sqrt(16 - x^2)`

Answer 1

The domain of f

Where f(x) = `sqrt(16 - x^2)` is given by [– 4, 4]

For the range

Let y = `sqrt(16 - x^2)`

Then y² = 16 – x²

or x² = 16 – y²

Since x ∈ [– 4, 4]

Thus range of f = [0, 4]